This site is supported by donations to The OEIS Foundation.

CiteSa

From OeisWiki
Jump to: navigation, search


"When Erdenberger [6] appeared on the arXiv, John McKay immediately pointed out that this is the list of supersingular primes A002267, the primes that divide the order of the Monster..." [G. K. Sankaran, 2020]

"We used the Online Encyclopedia of Integer Sequences to trace related research..." [Luigi Santocanale, 2019]

"It was a knock-out when after entering the sequence 2,5,15,51,187,715,... in the page OEIS, we found a great variety of different interpretations for it..." [Carlos Segovia, 2013]

"The numbers that came out were 4, 28, 232, 2092, 19864, . . . and we couldn't see a pattern. In desperation, we sent them to superseeker@research.att.com (now superseeker@oeis.org) (a miracle program created by Neil Sloane). ..." [SIAM News, 1999]

"The authors are thankful to the On-Line Encyclopedia of Integer Sequences [12], which drew their attention to plane permutations." [Jannik Silvanus and Jens Vygen, 2017]


About this page

  • This is part of the series of OEIS Wiki pages that list works citing the OEIS.
  • Additions to these pages are welcomed.
  • But if you add anything to these pages, please be very careful — remember that this is a scientific database. Spell authors' names, titles of papers, journal names, volume and page numbers, etc., carefully, and preserve the alphabetical ordering.
  • If you are unclear about what to do, contact one of the Editors-in-Chief before proceeding.
  • Works are arranged in alphabetical order by author's last name.
  • Works with the same set of authors are arranged by date, starting with the oldest.
  • This section lists works in which the first author's name begins with Sa to Sk.
  • The full list of sections is: A Ba Bi Ca Ci D E F G H I J K L M N O P Q R Sa Sl T U V W X Y Z.
  • For further information, see the main page for Works Citing OEIS.

References

  1. Lucas Sá and Antonio M. García-García, The Wishart-Sachdev-Ye-Kitaev model: Q-Laguerre spectral density and quantum chaos, arXiv:2104.07647 [hep-th], 2021. See also Phys. Rev. D (2022) Vol. 105, 026005. doi:10.1103/PhysRevD.105.026005 (A067311, A130534, A263776)
  2. Mark Saaltink, Generalized trigonometry and Chebyshev functions in finite fields, Finite Fields and Their Applications (2023) Vol. 86, 102143. doi:10.1016/j.ffa.2022.102143
  3. Mohamed Sabba, A quantum Pascal pyramid and an extended de Moivre-Laplace theorem, arXiv:2404.03560 [quant-ph], 2024. See pp. 1-2. (A268533)
  4. Ahmad Sabri and Vincent Vajnovszki, More restricted growth functions: Gray codes and exhaustive generations, arXiv:1703.05856 [math.CO], 2017.
  5. Ahmad Sabri, Vincent Vajnovszki, Exhaustive generation for ballot sequences in lexicographic and Gray code order, 2018. PDF (A000085)
  6. Ahmad Sabri, Vincent Vajnovszki, On the exhaustive generation of generalized ballot sequences in lexicographic and Gray code order, Pure Mathematics and Applications (2019) Vol. 28, Issue 1, 109-119. doi:10.1515/puma-2015-0035 (A000085)
  7. Cihan Sabuncu, Right-angled triangles with almost prime hypotenuse, arXiv:2401.16334 [math.NT], 2024. (A281505)
  8. R. Sachdeva and A.K. Agarwal, Combinatorics of certain restricted n-color composition functions, Discrete Mathematics, 340, (2017), 361-372.
  9. J. Sack and H. Ulfarsson, Refined inversion statistics on permutations, Arxiv preprint arXiv:1106.1995, 2011.
  10. Yaniv Sadeh, Ori Rottenstreich, Arye Barkan, Yossi Kanizo, Haim Kaplan, Optimal Representations of a Traffic Distribution in Switch Memories, IEEE INFOCOM 2019 - IEEE Conference on Computer Communications. doi:10.1109/INFOCOM.2019.8737645
  11. Yaniv Sadeh, Ori Rottenstreich, and Haim Kaplan, Optimal approximations for traffic distribution in bounded switch memories, Proceedings of the 16th International Conference on emerging Networking EXperiments and Technologies (CoNEXT 2020), 309–322. doi:10.1145/3386367.3431297
  12. Yaniv Sadeh, Ori Rottenstreich, and Haim Kaplan, Codes for Load Balancing in TCAMs: Size Analysis, arXiv:2212.13256 [cs.NI], 2022. (A007302)
  13. Markus Saers, Dekai Wu and Chris Quirk, On the Expressivity of Linear Transductions, PDF.
  14. Pablo Saez, X. Vidaux, M. Vsemirnov, Optimal bounds for Buchi's problem in modular arithmetic, Journal of Number Theory Volume 149, April 2015, Pages 368-403.
  15. Bruce E. Sagan, Congruences via abelian groups, Journal of Number Theory, Volume 20, Issue 2, April 1985, Pages 210-237.
  16. Bruce Sagan, Proper partitions of a polygon and k-Catalan numbers (2004), arXiv:math/0407280 and Ars. Comb. 88 (2008) 109-124.
  17. The Sage Development Team, Common Graphs (Graph Generators), Graph Theory, Sage 9.2 Reference Manual (2020). Common Graphs (Graph Generators) (A000055, A000088, A000666, A001349, A002851, A0033995, A081621, A113201)
  18. The Sage Development Team, Graph Theory (Various families of graphs), Sage 9.2 Reference Manual (2020). HTML (A000055)
  19. Barun Kumar Saha, Sudip Misra, Sujata Pal, SeeR: Simulated Annealing-Based Routing in Opportunistic Mobile Networks, IEEE Transactions on Mobile Computing, Vol. 16, No. 10, October 2017. doi:10.1109/TMC.2017.2673842
  20. Satvik Saha, Sohom Gupta, Sayan Dutta, and Sourin Chatterjee, Characterising Solutions of Anomalous Cancellation, arXiv:2302.00479 [math.HO], 2023.
  21. Bünyamin Şahin, Level Polynomials of Rooted Trees, 2023. doi:10.20944/preprints202312.0902.v1 (A000914, A002620, A067056)
  22. Murat Sahin and Elif Tan, Conditional (strong) divisibility sequences, Fib. Q., 56 (No. 1, 2018), 18-31.
  23. Hanno Sahlmann, Entropy calculation for a toy black hole (2007), arXiv:0709.0076.
  24. Soumyadip Sahu, On Certain Reciprocal Sums, arXiv:1807.05454 [math.NT], 2018. (A248230, A248234)
  25. M. K. Sahukar and G. K. Panda, Repdigits in Euler functions of Pell numbers, Fib. Q., 57 (No. 2, 2019), 134-138.
  26. Monjul Saikia, Md. Anwar Hussain, "Location-Independent Key Distribution for Sensor Network Using Regular Graph", Progress in Computing, Analytics and Networking, Proceedings of ICCAN 2017 (2018), 1-8. doi:10.1007/978-981-10-7871-2
  27. Anthony Saint-Criq, What is so exotic about dimension four?, Univ. de Toulouse (France 2022). PDF (A001676)
  28. R. Sainudiin, Algebra and Arithmetic of Plane Binary Trees, Slides of a talk, 2014; http://www.math.canterbury.ac.nz/~r.sainudiin/talks/MRP_UCPrimer2014.pdf
  29. Raazesh Sainudiin, Statistical Regular Pavings in Bayesian Nonparametric Density Estimation, 2014; http://archytas.birs.ca/workshops/2014/14w5125/files/Sainudiin.pdf
  30. R. Sainudiin, Some Arithmetic, Algebraic and Combinatorial Aspects of Plane Binary Trees, Slides from a talk, Oct 27 2014; http://www.math.canterbury.ac.nz/~r.sainudiin/talks/20141027_AriAlgComPBT_CornellDGCSeminar.pdf
  31. R Sainudiin, A Veber, A Beta-splitting model for evolutionary trees, arXiv preprint arXiv:1511.08828, 2015
  32. S. Saito, T. Tanaka, N. Wakabayashi, Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values, J. Int. Seq. 14 (2011) # 11.2.4
  33. A. Sakhnovich, L. Sakhnovich, Nonlinear Fokker-Planck equation: stability, distance and corresponding extremal problem in the spatially inhomogeneous case, arXiv preprint arXiv:1307.1126, 2013.
  34. Sakshi and Vinay Kukreja, A retrospective study on handwritten mathematical symbols and expressions: Classification and recognition, Engineering Applications of Artificial Intelligence (2021) Vol. 103, 104292. doi:10.1016/j.engappai.2021.104292
  35. Massimiliano Sala and Daniele Taufer, A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring, Int'l J. Group Theory (2022), Art. no. 26665. doi:10.22108/ijgt.2022.131984.1769 (A003172)
  36. Ana Salagean, David Gardner and Raphael Phan, Index Tables of Finite Fields and Modular Golomb Rulers, in Sequences and Their Applications - SETA 2012, Lecture Notes in Computer Science. Volume 7280, 2012, pp. 136-147.
  37. Ana Sălăgean, Ferruh Özbudak, Counting Boolean functions with faster points, Designs, Codes and Cryptography (2020). doi:10.1007/s10623-020-00738-7 (A316554)
  38. Sajad Salami, On special matrices related to Cauchy and Toeplitz matrices, Instítuto da Matemática e Estatística, Universidade Estadual do Rio de Janeiro (Brazil, 2019). PDF (A005249)
  39. J. Salas and A. D. Sokal, arXiv:cond-mat/0004330 Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models I. General Theory and Square-Lattice Chromatic Polynomial], J. Statist. Phys. 104 (2001) 609-699.
  40. J. Salas and A. D. Sokal, Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial, J. Stat. Phys. 135 (2009) 279-373, arXiv:0711.1738
  41. H Salehian, R Chakraborty, E Ofori, D Vaillancourt, An efficient recursive estimator of the Fréchet mean on a hypersphere with applications to Medical Image Analysis, Preprint 2015; http://www-sop.inria.fr/asclepios/events/MFCA15/Papers/MFCA15_4_2.pdf
  42. A Salerno, D Schindler, A Tucker, Symmetries of Rational Functions Arising in Ecalle's Study of Multiple Zeta Values; http://www.math.rochester.edu/people/faculty/abeeson/mzv1c.pdf, 2015; In: Women in Numbers Europe: Research Directions, Springer, 2015
  43. Ville Salo, Decidability and Universality of Quasiminimal Subshifts, arXiv preprint arXiv:1411.6644, 2014.
  44. Ville Salo, Universal gates with wires in a row, arXiv:1809.08050 [math.GR], 2018. (A000031)
  45. Ville Salo, Subshifts with sparse traces, University of Turki, Finland (2019). PDF (A055979)
  46. Ville Salo, Cutting Corners, arXiv:2002.08730 [math.DS], 2020. (A295928)
  47. D. Salomon, Variable-length Codes for Data Compression, Springer-Verlag.
  48. D. Salomon, G. Motta, doi:10.1007/978-1-84882-903-9, Handbook of data compression, Springer, 2010.
  49. V. Salov, Inevitable Dottie Number. Iterals of cosine and sine, arXiv:1212.1027, 2012
  50. E. Salturk and I. Siap, Generalized Gaussian Numbers Related to Linear Codes over Galois Rings, European Journal of Pure and Applied Mathematics, Vol. 5, No. 2, 2012, 250-259; ISSN 1307-5543; www.ejpam.com.
  51. Paolo Salvatore and Roberto Tauraso, The operad Lie is free (2008); arXiv:0802.3010; Journal of Pure and Applied Algebra, Volume 213, Issue 2, February 2009, Pages 224-230.
  52. Rafaele Salvia, A catalogue of matchstick graphs, arXiv:1303.5965
  53. Ivano Salvo, Agnese Pacifico, Computing Integer Sequences: Filtering vs Generation (Functional Pearl), arXiv:1807.11792 [cs.PL], 2018. (A002858, A033629)
  54. B. Salvy, Automatic Asymptotics and Generating Functions, Algorithms seminar, 1992-1993, INRIA Research Report #2130, 47-50. (Ps, Pdf)
  55. B. Salvy, Découverte de récurrences
  56. B. Salvy and S. Yu. Slavyanov, A Combinatorial Problem in the Classification of Second-Order Linear ODE's, Research Report no. 2600, Institut National de Recherche en Informatique et en Automatique, 1995. 7 pages.
  57. B. Salvy and P. Zimmermann, Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable. ACM Transactions on Mathematical Software, vol. 20, no. 2, 1994, pages 163-177.
  58. B. Sambale, Pseudo-Sylow numbers, Amer. Math. Monthly 126 (2019), 60-65.
  59. Benjamin Sambale, On a theorem of Ledermann and Neumann, arXiv:1909.13220 [math.GR], 2019. (A137315)
  60. Samieinia, Shiva, The number of Khalimsky-continuous functions on intervals. Rocky Mountain J. Math. 40 (2010), no. 5, 1667-1687.
  61. S. Samieinia, doi:10.4171/PM/1858, The number of continuous curves in digital geometry, Port. Mathem. 67 (1) (2010) 75-89
  62. M. J. Samuel, Word posets, with applications to Coxeter groups, Arxiv preprint arXiv:1108.3638, 2011.
  63. Pablo San Segundo, Fabio Furini, Jorge Artieda, A new branch-and-bound algorithm for the Maximum Weighted Clique Problem, Computers & Operations Research (2019) Vol. 110, 18-33. doi:10.1016/j.cor.2019.05.017 (A265032)
  64. F. M. Sanchez, Remarkable Properties of the Eddington Number 137 and Electric Parameter 137.036 excluding the Multiverse Hypothesis, 2015; http://www.rxiv.org/pdf/1502.0147v5.pdf
  65. Sanchez, F. , Grosmann, M. , Veysseyre, R. , Veysseyre, H. and Weigel, D. (2021) Towards Science Unification through Number Theory. Advances in Pure Mathematics, 11, 27-62. doi: 10.4236/apm.2021.111004.
  66. Selene Sanchez-Flores, The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero (2007), arXiv:0711.2810; Journal of Algebra, Volume 320, Issue 12, 15 December 2008, Pages 4249-4269.
  67. J. Sander, J. Steuding, R. Steuding, Diophantine aspects of the Calkin-Wilf iteration, El. Math. 66 (2) (2011) 45-55 doi:10.4171/EM/170
  68. Maya Sankar, Further Bijections to Pattern-Avoiding Valid Hook Configurations, arXiv:1910.08895 [math.CO], 2019. (A005700, A005789, A151347)
  69. G. K. Sankaran, Locally symmetric varieties and holomorphic symplectic manifolds, University of Bath (UK, 2020). PDF (A002267) When [6] appeared on the arXiv, John McKay immediately pointed out that this is the list of supersingular primes A002267, the primes that divide the order of the Monster: the same list, recognised by the same person, led to the Moonshine conjectures and the famous work of Borcherds (yielding, among many other things, the Borcherds form Φ). We still do not have a completely satisfactory explanation for this coincidence, although it is not completely mysterious. It is quite likely that it is an artefact of the proof: it could perfectly well be that, for example, A71 is in fact of general type.
  70. G. K. Sankaran, A supersingular coincidence, arXiv:2009.11379 [math.NT], 2020. (A002267)
  71. David Sankoff and Lani Haque, Power Boosts for Cluster Tests, in Comparative Genomics, Lecture Notes in Computer Science, Volume 3678/2005, Springer-Verlag.
  72. C. Sanna, On Arithmetic Progressions of Integers with a Distinct Sum of Digits, Journal of Integer Sequences, Vol. 15 (2012), #12.8.1.
  73. Carlo Sanna, On the number of distinct exponents in the prime factorization of an integer, arXiv:1902.09224 [math.NT], 2019. (A071625, A130091)
  74. Noriaki Sannomiya, H Katsura, Y Nakayama, Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion, arXiv preprint arXiv:1612.02285, 2016
  75. Joseph M. Santmyer, A stirling like sequence of rational numbers, Discrete Mathematics, Volume 171, Issues 1-3, 20 June 1997, Pages 229-235.
  76. Joe Santmyer, Derivative Polynomials for Trigonometric and Hyperbolic Functions, Arhimede Math. J. (2023) Vol. 10, No. 2, 152-158. PDF (A000364, A028296)
  77. Luigi Santocanale, On discrete idempotent paths, arXiv:1906.05590 [math.LO], 2019. (A001519, A001906, A088305, A144224) We used the Online Encyclopedia of Integer Sequences to trace related research...
  78. Santocanale, Luigi; Wehrung, Friedrich The extended permutohedron on a transitive binary relation. European J. Combin. 42 (2014), 179-206.
  79. L Santocanale, F Wehrung, G Grätzer, F Wehrung, Generalizations of the Permutohedron, in Grätzer G., Wehrung F. (eds) Lattice Theory: Special Topics and Applications. Birkhäuser, Cham, pp. 287-397; doi:10.1007/978-3-319-44236-5_8
  80. Paolo Santonastaso and Ferdinando Zullo, Linearized trinomials with maximum kernel, arXiv:2012.14861 [math.NT], 2020. (A053182, A066100)
  81. Andrés Santos, Density Expansion of the Equation of State, in A Concise Course on the Theory of Classical Liquids, Volume 923 of the series Lecture Notes in Physics, pp 33-96, 2016. doi:10.1007/978-3-319-29668-5_3
  82. F. Santos, C. Stump, V. Welker, Noncrossing sets and a Grassmann associahedron, arXiv preprint arXiv:1403.8133, 2014; also in FPSAC 2014, Chicago, USA; Discrete Mathematics and Theoretical Computer Science (DMTCS) Proceedings, 2014, 609-620.
  83. Yudi Santoso, Mining Small Subgraphs in Massive Graphs, Ph. D. Dissertation, Univ. Victoria (BC, Canada, 2023). See p. 22. PDF (A001349)
  84. Biswajit Sanyal, S Majumder, WK Hon, Efficient Generation of Top-k Procurements in a Multi-item Auction, in WALCOM: Algorithms and Computation: 10th International Workshop, WALCOM 2016, Kathmandu, Nepal, March 29–31, 2016, Proceedings, Pages pp 181-193, 2016; doi:10.1007/978-3-319-30139-6_15
  85. Biswajit Sanyal, Subhashis Majumder, Wing-Kai Hon, Prosenjit Gupta, Efficient meta-data structure in top-k queries of combinations and multi-item procurement auctions, Theoretical Computer Science (2020) Vol. 814, 210-222. doi:10.1016/j.tcs.2020.01.036
  86. Raman Sanyal, Axel Werner, Günter M. Ziegler, On Kalai's conjectures concerning centrally symmetric polytopes (2007), arXiv:0708.3661.
  87. Matthew Saponaro and Keith Decker, Analysis of Meta-level Communication for Distributed Resource Allocation Problems, AAMAS '17 Proceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems, pp. 1728-1730.
  88. Sapounakis, A.; Tasoulas, I.; Tsikouras, P. Ordered trees and the inorder traversal. Discrete Math. 306 (2006), no. 15, 1732-1741.
  89. A. Sapounakis, I. Tasoulas and P. Tsikouras, "On the Dominance Partial Ordering of Dyck Paths", J. Integer Sequences, Volume 9, 2006, Article 06.2.5.
  90. A. Sapounakis, I. Tasoulas and P. Tsikouras, Counting strings in Dyck paths, Discrete Math., 307 (2007), 2909-2924.
  91. A. Sapounakis, I. Tasoulas, P. Tsikouras, Enumeration of strings in Dyck paths: A bijective approach, Discrete Mathematics, Volume 309, Issue 10, 28 May 2009, Pages 3032-3039.
  92. A. Sapounakis and P. Tsikouras, "On k-colored Motzkin words", J. Integer Sequences, Volume 7, 2004, Article 04.2.5.
  93. Sapounakis, A.; Tsikouras, P. Counting peaks and valleys in k-colored Motzkin paths. Electron. J. Combin. 12 (2005), Research Paper 16, 20 pp.
  94. Aristidis Sapounakis, Panagiotis Tsikouras, Ioannis Tasoulas, Kostas Manes, Strings of Length 3 in Grand-Dyck Paths and the Chung-Feller Property, Electr. J. Combinatorics, 19 (2012), #P2.
  95. M. Saračević and A. Selimi, Data Encryption for IoT Applications Based on Two-Parameter Fuss–Catalan Numbers, Security and Trust Issues in Internet of Things: Blockchain to the Rescue (2020), see page 150.
  96. Asif Ahmed Sardar, Dibbendu Roy, Washim Uddin Mondal, and Goutam Das, Coalition Formation for Outsourced Spectrum Sensing in Cognitive Radio Network, IEEE Transactions on Cognitive Communications and Networking (2023). doi:10.1109/TCCN.2023.3254512
  97. G. M. Saridis et al., Survey and Evaluation of Space Division Multiplexing: From Technologies to Optical Networks, EEE COMMUNICATIONS SURVEYS & TUTORIALS, AUGUST 2015, doi:10.1109/COMST.2015.2466458
  98. Jyotirmoy Sarkar, Counting Candy Sequences: An Enumeration Problem, Resonance (2023) Vol. 28, 719-735. doi:10.1007/s12045-023-1601-9
  99. Rahul Sarkar, Ewout van den Berg, On sets of commuting and anticommuting Paulis, arXiv:1909.08123 [quant-ph], 2019. (A128036)
  100. Umit Sarp, Visualising connections between types of polygonal number, Math. Gazette (2023) Vol. 107, Issue 568, pp. 56-64. doi:10.1017/mag.2023.7
  101. T. Sasao and J. T. Butler, Applications of Zero-Suppressed Decision Diagrams, Synthesis Lectures on Digital Circuits and Systems, November 2014, 123 pages, doi:10.2200/S00612ED1V01Y201411DCS045
  102. Ulrike Sattler, Decidable classes of formal power series with nice closure properties, Diplomarbeit im Fach Informatik, Univ. Erlangen - Nuernberg, Jul 27 1994.
  103. Pratik Saturi, Back to society, Masters thesis, Unitec Institute of Technology (New Zealand, 2019). PDF (A000045)
  104. J. Sauerberg and L. Shu, The long and the short on counting sequences, Amer. Math. Monthly 104 (1997), no. 4, 306-317.
  105. Cédric Saule, Mireille Regnier, Jean-Marc Steyaert, Alain Denise, Counting RNA pseudoknotted structures (extended abstract), dmtcs:2834 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
  106. Arnold Saunders, A Class of Random Recursive Tree Algorithms with Deletion, arXiv:1906.02720 [math.PR], 2019. (A001405)
  107. Arnold T. Saunders, Jr., Random Recursive Tree Evolution Algorithms: Identification and Characterization of Classes of Deletion Rules, Ph. D. thesis, The George Washington University, ProQuest Dissertations Publishing (2020) 27830773. Preview (A001405, A024493) Cross-referencing a counting sequence with the Online Encyclopedia of Integer Sequences (OEIS) often uncovers unexpected connections with other combinatorial classes
  108. Lorenzo Sauras-Altuzarra, Some arithmetical problems that are obtained by analyzing proofs and infinite graphs, arXiv:2002.03075 [math.NT], 2020. (A055089, A253317)
  109. Lorenzo Sauras-Altuzarra, Some properties of the factors of Fermat numbers, Art Discrete Appl. Math. (2022). doi:10.26493/2590-9770.1473.ec5 (A001481, A023394, A023395, A046052, A093179, A129290, A342173, A343767)
  110. Savage, Carla D. Generating permutations with k-differences. SIAM J. Discrete Math. 3 (1990), no. 4, 561--573. MR1069115 (92c:05003)
  111. Carla D. Savage and Gopal Viswanathan, The 1/k-Eulerian Polynomials, Electr. J. Combinatorics, 19 (2012), #P9.
  112. Carla D. Savage and Herbert S. Wilf, Pattern avoidance in compositions and multiset permutations (2005), arXiv:math/0504310.
  113. S. Savitz and M. Bintz, Exceptional Lattice Green's Functions, arXiv:1710.10260 [math-ph], 2017.
  114. Sawada, J., A simple Gray code to list all minimal signed binary representations. SIAM J. Discrete Math. 21 (2007), no. 1, 16-25 .
  115. Joe Sawada, Roy Li, Stamp Foldings, Semi-Meanders, and Open Meanders: Fast Generation Algorithms, Electr. J. Combinatorics, 19 (2012), #P43.
  116. Sawada, J.; Williams, A. Efficient oracles for generating binary bubble languages. Electron. J. Combin. 19 (2012), no. 1, Paper 42, 20 pp.
  117. J Sawada, A Williams, Successor rules for flipping pancakes and burnt pancakes, Preprint 2015; http://www.cis.uoguelph.ca/~sawada/papers/pancake_successor.pdf
  118. Joe Sawada, Dennis Wong, An Efficient Universal Cycle Construction for Weak Orders, University of Guelph, School of Computer Science (2019). Presented at the 30th Coast Combinatorics Conference. PDF (A000670) Also Sawada, Joe, and Dennis Wong. "Efficient universal cycle constructions for weak orders." Discrete Mathematics 343.10 (2020): 112022.
  119. Nitin Saxena, Simone Severini, Igor Shparlinski, Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics (2007), arXiv:quant-ph/0703236.
  120. Robert I. Saye, On two conjectures concerning the ternary digits of powers of two, arXiv:2202.13256 [math.NT], 2022. (A351927, A351928)
  121. Artur Schaefer, Endomorphisms of The Hamming Graph and Related Graphs, arXiv preprint arXiv:1602.02186, 2016.
  122. Marcus Schaefer, Hanani—Tutte and Hierarchical Partial Planarity, SIAM J. Disc. Math. (2022) Vol. 36, Iss. 4. doi:10.1137/21M1464749
  123. Luke Schaeffer, Jeffrey Shallit, and Stefan Zorcic, Beatty Sequences for a Quadratic Irrational: Decidability and Applications, arXiv:2402.08331 [math.NT], 2024. (A000201, A001950, A001951, A003151, A007067, A080754, A082844, A097508, A097509, A141104, A141105, A141106, A141107, A189377, A189378, A189379, A276862, A276871, A276873)
  124. W. O. Scheeren, The Hidden Web: A Sourcebook, Published by Libraries Unlimited, Santa Barbara, CA, 2012.
  125. J. vom Scheidt, H.-J. Starkloff and R. Wunderlich, Stationary solutions of random differential equations with polynomial nonlinearities, Stochastic Analysis and Applications, 6(19):1059-1075, 2001.
  126. Edward Scheinerman, Efficient Local Representations of Graphs, In: Gera R., Hedetniemi S., Larson C. (eds) Graph Theory. Problem Books in Mathematics. Springer, 2016, doi:10.1007/978-3-319-31940-7_6
  127. Trevor Scheopner, The Cyclic Nature (and Other Intriguing Properties) of Descriptive Numbers, Princeton Undergraduate Mathematics Journal, Issue 1, Article 4, 2015. (A005151, A006711)
  128. Markus Schepke, Über Primzahlerzeugende Folgen, Bachelor Thesis, U. Hannover, (2009)
  129. Robert Scherer, Congruences modulo primes of the Romik sequence related to the Taylor expansion of the Jacobi theta constant θ3, arXiv:1904.04509 [math.NT], 2019. See also The Ramanujan Journal (2020). doi:10.1007/s11139-019-00216-2 (A317651)
  130. Robert Scherer, A criterion for asymptotic sharpness in the enumeration of simply generated trees, arXiv:2003.07984 [math.CO], 2020. (A059710)
  131. Robert Scherer, Topics in Number Theory and Combinatorics, Ph. D. Dissertation, Univ. of California Davis (2021). PDF (A005700, A059710, A194091)
  132. Nancy Scherich and Sherilyn Tamagawa, An Invariant of Virtual Trivalent Spatial Graphs, arXiv:2104.03830 [math.GT], 2021. For the 3×3 case, there 12 Latin Squares and 24 Latin Cubes. These numbers can be verified in the Online Encyclopedia of Integer Sequences.
  133. Manfred Scheucher, Hendrik Schrezenmaier, Raphael Steiner, A Note On Universal Point Sets for Planar Graphs, arXiv:1811.06482 [math.CO], 2018. (A000109, A000207, A006247, A007021, A027610)
  134. Alexander Schiemann, Ein Beispiel positiv definiter quadratischer Formen der Dimension 4 mit gleichen Darstellungszahlen, Archiv der Mathematik (1990) Vol. 54, No. 4, 372-375. doi:10.1007/BF01189584 (in German) (A317965)
  135. Jay L. Schiffman, Exploring the Fibonacci sequence of order two with CAS technology, Rowan Univ., 2013. PDF
  136. F. Schilder, Robust Text Analysis via Underspecification, in the Proceedings of the Workshop on Robust Methods in Analysis of Natutal Language Data (ROMAND 2000), A. Balim, V. Pallotta and H. Ghorbel (eds.), Lausanne, Switzerland, pages 105-120.
  137. Ernesto Schirmacher, Log-Concavity and the Exponential Formula, Journal of Combinatorial Theory, Series A, Volume 85, Issue 2, February 1999, Pages 127-134.
  138. Saul Schleimer, Bert Wiest, On the conjugacy problem in braid groups: Garside theory and subsurfaces, arXiv:1807.01500 [math.GT], 2018. (A080928)
  139. Saul Schleimer, Bert Wiest, Garside theory and subsurfaces: Some examples in braid groups, Groups Complexity Cryptology (2019) Vol. 11, Issue 2, 61-75. doi:10.1515/gcc-2019-2007
  140. E. Schlemm, On the expected number of successes in a sequence of nested Bernoulli trials, arXiv preprint arXiv:1303.4979, 2013
  141. S. C. Schlicker, Numbers Simultaneously Polygonal and Centered Polygonal, Mathematics Magazine, Vol. 84, No. 5, December 2011 , pp. 339-?; doi:10.4169/math.mag.84.5.339
  142. S. Schlicker, L. Morales, D. Schultheis, polygonal chain sequences in the space of compact sets, JIS 12 (2009) 09.1.7.
  143. Steven Schlicker, Roman Vasquez, and Rachel Wofford, Integer Sequences from Configurations in the Hausdorff Metric Geometry via Edge Covers of Bipartite Graphs, J. Int. Seq. (2023) Vol. 26, Art. 23.6.6. Abstract (A024023, A048291, A103453, A335608, A335609, A335610, A335611, A335612, A335613, A337416, A337417, A337418, A340173, A340174, A340175, A340199, A340200, A340201, A340403, A340404, A340405, A340433, A340434, A340435, A340436, A340437, A340438, A340897, A340898, A340899, A341551, A341552, A341553, A342327, A342328, A342580, A342796, A342850, A343372, A343373, A343374, A343800)
  144. Michael J. Schlosser and Meesue Yoo, Elliptic Rook and File Numbers, Electronic Journal of Combinatorics, 24(1) (2017), #P1.31
  145. Natalie Schluter, The Taylor expansion for dropout is divergent, 2018. PDF (A019538)
  146. Natalie Schluter, On approximating dropout noise injection, arXiv:1905.11320 [cs.LG], 2019. (A019538)
  147. Frank Schmidt and Rodica Simion, Card shuffling and a transformation on Sn, Aequationes Math. 44 (1992), No. 1, 11-34. doi:10.1007/BF01834201 (A192053)
  148. M. D. Schmidt, Generalized j-Factorial Functions, Polynomials, and Applications, J. Int. Seq. 13 (2010), 10.6.7.
  149. Maxie Schmidt, A computer algebra package for polynomial sequence recognition, MS Thesis, University of Illinois at Urbana-Champaign, 2014; https://www.ideals.illinois.edu/handle/2142/49378
  150. Maxie D. Schmidt, Square Series Generating Function Transformations, arXiv preprint arXiv:1609.02803, 2016
  151. Maxie D. Schmidt, New Congruences and Finite Difference Equations for Generalized Factorial Functions, arXiv:1701.04741 [math.CO], 2017.
  152. Maxie D. Schmidt, Factorization Theorems for Hadamard Products and Higher-Order Derivatives of Lambert Series Generating Functions, arXiv preprint arXiv:1712.00608, 2017.
  153. Maxie Dion Schmidt, A catalog of interesting and useful Lambert series identities, arXiv:2004.02976 [math.NT], 2020. (A133732)
  154. Heinz Schmitz and Sebastian Niemann, A Bicriteria Traveling Salesman Problem with Sequence Priorities, in Metaheuristics in the Service Industry, Lecture Notes in Economics and Mathematical Systems, Volume 624.
  155. Schmutz, Eric Period lengths for iterated functions. Combin. Probab. Comput. 20 (2011), no. 2, 289-298.
  156. Carsten Schneider, The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra, arXiv:2003.01921 [math.CO], 2020. (A001147) I highly appreciate “The On-Line Encyclopedia of Integer Sequences” (OEIS) … and supporting it by a donation of Doron Zeilberger gave an extrastrong motivation
  157. K. V. Schneider, Uncontrollable Networks for Laplacian Leader-Follower Dynamics, Bachelor's Thesis, University of Colorado Boulder (2021). PDF (A000225) Using the OEIS, we noticed that Sum_{k=1..n} binomial(n,k) = 2^n - 1.
  158. Robert Schneider, Andrew V. Sills, The Product of Parts or "Norm" of a Partition, Integers (2020) Vol. 20A, Article #A13. (A000792, A034893)
  159. K. Schöbel, An algebraic geometric approach to separation of variables, Habil. Thesis (2014) doi:10.1007/978-3-658-11408-4 Table 3.1
  160. K. Schöbel, A. P. Veselov, Separation coordinates, moduli spaces and Stasheff polytopes, Comm. Math. Phys. 337 (2014) 1255-1274 doi:10.1007/s00220-015-2332-x
  161. Lucius T. Schoenbaum, A Tapered Floating Point Extension for the Redundant Signed Radix 2 System Using the Canonical Recoding, arXiv:2105.14401 [cs.AR], 2021. (A001045)
  162. B. Schölkopf, Introduction to Machine Learning, 2011; PDF.
  163. Bernhard Schölkopf, Statistical and causal approaches to machine learning, https://www.youtube.com/watch?v=ek9jwRA2Jio, 2014 (see about 11 minutes into the talk).
  164. B. Schoenmakers, A tight lower bound for top-down skew heaps, Information Processing Letters, 61(5): 279-284, 14 March 1997.
  165. P. Schogt, The Wild Number Problem: math or fiction?, arXiv:1211.6583, 2012.
  166. Travis Scholl, Isogeny Graphs Over Composite Moduli, UCI Cryptographic Multilinear Map Learning Seminar, University of California Irvine, 2019. PDF (A001617)
  167. Bernard Schott, Les nombres brésiliens, Quadrature, no. 76, avril-juin 2010, pages 30-38 Les nombres brésiliens, Reprinted from Quadrature, no. 76, avril-juin 2010, pages 30-38, included here with permission from the editors of Quadrature.
  168. W. Schreiner, Computability and Complexity, Lecture Notes, Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria; http://www.risc.jku.at/people/schreine/papers/Computability2012.pdf
  169. Joachim Schröder, "Generalized Schröder Numbers and the Rotation Principle", J. Integer Sequences, Volume 10, 2007, Article 07.7.7.
  170. Joachim Schröder, The two-parameter class of Schröder inversions, Comment. Math. Univ. Carolinae 54 (2013) 5-19.
  171. J. Z. Schroeder, Every Cubic Bipartite Graph has a Prime Labeling Except K_(3,3), Graphs and Combinatorics (2019) Vol. 35, No. 1, 119–140. doi:10.1007/s00373-018-1980-y (A133122)
  172. A. Schuetz and G. Whieldon, Polygonal Dissections and Reversions of Series, arXiv preprint arXiv:1401.7194, 2014
  173. J. L. Schulman, The quantifier semigroup for bipartite graphs, Electronic Journal of Combinatorics, 18 (2011), #P123.
  174. Maria Schuld, Kamil Brádler, Robert Israel, Daiqin Su, Brajesh Gupt, A quantum hardware-induced graph kernel based on Gaussian Boson Sampling, arXiv:1905.12646 [quant-ph], 2019. (A000070)
  175. A. Schulte, S. VanSchalkwyk, A. Yang, On the divisibility and valuations of the Franel numbers, in MSRI-UP Research Reports, 2014; http://www.msri.org/system/cms/files/81/files/original/Research_Reports_2014_MSRI-UP_(Single_File).pdf#page=130
  176. Andrew J. Schultz and David A. Kofke, Fifth to eleventh virial coefficients of hard spheres, Phys. Rev. E 90, 023301, 4 August 2014.
  177. Stefan Schuster and Tatjana Malycheva, Enumeration of saturated and unsaturated substituted N-heterocycles, arXiv:2309.02343 [q-bio.BM], 2023. (A000204, A014217)
  178. P. K. Siliņš, Cross ratios for finite field geometries, Bachelor's Thesis, Univ. Groningen (Netherlands, 2024). See p. 17. Abstract (A046145)
  179. Alexandre Silva, Carlos Pereira dos Santos, João Pedro Neto, and Richard J. Nowakowski, Disjunctive sums of quasi-nimbers, Theor. Comp. Sci. (2022). doi:10.1016/j.tcs.2022.12.015 (A066998)
  180. Luís Fernando Schultz Xavier da Silveira, Turán Triangles, Cell Covers, Road Placement and Train Scheduling, Ph.D. thesis, University of Ottawa (Canada, 2020). PDF Using the results of these computer searches in the Online Encyclopedia of Integer Sequence [49], we discovered that this problem, when played on the square grid, is equivalent to several other known problems.
  181. P. R. F. Schumacher, A left weighted Catalan extension, Integers, 10 (2010), 771-792.
  182. P. R. F. Schumacher, Parking functions and generalized Catalan numbers, Dissertation, Texas A&M University (2009).
  183. Paul R. F. Schumacher, Descents in Parking Functions, Journal of Integer Sequences, Vol. 21 (2018), Article 18.2.3. HTML (A001263)
  184. R. Schumacher, Rapidly Convergent Summation Formulas involving Stirling Series, arXiv preprint arXiv:1602.00336, 2016
  185. Raphael Schumacher, Extension of Summation Formulas involving Stirling series, arXiv preprint arXiv:1605.09204, 2016
  186. Raphael Schumacher, The Formulas for the Distribution of the 3-Smooth, 5-Smooth, 7-Smooth and all other Smooth Numbers, arXiv preprint arXiv:1608.06928, 2016
  187. Raphael Schumacher, The self-counting identity, Fib. Quart., 55 (No. 2 2017), 157-167.
  188. R. Schumacher, How to sum the squares of the tetranacci numbers ..., Fib. Q., 57 (No. 2, 2019), 168-175.
  189. R. Schumacher, Explicit formulas for sums involving the squares of the first n Tribonacci numbers, Fib. Q., 58:3 (2020), 194-207.
  190. Raphael Schumacher, The Generalization of Faulhaber's Formula to Sums of Arbitrary Complex Powers, arXiv:2103.08027 [math.NT], 2021. (A008275)
  191. Tal Schuster, Ashwin Kalyan, Oleksandr Polozov, and Adam Tauman Kalai, Programming Puzzles, arXiv:2106.05784 [cs.LG], 2021. (A248380)
  192. Emil Daniel Schwab and Gabriela Schwab, k-Fibonacci numbers and Möbius Functions, Integers (2022) Vol. 22, #A64. PDF (A000045, A000129, A010892, A039834)
  193. T. Schwabhäuser, Preventing Exceptions to Robin's Inequality, arXiv preprint arXiv:1308.3678, 2013.
  194. Schwartz, Moshe; Etzion, Tuvi, Two-dimensional cluster-correcting codes. IEEE Trans. Inform. Theory 51 (2005), no. 6, 2121-2132.
  195. R. L. E. Schwarzenberger, Review of "The Mathematical Theory of Chromatic Plane Ornaments" by Thomas W. Wieting, Bull. London Math. Soc. (1983) Vol. 15, 163-164. doi:10.1112/blms/15.2.163 (A307293)
  196. Sylviane R. Schwer, Temporal Reasoning without Transitive Tables (2007), arXiv:0706.1290.
  197. Matthew W. Scroggs, Jørgen S. Dokken, Chris N. Richardson, Garth N. Wells, Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes, arXiv:2102.11901 [math.NA], 2021. (A334304)
  198. Carlos Segovia, Numerical computations in cobordism categories, http://www.mathi.uni-heidelberg.de/~csegovia/Arch/sequencewords.pdf, 2013 ["It was a knock-out when after entering the sequence 2,5,15,51,187,715,... in the page OEIS, we found a great variety of different interpretations for it..."]
  199. Carlos Segovia, Counting words with vector spaces, 2013; http://www.mathi.uni-heidelberg.de/~csegovia/Arch/sequencefourapproach.pdf
  200. C. Segovia, M. Winklmeier, Combinatorial Computations in Cobordism Categories, arXiv preprint arXiv:1409.2067, 2014
  201. Carlos Segovia and Monika Winklmeier, On the density of certain languages with p^2 letters, Electronic Journal of Combinatorics 22(3) (2015), #P3.16
  202. Amit Sehgal, Sunil Kumar, Sarita, Yashpal, Commutative Associative Binary Operations on a Set with Five Elements, J. Phys.: Conf. Ser. (2018) 1000 012063 doi:10.1088/1742-6596/1000/1/012063 (A023815)
  203. Jaroslav Seibert and Pavel Trojovsky, "On Multiple Sums of Products of Lucas Numbers", J. Integer Sequences, Volume 10, 2007, Article 07.4.5.
  204. Makoto Sekiyama, Toshiya Ohtsuki, Hiroshi Yamamoto, "Analytical Solution of Smoluchowski Equations in Aggregation–Fragmentation Processes", Journal of the Physical Society of Japan, 86.10, ID 104003 (2017), doi:10.7566/JPSJ.86.104003.
  205. Atsuto Seko, Tutorial: Systematic development of polynomial machine learning potentials for elemental and alloy systems, J. Appl. Phys. (2023) Vol. 133, 011101. doi:10.1063/5.0129045 (A000027, A002623)
  206. Atsuto Seko, Atsushi Togo, Isao Tanaka, Group-theoretical high-order rotational invariants for structural representations: Application to linearized machine learning interatomic potential, arXiv:1901.02118 [physics.comp-ph], 2019. (A000012, A000027, A008619, A008620, A008669, A008743, A059841)
  207. Thomas Selig, The stochastic sandpile model on complete graphs, arXiv:2209.07301 [math.PR], 2022. (A333331)
  208. Thomas Selig, Combinatorial aspects of sandpile models on wheel and fan graphs, arXiv:2202.06487 [math.CO], 2022. (A049600, A063007, A110170, A277919)
  209. Thomas Selig, Jason P. Smith, Einar Steingrímsson, EW-tableaux, Le-tableaux, tree-like tableaux and the Abelian sandpile model, arXiv preprint arXiv:1711.01622 [math.CO], 2017. Also in The Electronic Journal of Combinatorics (2018) 25 (3), 1-32. (A186370)
  210. Thomas Selig and Haoyue Zhu, Complete non-ambiguous trees and associated permutations: connections through the Abelian sandpile model, arXiv:2303.15756 [math.CO], 2023. (A001787, A038207)
  211. Thomas Selig and Haoyue Zhu, New combinatorial perspectives on MVP parking functions and their outcome map, arXiv:2309.11788 [math.CO], 2023. (A000110, A045891)
  212. Thomas Selig and Haoyue Zhu, Parking functions and Łukasiewicz paths, arXiv:2403.17438 [math.CO], 2024. (A000108, A001006)
  213. J. A. Sellers, Beyond Mere Convergence, PRIMUS (Problems, Resources and Issues in Mathematics Undergraduate Studies), XII, no. 2 (2002), 157-164.
  214. James A. Sellers, "Domino Tilings and Products of Fibonacci and Pell Numbers", J. Integer Sequences, Volume 5, 2002, Article 02.1.2.
  215. James A. Sellers, "Partitions Excluding Specific Polygonal Numbers As Parts", J. Integer Sequences, Volume 7, 2004, Article 04.2.4.
  216. James A. Sellers, Elementary Proofs of Congruences for POND and PEND Partitions, arXiv:2308.09999 [math.NT], 2023. (A265254, A265256)
  217. Jessica Sendef, Arryn Robbins, How scientists use statistics, samples, and probability to answer research questions, Frontiers for Young Minds (2019) Vol. 07, Article 118. doi:10.3389/frym.2019.00118
  218. Marjorie Senechal, Color groups, Disc. Appl. Math. (1979) Vol. 1, 51-73. doi:10.1016/0166-218X(79)90014-3 (A307293)
  219. Debajit Sensarma, Generating Graphic Integer Sequence from Graph Integrity, GIS Sci. J. (2023) Vol. 10, Issue 5, 969-980. Abstract
  220. D. Sensarma, S. S. Sarma, GMDES: A graph based modified Data Encryption Standard algorithm with enhanced security, IJRET: International Journal of Research in Engineering and Technology, Volume: 03 Issue: 03 | Mar-2014, eISSN: 2319-1163 | pISSN: 2321-7308; http://ijret.org/Volumes/V03/I03/IJRET_110303121.pdf; 2014.
  221. Debajit Sensarma, Samar Sen Sarma, Role of Graphic Integer Sequence in the Determination of Graph Integrity, Mathematics (2019) 7(3), 261. doi:10.3390/math7030261
  222. Debajit Sensarma, Samar Sen Sarma, On the Determination of Graphic Integer Sequence from Graph Integrity, Proceedings of the 2nd International Conference on Communication, Devices and Computing, Lecture Notes in Electrical Engineering book series (LNEE, 2019) Vol. 602, 451-461. doi:10.1007/978-981-15-0829-5_44
  223. Paolo Sentinelli, Right-angled Coxeter groups, universal graphs, and Eulerian polynomials, European Journal of Combinatorics (2020) Vol. 24, Article 103040. doi:10.1016/j.ejc.2019.103040
  224. Gülsüm Yeliz Şentürk, Nurten Gürses, and Salim Yüce, A New Look on Oresme Numbers: Dual-Generalized Complex Component Extension, 18th Int'l Geom. Symp. in Honour of Prof. Dr. Sadık Keleş, İnönü Univ. (Malatya, Turkey 2021). Abstract
  225. S. Seo and H. Shin, Another refinement for Rooted Trees, arXiv:1106.1290, 2011.
  226. M. R. Sepanski, On Divisibility of Convolutions of Central Binomial Coefficients, Electronic Journal of Combinatorics, 21 (1) 2014, #P1.32.
  227. Paolo Serafini, An Iterative Scheme to Compute Size Probabilities in Random Graphs and Branching Processes, Scientific Programming (2018), Article ID 3791075. doi:10.1155/2018/3791075 (A001006)
  228. Álvaro Serrano Holgado, The Tribonacci Dirichlet series, Acta Math. Hungarica (2023). doi:10.1007/s10474-023-01335-5
  229. Álvaro Serrano Holgado and Luis Manuel Navas Vicente, The zeta function of a recurrence sequence of arbitrary degree, arXiv:2301.11747 [math.NT], 2023. (A000073, A000288, A000322)
  230. Seroussi, Gadiel, On universal types. IEEE Trans. Inform. Theory 52 (2006), no. 1, 171-189.
  231. B. Servatius, O. Shai, and W. Whiteley, Combinatorial characterization of the Assur graphs from engineering, Eur. J. Comb. (2010) Vol. 31, 1091-1104. doi:10.1016/j.ejc.2009.11.019 (A350485)
  232. Seunghyun Seo, The Catalan Threshold Arrangement, Journal of Integer Sequences, 2017 Vol. 20, #17.1.1.
  233. Seunghyun Seo and Heesung Shin, Two involutions on vertices of ordered trees, http://hshin.info/attachment/ck11.pdf
  234. Simone Severini, Universal quantum computation with unlabeled qubits (2006), arXiv:quant-ph/0601078.
  235. Simone Severini, Nondiscriminatory Propagation on Trees (2008); arXiv:0805.0181
  236. Simone Severini and Ferenc Sz\"oll\H{o}si, A further look into combinatorial orthogonality (2007), arXiv:0709.3651.
  237. Yuriy Shablya, Combinatorial Generation Algorithms for Some Lattice Paths Using the Method Based on AND/OR Trees, Algorithms (2023) Vol. 16, No. 6, 266. doi:10.3390/a16060266 (A000108, A001006, A006318, A007318, A008288)
  238. Yuriy Shablya, Dmitry Kruchinin, Vladimir Kruchinin, Method for Developing Combinatorial Generation Algorithms Based on AND/OR Trees and Its Application, Mathematics (2020) Vol. 8, No. 6, 962. doi:10.3390/math8060962 (A000142, A007318, A033184, A173018, A316773)
  239. Yuriy Shablya and Dmitry Kruchinin, Algorithms for ranking and unranking the combinatorial set of RNA secondary structures, arXiv:2301.11890 [cs.DS], 2023. (A089732)
  240. Sarah Shader, Weighted Catalan Numbers and Their Divisibility Properties, Research Science Institute, MIT, 2014; http://math.mit.edu/news/summer/RSIPapers/2013Shader.pdf
  241. Shadrin, S.; Spitz, L.; Zvonkine, D.. On double Hurwitz numbers with completed cycles. J. Lond. Math. Soc., II. Ser. 86, No. 2, 407-432 (2012) doi:10.1112/jlms/jds010 arXiv:1103.3120
  242. Dylan Shah, Bilige Yang, Sam Kriegman, Michael Levin, Josh Bongard, and Rebecca Kramer‐Bottiglio, Shape Changing Robots: Bioinspiration, Simulation, and Physical Realization, Adv. Mater. 2020, 2002882. doi:10.1002/adma.202002882
  243. J. Shallit, An interesting continued fraction, Math. Mag. 48 (1975), no. 4, 207-211.
  244. J. Shallit, Rational Numbers with Non-Terminating, Non-Periodic Modified Engel-Type Expansions, Fibonacci Quarterly 31 (1993), 37-40.
  245. J. Shallit, Number theory and formal languages, in D. A. Hejhal, J. Friedman, M. C. Gutzwiller, and A. M. Odlyzko, eds., Emerging Applications of Number Theory, IMA Volumes in Mathematics and Its Applications, V. 109, Springer-Verlag, 1999, pp. 547-570.
  246. J. Shallit, Remarks on inferring integer sequences.
  247. J. Shallit, Editing an Electronic Journal, Notices Amer. Math. Soc., 62 (2015), 169-171; http://www.ams.org/notices/201502/rnoti-p169.pdf
  248. J. Shallit, Tribonacci Facts, Nov 03 2017, https://oeis.org/A275158/a275158.pdf
  249. Jeffrey Shallit, Sumsets of Wythoff Sequences, Fibonacci Representation, and Beyond, arXiv:2006.04177 [math.CO], 2020. (A000201, A001950)
  250. Jeffrey Shallit, Subword complexity of the Fibonacci-Thue-Morse sequence: the proof of Dekking's conjecture, arXiv:2010.10956 [cs.DM], 2020. (A095076)
  251. Jeffrey Shallit, Frobenius Numbers and Automatic Sequences, arXiv:2103.10904 [math.NT], 2021. (A000069, A000201, A001950, A001969, A007895, A342715, A342716, A342579, A342581)
  252. Jeffrey Shallit, Hilbert's spacefilling curve described by automatic, regular, and synchronized sequences, arXiv:2106.01062 [cs.FL], 2021. (A059252, A059253)
  253. Jeffrey Shallit, Synchronized Sequences, Proc. WORDS 2021, LCNS 12847 pp 1-19 (2021) doi:10.1007/978-3-030-85088-3_1
  254. Jeffrey Shallit, Intertwining of Complementary Thue-Morse Factors, arXiv:2203.02917 [cs.FL], 2022. (A006165, A060973)
  255. Jeffrey Shallit, Note on a Fibonacci Parity Sequence, arXiv:2203.10504 [cs.FL], 2022. (A095076)
  256. J. Shallit, Some Tribonacci Conjectures, arXiv:2210.03996, Oct 08 2022.
  257. Jeffrey Shallit, Counterexample to a Conjecture of Dombi in Additive Number Theory, arXiv:2212.12473 [math.NT], 2022. (A359263, A359264)
  258. Jeffrey Shallit, Proof of a conjecture of Krawchuk and Rampersad, arXiv:2301.11473 [math.CO], 2023. (A360104)
  259. Jeffrey Shallit, Proof of a conjecture of Krawchuk and Rampersad on the cyclic complexity of the Thue-Morse sequence, Integers (2023) Vol. 23, #A44. PDF (A360104)
  260. Jeffrey Shallit, Proof of Irvine's Conjecture via Mechanized Guessing, arXiv:2310.14252 [math.CO], 2023. (A026366, A026367, A026368, A028859, A155020, A285431, A286389)
  261. Jeffrey Shallit, Proving properties of some greedily-defined integer recurrences via automata theory, arXiv:2308.06544 [cs.DM], 2023. (A002251, A005378, A005379, A019444, A019446, A125147, A340510)
  262. Jeffrey Shallit, Arseny M. Shur, and Stefan Zorcic, New constructions for 3-free and 3+-free binary morphisms, arXiv:2310.15064 [math.CO], 2023. (A059448)
  263. Jeffrey Shallit, Lukas Spiegelhofer, Continuants, run lengths, and Barry's modified Pascal triangle, arXiv:1710.06203 [math.CO], 2017. (A114212, A119326)
  264. Jeffrey Shallit and Sonja Linghui Shan, A General Approach to Proving Properties of Fibonacci Representations via Automata Theory, arXiv:2309.02765 [cs.FL], 2023. See p. 228. (A000045)
  265. Jeffrey Shallit, Sonja Linghui Shan, and Kai Hsiang Yang, Automatic Sequences in Negative Bases and Proofs of Some Conjectures of Shevelev, arXiv:2208.06025 [cs.FL], 2022. (A268411, A268866, A269027, A269341)
  266. Jeffrey Shallit and Anatoly Zavyalov, Transduction of Automatic Sequences and Applications, arXiv:2303.15203 [cs.FL], 2023. (A005713, A035263, A123740, A255817, A359228)
  267. Michael Ian Shamos, Shamos’s Catalog of the Real Numbers, 2011.
  268. Arman Shamsgovara, Enumerating, Cataloguing and Classifying All Quantales on up to Nine Elements, In: Glück, R., Santocanale, L., and Winter, M. (eds), Relational and Algebraic Methods in Computer Science (RAMiCS 2023) Lecture Notes in Computer Science, Springer, Cham, Vol. 13896. doi:10.1007/978-3-031-28083-2_14 (A006966, A027851, A354493)
  269. Sonja Linghui Shan, Proving Properties of Fibonacci Representations via Automata Theory, Master's Thesis, Univ. Waterloo (Ontario, Canada, 2024). PDF (A000045)
  270. A. G. Shannon, Some recurrence relations for binary sequence matrices, NNTDM 17 (2011), 4, 913; http://www.nntdm.net/papers/nntdm-17/NNTDM-17-4-09-13.pdf
  271. A. G. Shannon, A note on generalized Leonardo numbers, Notes on Number Theory and Discrete Mathematics (2019) Vol. 25, No. 3, 97–101. doi:10.7546/nntdm.2019.25.3.97-101
  272. A. G. Shannon, Applications of Mollie Horadam's generalized integers to Fermatian and Fibonacci numbers, Notes on Number Theory and Discrete Mathematics (2019) Vol. 25, No. 2, 113-126. doi:10.7546/nntdm.2019.25.2.113-126
  273. Anthony G. Shannon, Ömür Deveci, Some variations on Fibonacci matrix graphs, Notes on Number Theory and Discrete Mathematics, Print ISSN 1310–5132, Online ISSN 2367–8275, Vol. 23, 2017, No. 4, 85–93 http://nntdm.net/papers/nntdm-23/NNTDM-23-4-85-93.pdf
  274. A. G. Shannon, J. V. Leyendekkers, The Golden Ratio family and the Binet equation, Notes on Number Theory and Discrete Mathematics, Vol. 21, 2015, No. 2, 35–42
  275. A. G. Shannon and J. V. Leyendekkers, "On Legendre’s Conjecture", Notes on Number Theory and Discrete Mathematics, Vol. 23, No. 2 (2017): 117-125. PDF
  276. Shannon, Anthony G., and Richard L. Ollerton. "A note on Ledin’s summation problem." The Fibonacci Quarterly (2021).
  277. Anthony Shannon, François Dubeau, Mine Uysal, and Engin Özkan, A Difference Equation Model of Infectious Disease, Int. J. Bioautomation (2022) Vol. 26, No. 4, 339-352. doi:10.7546/ijba.2022.26.4.000899 (A023435, A306276)
  278. Yulin Shao, Soung Chang Liew, Taotao Wang, AlphaSeq: Sequence Discovery with Deep Reinforcement Learning, arXiv:1810.01218 [cs.LG], 2018. (A000040)
  279. Daniel B. Shapiro, Divisibility Properties of Integer Sequences, arXiv:2302.02243 [math.NT], 2023. (A007318, A342889)
  280. Daniel B. Shapiro, Divisibility Properties for Integer Sequences, Integers (2023) Vol. 23, #A57. PDF (A342889)
  281. Lou Shapiro, Some Open Questions about Random Walks, Involutions, Limiting Distributions, and Generating Functions, Advances in Applied Mathematics, Volume 27, Issues 2-3, August 2001, Pages 585-596.
  282. Lou Shapiro, Some open questions about random walks, involutions, limiting distributions and generating functions. Special issue in honor of Dominique Foata's 65th birthday (Philadelphia, PA, 2000). Adv. in Appl. Math. 27 (2001), no. 2-3, 585-596.
  283. Shapiro, Louis W., Bijections and the Riordan group. Random generation of combinatorial objects and bijective combinatorics. Theoret. Comput. Sci. 307 (2003), no. 2, 403-413.
  284. L. W. Shapiro and A. B. Stephens, Bootstrap percolation, the Schroeder numbers and the N-kings problem, SIAM J. Discrete Math., Vol. 4 (1991), pp. 275-280.
  285. L. W. Shapiro, C. J. Wang, A bijection between 3-Motzkin paths and Schröder paths with no peak at odd height, JIS 12 (2009) 09.3.2
  286. L. W. Shapiro and C. J. Wang, Generating identities via 2 X 2 matrices, Congressus Numerantium, 205 (2010), 33-46.
  287. L. W. Shapiro, W.-J. Woan and S. Getu, Runs, slides and moments, SIAM J. Alg. Discrete Methods, 4 (1983), 459-466.
  288. Nathaniel Shar, Experimental methods in permutation patterns and bijective proof, PhD Dissertation, Mathematics Department, Rutgers University, May 2016; https://pdfs.semanticscholar.org/98e3/71b675789ed6ec4f9c9cd82e2dee9ca79399.pdf
  289. N. Shar, D. Zeilberger, The (Ordinary) Generating Functions Enumerating 123-Avoiding Words with r Occurrences of Each of 1, 2,..., n are Always Algebraic, arXiv preprint arXiv:1411.5052, 2014
  290. R. Sharafdini, T. Doslic, Hosoya index of splices, bridges and necklaces, 2015; http://www.researchgate.net/profile/Reza_Sharafdini/publication/272355505_Hosoya_index_of_splices_bridges_and_necklaces/links/54e2f9d10cf2966637980fa7.pdf
  291. Kirill S. Shardakov, Vladimir P. Bubnov, Stochastic Model of a High-Loaded Monitoring System of Data Transmission Network, Selected Papers of the Models and Methods of Information Systems, CEUR Workshop Proceedings, Research Workshop, (St. Petersburg, Russia, 2019), 29-34. PDF (A000332)
  292. John Shareshian and Sheila Sundaram, Ramanujan sums and rectangular power sums, arXiv:2305.12007 [math.CO], 2023. (A112329)
  293. R. Sharipov, Perfect cuboids and irreducible polynomials, Arxiv preprint arXiv:1108.5348, 2011
  294. R. Sharipov, A note on the first cuboid conjecture, Arxiv preprint arXiv:1109.2534, 2011
  295. R. Sharipov, A note on the second cuboid conjecture. Part I, Arxiv preprint arXiv:1201.1229, 2012
  296. Ruslan Sharipov, Perfect cuboids and multisymmetric polynomials, Arxiv preprint arXiv:1205.3135, 2012
  297. R. Sharipov, On an ideal of multisymmetric polynomials associated with perfect cuboids, arXiv:1206.6769, 2012
  298. R. Sharipov, On the equivalence of cuboid equations and their factor equations, arXiv:1207.2102, 2012
  299. R. Sharipov, A biquadratic Diophantine equation associated with perfect cuboids, Arxiv preprint arXiv:1207.4081, 2012
  300. R. Sharipov, On a pair of cubic equations associated with perfect cuboids, Arxiv preprint arXiv:1208.0308, 2012.
  301. R. Sharipov, On two elliptic curves associated with perfect cuboids, Arxiv preprint arXiv:1208.1227, 2012
  302. R. Sharipov, A note on solutions of the cuboid factor equations, Arxiv preprint arXiv:1209.0723, 2012
  303. R. Sharipov, A note on rational and elliptic curves associated with the cuboid factor equations, arXiv:1209.5706, 2012
  304. Ruslan Sharipov, Asymptotic estimates for roots of the cuboid characteristic equation in the linear region, preprint arXiv:1505.02745, 2015. (A031173, A031174, A031175)
  305. Ruslan Sharipov, Reverse asymptotic estimates for roots of the cuboid characteristic equation in the case of the second cuboid conjecture, preprint arXiv:1505.00724, 2015. (A031173, A031174, A031175 )
  306. Ruslan Sharipov, A note on invertible quadratic transformations of the real plane, arXiv preprint arXiv:1507.01861, 2015.
  307. Anubhav Sharma, Generalizing higher order Fibonacci sequence using linear algebra, Haverford College (2020). PDF (A000045, A000073, A000078, A001591, A001592, A066178)
  308. Debashish Sharma, Mausumi Sen, Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede, Special Matrices 6.1 (2018): 77-92. Special Issue on Linear Algebra and its Applications (ICLAA 2017). doi:10.1515/spma-2018-0008 (A278636)
  309. A. Sharov, R. M. Roth, New upper bounds for grain-correcting and grain-detecting codes, in Proc. Internat. Sympos. Information Theory (ISIT), 2014; http://www.cs.technion.ac.il/~sharov/Publications/ISIT-2014.pdf
  310. Mark Shattuck, "Bijective Proofs of Parity Theorems for Partition Statistics", J. Integer Sequences, Volume 8, 2005, Article 05.1.5.
  311. Mark A. Shattuck, Tiling proofs of some formulas for the Pell numbers of odd index, Integers, 9 (2009), 53-64.
  312. Mark A. Shattuck, Proofs of some binomial identities using the method of least squares, Fib. Q., 48 (2010), 290-297.
  313. Mark Shattuck, Convolution identities for Stirling numbers of the first kind via involution, INTEGERS, 12, 2012, #A59.
  314. M. Shattuck, Combinatorial proofs of determinant formulas for the Fibonacci and Lucas polynomials, Fib. Q., 51 (2013), 63-71.
  315. M. Shattuck, On the zeros of some polynomials with combinatorial coefficients, Annales Mathematicae et Informaticae, 42 (2013) pp. 93-101, http://ami.ektf.hu.
  316. M. Shattuck, Combinatorial proofs of some Bell number formulas, arXiv preprint arXiv:1401.6588, 2014
  317. M. Shattuck, Combinatorial Proofs of Some Formulas for Triangular Tilings, Journal of Integer Sequences, 17 (2014), #14.5.5.
  318. M. Shattuck, Combinatorial identities for incomplete tribonacci polynomials, arXiv preprint arXiv:1406.2755, 2014.
  319. M. Shattuck, Generalized r-Lah numbers, arXiv preprint arXiv:1412.8721, 2014
  320. Mark Shattuck, Combinatorial proofs of some Stirling number formulas, Preprint (ResearchGate), 2014.
  321. Mark Shattuck, Some combinatorial formulas for the partial r-Bell polynomials, Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 1, 63-76.
  322. Mark Shattuck, Identities for Generalized Whitney and Stirling Numbers, Journal of Integer Sequences, 2017, Vol. 20, #17.10.4.
  323. Mark Shattuck, Some formulas for the restricted r-Lah numbers, Annales Mathematicae et Informaticae (2018) 49, Eszterházy Károly University Institute of Mathematics and Informatics, 123-140. doi:10.33039/ami.2018.11.001 (A008297)
  324. Mark Shattuck, Combinatorial Proofs of Some Stirling Number Convolution Formulas, J. Int. Seq., Vol. 25 (2022), Article 22.2.2. HTML (A008275, A008277, A008297)
  325. Mark A. Shattuck and Carl G. Wagner, "Parity Theorems for Statistics on Lattice Paths and Laguerre Configurations", J. Integer Sequences, Volume 8, 2005, Article 05.5.1.
  326. Mark A. Shattuck and Carl G. Wagner, "Periodicity and Parity Theorems for a Statistic on r-Mino Arrangements", J. Integer Sequences, Volume 9, 2006, Article 06.3.6.
  327. Mark A. Shattuck and Carl G. Wagner, "Some Generalized Fibonacci Polynomials", J. Integer Sequences, Volume 10, 2007, Article 07.5.3.
  328. Yue-Feng She and Hai-Liang Wu, Sums of four squares with a certain restriction, Bull. of the Australian Math. Soc. (2021) First View, 1-10. doi:10.1017/S0004972720001501 (A300666)
  329. J. Parker Shectman, A quilt after Fibonacci, part 1 of 3: construction of the quilt, 2021. PDF
  330. J. Parker Shectman, A quilt after Fibonacci, part 2 of 3: cohorts, free monoids, and numeration, 2021. PDF
  331. J. Parker Shectman, A quilt after Fibonacci, part 3 of 3: interspersoid-dispersoid arrays and graphical complementarity, 2021. PDF
  332. Kennan Shelton and Michael Siler, Variations of a Coin-Removal Problem (2004), arXiv:math/0411052.
  333. Alexander Shelupanov, Oleg Evsyutin, Anton Konev, Evgeniy Kostyuchenko, Dmitry Kruchinin, Dmitry Nikiforov, Information Security Methods-Modern Research Directions, Symmetry (2019) Vol. 11, Issue 2, 150. doi:10.3390/sym11020150 (A001333)
  334. Zhizhang Shen, Ke Qiu and Eddie Cheng, On the surface area of the (n,k)-star graph, Theoretical Computer Science, 2009.
  335. Rick L. Shepherd, Binary quadratic forms and genus theory, Master of Arts Thesis, University of North Carolina at Greensboro, 2013; http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf
  336. Nicholas I. Shepherd-Barron, Asymptotic period relations for Jacobian elliptic surfaces, arXiv:1904.13344 [math.AG], 2019. (A000602)
  337. Michael A. Sherbon, "Fundamental Nature of the Fine-Structure Constant," International Journal of Physical Research, 3, 2 (1): 1-9 (2014).
  338. Michael A. Sherbon, "Fundamental Physics and the Fine-Structure Constant," International Journal of Physical Research, 5 (2): 46-48 (2017).
  339. Michael A. Sherbon, "Fine-Structure Constant from Golden Ratio Geometry," International Journal of Mathematics and Physical Sciences Research, 5 (2): 89-100 (2018). doi:10.2139/ssrn.3148761
  340. Vladimir Shevelev, A Conjecture on Primes and a Step towards Justification (2007), arXiv:0706.0786.
  341. Vladimir Shevelev, On the Basis Polynomials in the Theory of Permutations with Prescribed Up-Down Structure, arXiv:math.CO/0801.0072
  342. Vladimir Shevelev, On Connection between the Numbers of Permutations and Full Cycles with Some Restrictions on Positions and Up-Down Structure arXiv:math.CO/0803.2396
  343. Vladimir Shevelev, On Unique Additive Representations of Positive Integers and Some Close Problems (2008); arXiv:0811.0290
  344. Vladimir Shevelev, Process of "Primoverization" of Numbers of the Form a^n-1 (2008); arXiv:0807.2332
  345. Vladimir Shevelev, An Upper Estimate for the Overpseudoprime Counting Function (2008); arXiv:0807.1975
  346. Vladimir Shevelev, Overpseudoprimes, Mersenne Numbers and Wieferich primes (2008); arXiv:0806.3412
  347. Vladimir Shevelev, doi:10.4064/aa136-1-7, Exact exponent in the remainder terms fo Gelfond's digit theorem in the binary case, Acta Arith. 136 (2009) 91-100
  348. Vladimir Shevelev, Binary Additive Problems: Theorems of Landau and Hardy-Littlwood Type (2009) arXiv:0902.1046
  349. Vladimir Shevelev, Binary Additive Problems: Recursions for Numbers of Representations (2009) arXiv:0901.3102
  350. Vladimir Shevelev, On critical small intervals containing primes, arXiv:0908.2319 [math.NT]
  351. Vladimir Shevelev, The menage problem with a known mathematician, arXiv:1101.5321 [math.CO]
  352. Vladimir Shevelev, SPECTRUM OF PERMANENTS VALUES AND ITS EXTREMAL MAGNITUDES ..., Arxiv preprint arXiv:1104.4051, 2011.
  353. V. Shevelev, Combinatorial minors of matrix functions and their applications, Arxiv preprint arXiv:1105.3154, 2011
  354. Shevelev, Vladimir Binomial coefficient predictors. J. Integer Seq. 14 (2011), no. 2, Article 11.2.8, 8 pp.
  355. Vladimir Shevelev, Ramanujan and Labos Primes, Their Generalizations, and Classications of Primes, J. Integer Sequences, 15 (2012), #12.1.1.
  356. V. Shevelev, On Stephans conjectures concerning Pascla triangle modulo 2 and their polynomial generalization, arXiv:1011.6083 and [http://www.scientificadvances.co.in/abstract/3/91/542 J. Algebr, Number Theory 7 (1) (2012) 11-29.
  357. Vladimir Shevelev, The number of permutations with prescribed up-down structure as a function of two variables, INTEGERS, 12 (2012), #A1.
  358. Vladimir Shevelev, Representation of positive integers by the form x1...xk + x1 + ... + xk, arXiv:1508.03970, 2015
  359. Vladimir Shevelev, Representation of positive integers by the form x^3+y^3+z^3-3xyz, arXiv:1508.05748, 2015
  360. V. Shevelev, Exponentially S-numbers, preprint arXiv:1510.05914, 2015
  361. V. Shevelev, Set of all densities of exponentially S-numbers, arXiv preprint arXiv:1511.03860, 2015
  362. V Shevelev, A fast computation of density of exponentially S-numbers, arXiv preprint arXiv:1602.04244, 2016
  363. V Shevelev, Two analogs of Thue-Morse sequence, arXiv preprint arXiv:1603.04434, 2016
  364. Vladimir Shevelev, On Erdos's constant, arXiv preprint arXiv:1605.08884, 2016
  365. Vladimir Shevelev, S-exponential numbers, ACTA ARITHMETICA Online First version, 2016; doi:10.4064/aa8395-5-2016
  366. Vladimir Shevelev, Combinatorial identities generated by difference analogs of hyperbolic and trigonometric functions of order n, arXiv:1706.01454 [math.CO], June 2017.
  367. Vladimir Shevelev, On a Luschny question, arXiv:1708.08096, August 2017.
  368. Vladimir Shevelev, Gilberto Garcia-Pulgarin, Juan Miguel Velasquez-Soto and John H. Castillo, Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers, Arxiv preprint arXiv:1206.0606, 2012, J. Int. Seq. 15 (2012) #12.7.7
  369. V. Shevelev, C. R. Greathouse IV and P. J. C. Moses, On intervals (kn,(k+1)n) containing a prime for all n>1, arXiv:1212.2785, 2012; Journal of Integer Sequences, Vol. 16 (2013), Article 13.7.3.
  370. VLADIMIR SHEVELEV AND PETER J. C. MOSES, On a sequence of polynomials with hypothetically integer coefficients, arXiv:1112.5715, 2011; INTEGERS, 13 (2013), #A9.
  371. VLADIMIR SHEVELEV AND PETER J. C. MOSES, Tangent power sums and their applications, Arxiv preprint arXiv:1207.0404, 2012
  372. V. Shevelev and P. J. C. Moses, A family of digit functions with large periods, arXiv:1209.5705, 2012
  373. Vladimir Shevelev and PJC Moses, ALICE AND BOB GO TO DINNER: A VARIATION ON MENAGE, INTEGERS, 2016, Vol. 16, #A72.
  374. Arseniy (Senia) Sheydvasser, The Ulam Sequence of Linear Integer Polynomials, J. Int. Seq., Vol. 24 (2021), Article 21.10.8. HTML (A002858)
  375. Jessica Shi, Enumeration of unlabeled graph classes: A study of tree decompositions and related approaches, 2015, PDF
  376. Minjia Shi, XiaoXiao Li, and Patrick Solé, Designs, permutations, and transitive groups, arXiv:2105.07979 [math.CO], 2021. numbers Rencontres numbers
  377. Minjia Shi, Patrick Solé, The largest number of weights in cyclic codes, arXiv:1807.08418 [cs.IT], 2018. (A082116)
  378. Minjia Shi, Li Xu, Denis S. Krotov, The number of the non-full-rank Steiner triple systems. arXiv:1806.00009 [math.CO], 2018. (A002860, A030128, A036981)
  379. Minjia Shi, Zhongyi Zhang, Patrick Solé, Pisano period codes, arXiv:1709.04582 [cs.IT], 2017.
  380. Zheng Shi, Impurity entropy of junctions of multiple quantum wires, arXiv preprint arXiv:1602.00068, 2016
  381. Zheng Shi, I Affleck, A fermionic approach to tunneling through junctions of multiple quantum wires, arXiv preprint arXiv:1601.00510, 2016.
  382. Genki Shibukawa, New identities for some symmetric polynomials and their applications, arXiv:1907.00334 [math.CA], 2019. See also Fibonacci Quarterly (2020) Vol. 58, No. 5, 200-221. (A006053, A094649, A096975, A188021, A189234, A231181)
  383. Keiichi Shigechi, Noncommutative crossing partitions, arXiv:2211.10958 [math.CO], 2022. (A001263, A008292, A335845)
  384. Heesung Shin, Jiang Zeng, More bijections for Entringer and Arnold families, arXiv:2006.00507 [math.CO], 2020. (A000111)
  385. Kohei Shinohara, Atsuto Seko, Takashi Horiyama, Masakazu Ishihata, Junya Honda, Isao Tanaka, Enumeration of nonequivalent substitutional structures using advanced data structure of binary decision diagram, J. Chem. Phys. 153, 104109 (2020), doi:10.1063/5.0021663; see also the preprint under the title Derivative structure enumeration using binary decision diagram, arXiv:2002.12603 [physics.comp-ph], 2020. (A007764, A159842, A300783)
  386. Nobu C. Shirai and Naoyuki Sakumichi, Negative Energetic Elasticity of Lattice Polymer Chain in Solvent, arXiv:2202.12483 [cond-mat.soft], 2022. (A001412)
  387. S. A. Shirali, Case Studies in Experimental Mathematics, 2013; PDF
  388. Grzegorz Siudem, Agata Fronczak, Bell polynomials in the series expansions of the Ising model, arXiv:2007.16132 [math-ph], 2020. (A000262, A002890, A002894, A002898, A002893, A260784) The OEIS (Online Encyclopedia of Integer Sequences) has an invaluable impact on our work and because of that fact, we present below the table which gathers the most important sequences occur in the paper with their OEIS numbers.
  389. Ilya Shlyakhter, Generating effective symmetry-breaking predicates for search problems, Electronic Notes in Discrete Mathematics, Volume 9, June 2001, Pages 19-35.
  390. I. Shlyakhter, Generating effective symmetry-breaking predicates for search problems, Discrete Appl. Math. 155 (2007), no. 12, 1539-1548.
  391. Vladimir A. Shlyk, Number of Vertices of the Polytope of Integer Partitions and Factorization of the Partitioned Number. arXiv:1805.07989 [math.CO], 2018. (A002219, A108917, A203898, A300795)
  392. Z. Shomanov, Combinatorial formula for the partition function, arXiv:1508.03173 (2015)
  393. Taylor Short, The saturation number of carbon nanocones and nanotubes, arXiv:1807.11355 [math.CO], 2018. (A032765)
  394. Igor E. Shparlinski, "On the Sum of Iterations of the Euler Function", J. Integer Sequences, Volume 9, 2006, Article 06.1.6.
  395. I. Shpitser, R. J. Evans, T. S. Richardson, J. M. Robins, Introduction to nested Markov models, Behaviormetrika, Behaviormetrika Vol. 41, No. 1, 2014, 3-39.
  396. I. Shpitser, T. S. Richardson, J. M. Robins and R. Evans, Parameter and Structure Learning in Nested Markov Models, arXiv:1207.5058, 2012
  397. Punit Shrivastava, Exploring Jacobsthal and Jacobsthal-Lucas numbers on complex plane, American Journal of Mathematics and Mathematical Sciences, Volume 2, No. 1, January-June 2013, Pp. 87-90; http://www.academicresearchjournals.com/serialjournalmanager/pdf/1422441774.pdf
  398. Punit Shrivastava, Identities of Jacobsthal numbers using area of triangle, Alochana Chakra Journal (2020) Vol. IX, Issue V, 7070-7074. PDF (A001045, A014551)
  399. Jenan Shtayat and Ala'a Al-Kateeb, The Perrin R-matrix and more properties with an application, J. Disc. Math. Sci. and Crypt. (2021). doi:10.1080/09720529.2020.1866299
  400. D. Shtefan and I. Dobrovolska, The sums of the consecutive Fibonacci numbers, Fib. Q., 56 (2018), 229-236.
  401. Nikita A. Shulga, Diophantine properties of fixed points and derivative of iterations of Minkowski question mark function, Lomonosov Moscow State University, Möbius Contest 2020. PDF (A058914)
  402. Walter Shur, "Two Game-Set Inequalities", J. Integer Sequences, Volume 6, 2003, Article 03.4.1.
  403. Anton Shutov, Andrey Maleev, Coordination sequences and layer-by-layer growth of periodic structures, Zeitschrift für Kristallographie - Crystalline Materials (2018). doi:10.1515/zkri-2018-2144
  404. Anton Shutov, Andrey Maleev, Coordination sequences of 2-uniform graphs, Zeitschrift für Kristallographie - Crystalline Materials (2020) Vol. 235: Issue 4-5, 157–166. doi:10.1515/zkri-2020-0002
  405. Gilbert Strang, Recognitions, SIAM News 32:2 (March 1999) ["The numbers that came out were 4, 28, 232, 2092, 19864, . . . and we couldn't see a pattern. In desperation, we sent them to superseeker@research.att.com (now superseeker@oeis.org) ("a miracle program created by Neil Sloane")
  406. Irfan Siap and I. Aydoglu, Counting the generator matrices of Z_2 Z_8 codes, arXiv:1303.6985
  407. Sahar Siavashi, On the solutions of certain congruences, Master's Thesis, Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, 2017.
  408. Muhammad Khubab Siddique, Sequence and Series-I, Unit 8, Mathematics-II, Dept. of Sci. Ed., Allama Iqbal Open Univ. (Islamabad, Pakistan, 2020), 281-313. HTML (A005132)
  409. SV Sidorov and PA Shcherbakov, On the Period Length Modulo D of Sequences of Numerators and Denominators of Convergents for the Square Root of a Non-square D, Int'l Conf. Math. Modeling, Math. Modeling Supercomp. Tech. (MMST 2023) 28-43. doi:10.1007/978-3-031-52470-7_3 (A135735)
  410. M. Siebers and U. Schmid, Semi-analytic Natural Number Series Induction, in KI 2012: Advances in Artificial Intelligence, Lecture Notes in Computer Science Volume 7526, 2012, pp 249-252.
  411. Aaron N. Siegel, Mis\`ere canonical forms of partizan games (2007), arXiv:math/0703565.
  412. J. A. Siehler, The Finite Lamplighter Groups: A Guided Tour, College Mathematics Journal, Vol. 43, No. 3 (May 2012), pp. 203-211
  413. F. Sievers, G. M. Hughes, D. G. Higgins, Systematic Exploration of Guide-Tree Topology Effects for Small Protein Alignments, BMC Bioinformatics 2014, 15:338; http://www.biomedcentral.com/1471-2105/15/338
  414. Markus Sigg, On a conjecture of John Hoffman regarding sums of palindromic numbers, arXiv preprint arXiv:1510.07507, 2015
  415. Markus Sigg, Gasper's determinant theorem, revisited, arXiv:1804.02897 [math.CO], 2018. (A085000, A301370, A301371)
  416. Markus Sigg, A note on OEIS sequence A111384, arXiv:2309.14840 [math.CO], 2023. (A000292, A111384)
  417. Rémy Sigrist, The Kochawave curve, a variant of the Koch curve, arXiv:2210.17320 [math.HO], November 2022. (A335380, A335381)
  418. Rémy Sigrist, Nonperiodic tilings related to Stern's diatomic series and based on tiles decorated with elements of Fp, arXiv:2301.06039 [math.CO], 2023. (A002487, A355855)
  419. John K. Sikora, On the High Water Mark Convergents of Champernowne's Constant in Base Ten, arXiv:1210.1263, 2012
  420. J. K. Sikora, Analysis of the High Water Mark Convergents of Champernowne's Constant in Various Bases, arXiv preprint arXiv:1408.0261, 2014
  421. John K. Sikora, On Calculating the Coefficients of a Polynomial Generated Sequence Using the Worpitzky Number Triangles. arXiv:1806.00887 [math.NT], 2018. (A000629, A005460, A008277, A019538, A028246, A130850)
  422. Jean-Louis Sikorav, Best rational approximations of an irrational number, arXiv:1807.06284 [math.NT], 2018. (A063674)
  423. Joshua M. Siktar, General identities for Horadam sequences, (2020). ">General identities for Horadam sequences Abstract
  424. Tomi Silander, Janne Leppä-aho, Elias Jääsaari, Teemu Roos, Quotient Normalized Maximum Likelihood Criterion for Learning Bayesian Network Structures, International Conference on Artificial Intelligence and Statistics, 2018. PDF (A000262)
  425. Andrew V. Sills, Integer Partitions Probability Distributions, arXiv:1912.05306 [math.CO], 2019. (A322384)
  426. A. V. Sills and H. Wang, On the maximal Wiener index and related questions, Discrete Applied Mathematics, Volume 160, Issues 10-11, July 2012, Pages 1615-1623.
  427. Andrew V. Sills, Robert Schneider, The product of parts or "norm" of a partition, arXiv:1904.08004 [math.NT], 2019. Also in Integers (2020) Vol. 20A, Article #A13. (A000792, A034893) PDF but instead under Schneider.
  428. Alexandre Silva, Carlos Pereira dos Santos, João Pedro Neto, and Richard J. Nowakowski, Disjunctive sums of quasi-nimbers, Theor. Comp. Sci. (2022). doi:10.1016/j.tcs.2022.12.015 (A066998)
  429. Clayton Cristiano Silva, Irreducible Numerical Semigroups, University of Campinas, São Paulo, Brazil (2019). PDF (A058129, A124506, A158206, A158278, A158279)
  430. Jannik Silvanus, Improved Cardinality Bounds for Rectangle Packing Representations, Doctoral Dissertation, University of Bonn (Rheinische Friedrich Wilhelms Universität, Germany 2019). PDF (A001181, A117106, A214358)
  431. Jannik Silvanus, Jens Vygen, Few Sequence Pairs Suffice: Representing All Rectangle Placements, arXiv:1708.09779 [math.CO], 2017. ["The authors are thankful to the On-Line Encyclopedia of Integer Sequences [12], which drew their attention to plane permutations."]
  432. Tim Silverman, Counting Cliques in Finite Distant Graphs, arXiv preprint arXiv:1612.08085, 2016
  433. J. R. Silvester, Factorial Factors, Maths. Gazette 88 (2004) 119-123.
  434. R. Simion, Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations, The Electronic Journal of Combinatorics, Volume 7(1), 2000, R#9.
  435. Michael Simkin, <a href="https://arxiv.org/abs/2107.13460">The number of n-queens configurations</a>, arXiv:2107.13460 [math.CO], 2021.
  436. Christopher-Lloyd Simon, Topologie et dénombrement des courbes algébriques réelles singulières, arXiv:2106.15450 [math.AG], 2021. (In French. Topology and enumeration of real singular algebraic curves) (A277869)
  437. Frank Simon, Algebraic Methods for Computing the Reliability of Networks, Dissertation, Doctor Rerum Naturalium (Dr. rer. nat.), Fakultät Mathematik und Naturwissenschaften der Technischen Universität Dresden, http://www.qucosa.de/fileadmin/data/qucosa/documents/10115/DissertationFrankSimon.pdf, 2012.
  438. Gianluca Simonetto, Chaos and universality in non-linear dynamics: the logistic map, Bachelor’s thesis, Univ. Padova (Italy, 2023, in Italian). PDF (A006890)
  439. John L. Simons, Cycles and divergent trajectories for a class of permutation sequences, arXiv:2205.10582 [math.NT], 2022. (A217218)
  440. Carlos Simpson, Learning proofs for the classification of nilpotent semigroups, arXiv:2106.03015 [cs.LG], 2021. (A028657)
  441. Jamie Simpson, Modified Padovan words and the maximum number of runs in a word, Australasian J. Combinat. xx (2009).
  442. Joseph J. Simpson, Mary J. Simpson, Technical Report, SC-TR-00031 Ontology as a System, System Concepts LLC (2019). doi:10.13140/RG.2.2.19493.45281
  443. T. Simpson, Permutations with unique fixed and reflected points. Ars Combin. 39 (1995), 97-108.
  444. Yilmaz Simsek, Derivation of Computational Formulas for certain class of finite sums: Approach to Generating functions arising from p-adic integrals and special functions, arXiv:2108.10756 [math.NT], 2021. (A025529)
  445. A. K. Singh, A. Das and A. Kumar, RAPIDITAS: RAPId Design-space-exploration Incorporating Trace-based Analysis and Simulation, 2013; http://www.ece.nus.edu.sg/stfpage/eleak/pdf/dsd-2013-amit.pdf
  446. Amit Kumar Singh, Akash Kumar and Thambipillai Srikanthan, Accelerating Throughput-aware Run-time Mapping for Heterogeneous MPSoCs, ACM Transactions on Design Automation of Electronic Systems, 2012, http://www.ece.nus.edu.sg/stfpage/eleak/pdf/akumar_todaes_2012.pdf.
  447. A. K. Singh, A. Kumar, J. Wu and T. Srikanthan, CADSE: communication aware design space exploration for efficient run-time MPSoC management, Frontiers of Computer Science, Volume 7, Issue 3 , pp. 416-430.
  448. Hansveer Singh, Brayden Ware, Romain Vasseur, and Aaron J. Friedman, Subdiffusion and many-body quantum chaos with kinetic constraints, arXiv:2108.02205 [cond-mat.stat-mech], 2021.
  449. Singh, Jitender, On an Arithmetic Convolution, J. Int. Seq. 17 (2014) # 14.6.7.
  450. Satvik Singh, Can entanglement hide behind triangle-free graphs?, arXiv:2010.11891 [quant-ph], 2020. (A000055, A024607)
  451. Satvik Singh, Entanglement detection in triangle-free quantum states, Phys. Rev. A (2021) Vol. 103, 032436. doi:10.1103/PhysRevA.103.032436
  452. Shobhna Singh and Felix Flicker, Exact Solution to the Quantum and Classical Dimer Models on the Spectre Aperiodic Monotiling, arXiv:2309.14447 [cond-mat.str-el], 2023. (A001090)
  453. John R. Singler, Transition to turbulence, small disturbances, and sensitivity analysis II: The NavierStokes equations, Journal of Mathematical Analysis and Applications, Volume 337, Issue 2, 15 January 2008, Pages 1442-1456.
  454. D. Singmaster, Triangles with integer sides and sharing barrels, College Math. J. 21 (1990) 278-285.
  455. Márton Sipos, Josh Gahm, Narayan Venkat, Dave Oran, Network-Aware Feasible Repairs for Erasure-Coded Storage, IEEE/ACM Transactions on Networking (2018) Vol. 26, Issue 3, 1404-1417. doi:10.1109/TNET.2018.2830800
  456. Márton Ákos Sipos, Narayan Venkat, Joshua Bernard Gahm, John George Apostolopoulos, Efficient repair of erasure coded data based on coefficient matrix decomposition, US Patent #US20180121286A1, Cisco Technology Inc, 2016. HTML (A000041)
  457. G. Siudem, A. Fronczak, P. Fronczak, Exact low-temperature series expansion for the partition function of the two-dimensional zero-field s= 1/2 Ising model on the infinite square lattice, arXiv preprint arXiv:1410.7963, 2014
  458. G Siudem, A Fronczak, P Fronczak, Exact low-temperature series expansion for the partition function of the zero-field Ising model on the infinite square lattice, Scientific Reports, 6, 2016, Article number: 33523; doi:10.1038/srep33523
  459. Aditya Sivakumar, Dmitri Tymoczko, Intuitive Musical Homotopy, 2018. PDF (A005893)
  460. B. Sivakumar and V. James, A Notes (sic) on Matrix Sequence of Pentanacci Numbers and Pentanacci Cubes, Communications in Mathematics and Applications (2022) Vol. 13, Iss. 2, 603-611. doi:10.26713/cma.v13i2.1725 (A001591)
  461. R. Sivaraman, Generalized Narayana sequences and quadratic sequences, Advances in Mathematics: Scientific Journal (2020), Vol. 9, No.7, 5143–5149. doi:10.37418/amsj.9.7.81
  462. R. Sivaraman, Generalized Narayana sequences and figurate numbers, Advances in Mathematics: Scientific Journal (2020) Vol. 9, No. 10, 7977–7984. doi:10.37418/amsj.9.10.32 (A001263)
  463. R. Sivaraman, José Luis López-Bonilla, and Sergio Vidal-Beltrán, On the Polynomial Structure of rk(n), Indian J. Adv. Math. (2023) Vol. 3, Iss. 2, A1162044124. doi:10.54105/ijam.A1162.103223 (A002131, A186690)
  464. S. Sivasubramanian, Signed Excedance Enumeration in the Hyperoctahedral group, El. J. Combinat. 21 (2) (2014) # P2.10
  465. J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, "Extended Bell and Stirling Numbers From Hypergeometric Exponentiation", J. Integer Sequences, Volume 4, 2001, Article 01.1.4.
  466. Jonas Sjostrand, Bruhat intervals as rooks on skew Ferrers boards (2006), arXiv:math/0601615.
  467. Matthew Skala, Graph Nimors, arXiv preprint arXiv:1604.04072, 2016
  468. M. B. Skopenkov, A. A. Pakharev, A. V. Ustinov, Through the resistors network, Mat. Pros. Ser. 3, issue 18, 2014 (33–65) [in Russian].
  469. Z. Skupien, Sums of Powered Characteristic Roots Count Distance-Independent Circular Sets, Discussiones Mathematicae Graph Theory. Volume 33, Issue 1, Pages 217-229, ISSN (Print) 2083-5892, doi:10.7151/dmgt.1658, April 2013.
  470. Z. Skupien, A. Zak, Pair-sums packing and rainbow cliques, in TOPICS IN GRAPH THEORY, A tribute to A. A. and T. E. Zykovs on the occasion of A. A. Zykov's 90th birthday, ed. R. Tyshkevich, Univ. Illinois, 2013, pages 131-144; http://www.math.uiuc.edu/~kostochk/Zykov90-Topics_in_Graph_Theory.pdf

About this page

  • This is part of the series of OEIS Wiki pages that list works citing the OEIS.
  • Additions to these pages are welcomed.
  • But if you add anything to these pages, please be very careful — remember that this is a scientific database. Spell authors' names, titles of papers, journal names, volume and page numbers, etc., carefully, and preserve the alphabetical ordering.
  • If you are unclear about what to do, contact one of the Editors-in-Chief before proceeding.
  • Works are arranged in alphabetical order by author's last name.
  • Works with the same set of authors are arranged by date, starting with the oldest.
  • The full list of sections is: A Ba Bi Ca Ci D E F G H I J K L M N O P Q R Sa Sl T U V W X Y Z.
  • For further information, see the main page for Works Citing OEIS.
Retrieved from "https://oeis.org/w/index.php?title=CiteSa&oldid=1659241"