CiteSa

"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 [email protected] (now [email protected]) (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]

"Thanks for running OEIS - its an amazing resource and gift to humanity." [CJS, an English secondary school teacher, 2025]

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References

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)
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
Mohamed Sabba, A quantum Pascal pyramid and an extended de Moivre-Laplace theorem, arXiv:2404.03560 [quant-ph], 2024. See pp. 1-2. (A268533)
Hicham Saber, Tariq Alraqad, Akbar Ali, Abdulaziz M. Alanazi, and Zahid Raza, On a Conjecture Concerning the Complementary Second Zagreb Index, arXiv:2501.01295 [math.CO], 2025.
Ahmad Sabri and Vincent Vajnovszki, More restricted growth functions: Gray codes and exhaustive generations, arXiv:1703.05856 [math.CO], 2017.
Ahmad Sabri, Vincent Vajnovszki, Exhaustive generation for ballot sequences in lexicographic and Gray code order, 2018. PDF (A000085)
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)
Cihan Sabuncu, Right-angled triangles with almost prime hypotenuse, arXiv:2401.16334 [math.NT], 2024. (A281505)
R. Sachdeva and A.K. Agarwal, Combinatorics of certain restricted n-color composition functions, Discrete Mathematics, 340, (2017), 361-372.
Andrew Sack, Lattices from Pointed Building Sets: Generalized Ornamentation Lattices, arXiv:2602.06004 [math.CO], 2026. See p. 6. (A000798, A006455)
J. Sack and H. Ulfarsson, Refined inversion statistics on permutations, Arxiv preprint arXiv:1106.1995, 2011.
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
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
Yaniv Sadeh, Ori Rottenstreich, and Haim Kaplan, Codes for Load Balancing in TCAMs: Size Analysis, arXiv:2212.13256 [cs.NI], 2022. (A007302)
Markus Saers, Dekai Wu and Chris Quirk, On the Expressivity of Linear Transductions, PDF.
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.
Bruce E. Sagan, Congruences via abelian groups, Journal of Number Theory, Volume 20, Issue 2, April 1985, Pages 210-237.
Bruce Sagan, Proper partitions of a polygon and k-Catalan numbers (2004), arXiv:math/0407280 and Ars. Comb. 88 (2008) 109-124.
Bruce E. Sagan and Joshua P. Swanson, q-Stirling numbers in type B, arXiv:2205.14078 [math.CO], 2022. (A008275, A008277, A028338, A039755, A050176)
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)
The Sage Development Team, Graph Theory (Various families of graphs), Sage 9.2 Reference Manual (2020). HTML (A000055)
Ádám Sagmeister and Konrad J. Swanepoel, Penny graphs in the hyperbolic plane, arXiv:2512.24832 [math.CO], 2025. See p. 6. (A001354)
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
Satvik Saha, Sohom Gupta, Sayan Dutta, and Sourin Chatterjee, Characterising Solutions of Anomalous Cancellation, arXiv:2302.00479 [math.HO], 2023.
Bünyamin Şahin, Level Polynomials of Rooted Trees, 2023. doi:10.20944/preprints202312.0902.v1 (A000914, A002620, A067056)
Murat Sahin and Elif Tan, Conditional (strong) divisibility sequences, Fib. Q., 56 (No. 1, 2018), 18-31.
Hanno Sahlmann, Entropy calculation for a toy black hole (2007), arXiv:0709.0076.
Soumyadip Sahu, On Certain Reciprocal Sums, arXiv:1807.05454 [math.NT], 2018. (A248230, A248234)
M. K. Sahukar and G. K. Panda, Repdigits in Euler functions of Pell numbers, Fib. Q., 57 (No. 2, 2019), 134-138.
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
Anthony Saint-Criq, What is so exotic about dimension four?, Univ. de Toulouse (France 2022). PDF (A001676)
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
Raazesh Sainudiin, Statistical Regular Pavings in Bayesian Nonparametric Density Estimation, 2014; http://archytas.birs.ca/workshops/2014/14w5125/files/Sainudiin.pdf
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
R Sainudiin, A Veber, A Beta-splitting model for evolutionary trees, arXiv preprint arXiv:1511.08828, 2015
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
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.
S. M. Nazmuz Sakib, 2-adic Twist Determinant Theorem for Weighted GCD Matrices: Introducing the Sakib Index and a Parity-Twisted Smith-Type Factorization, Cambridge Open Engage (2025). doi:10.33774/coe-2025-20lgq (A000010, A001088)
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
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)
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.
Ana Sălăgean, Ferruh Özbudak, Counting Boolean functions with faster points, Designs, Codes and Cryptography (2020). doi:10.1007/s10623-020-00738-7 (A316554)
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)
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.
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
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
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.
Flavio Salizzoni, Luca Sodomaco, and Julian Weigert, Nonlinear Rayleigh quotient optimization, arXiv:2510.17760 [math.AG], 2025. See p. 15. (A016269)
Ville Salo, Decidability and Universality of Quasiminimal Subshifts, arXiv preprint arXiv:1411.6644, 2014.
Ville Salo, Universal gates with wires in a row, arXiv:1809.08050 [math.GR], 2018. (A000031)
Ville Salo, Subshifts with sparse traces, University of Turki, Finland (2019). PDF (A055979)
Ville Salo, Cutting Corners, arXiv:2002.08730 [math.DS], 2020. (A295928)
D. Salomon, Variable-length Codes for Data Compression, Springer-Verlag.
D. Salomon, G. Motta, doi:10.1007/978-1-84882-903-9, Handbook of data compression, Springer, 2010.
V. Salov, Inevitable Dottie Number. Iterals of cosine and sine, arXiv:1212.1027, 2012
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.
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.
Rafaele Salvia, A catalogue of matchstick graphs, arXiv:1303.5965
Ivano Salvo, Agnese Pacifico, Computing Integer Sequences: Filtering vs Generation (Functional Pearl), arXiv:1807.11792 [cs.PL], 2018. (A002858, A033629)
B. Salvy, Automatic Asymptotics and Generating Functions, Algorithms seminar, 1992-1993, INRIA Research Report #2130, 47-50. (Ps, Pdf)
B. Salvy, Découverte de récurrences
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.
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.
B. Sambale, Pseudo-Sylow numbers, Amer. Math. Monthly 126 (2019), 60-65.
Benjamin Sambale, On a theorem of Ledermann and Neumann, arXiv:1909.13220 [math.GR], 2019. (A137315)
Samieinia, Shiva, The number of Khalimsky-continuous functions on intervals. Rocky Mountain J. Math. 40 (2010), no. 5, 1667-1687.
S. Samieinia, doi:10.4171/PM/1858, The number of continuous curves in digital geometry, Port. Mathem. 67 (1) (2010) 75-89
M. J. Samuel, Word posets, with applications to Coxeter groups, Arxiv preprint arXiv:1108.3638, 2011.
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)
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
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.
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.
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
V. Sangeetha, T. Anupreethi, and S. Manju Somanath, Ramanujan Primes and Negative Pell's Equation, Optimality (2025) Vol. 2, No. 4, 271-279. See p. 272. Abstract doi:10.22105/opt.v2i4.92 (A031396)
Maya Sankar, Further Bijections to Pattern-Avoiding Valid Hook Configurations, arXiv:1910.08895 [math.CO], 2019. (A005700, A005789, A151347)
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.
G. K. Sankaran, A supersingular coincidence, arXiv:2009.11379 [math.NT], 2020. (A002267)
David Sankoff and Lani Haque, Power Boosts for Cluster Tests, in Comparative Genomics, Lecture Notes in Computer Science, Volume 3678/2005, Springer-Verlag.
C. Sanna, On Arithmetic Progressions of Integers with a Distinct Sum of Digits, Journal of Integer Sequences, Vol. 15 (2012), #12.8.1.
Carlo Sanna, On the number of distinct exponents in the prime factorization of an integer, arXiv:1902.09224 [math.NT], 2019. (A071625, A130091)
Noriaki Sannomiya, H Katsura, Y Nakayama, Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion, arXiv preprint arXiv:1612.02285, 2016.
Kaoru Sano, Rectangulations avoiding a pattern, arXiv:2511.22015 [math.CO], 2025. (A001181)
Joseph M. Santmyer, A stirling like sequence of rational numbers, Discrete Mathematics, Volume 171, Issues 1-3, 20 June 1997, Pages 229-235.
Joe Santmyer, Derivative Polynomials for Trigonometric and Hyperbolic Functions, Arhimede Math. J. (2023) Vol. 10, No. 2, 152-158. PDF (A000364, A028296)
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...
Santocanale, Luigi; Wehrung, Friedrich The extended permutohedron on a transitive binary relation. European J. Combin. 42 (2014), 179-206.
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
Paolo Santonastaso and Ferdinando Zullo, Linearized trinomials with maximum kernel, arXiv:2012.14861 [math.NT], 2020. (A053182, A066100)
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
Douglas Catulio Santos, Eudes Antonio Costa, and Paula M. M. C. Catarino, On Gersenne Sequence: A Study of One Family in the Horadam-Type Sequence, Axioms (2025) Vol. 14, No. 3, 203. doi:10.3390/axioms14030203 (A000051, A000225)
E. G. Santos, Counting non-attacking chess pieces placements: Bishops and Anassas, arXiv:2411.16492 [math.CO], 2024. (A008277, A008299, A132393, A134991)
Francisco Santos, Christian Stump, Volkmar Welker, Noncrossing sets and a Grassmann associahedron, Forum of Mathematics, Sigma, 5 (2017), e5. DOI: http://dx.doi.org/10.1017/fms.2017.1; also in FPSAC 2014, Chicago, USA; Discrete Mathematics and Theoretical Computer Science (DMTCS) Proceedings, 2014, 609-620; arXiv preprint arXiv:1403.8133, 2014.
Yudi Santoso, Mining Small Subgraphs in Massive Graphs, Ph. D. Dissertation, Univ. Victoria (BC, Canada, 2023). See p. 22. PDF (A001349)
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
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
Raman Sanyal, Axel Werner, Günter M. Ziegler, On Kalai's conjectures concerning centrally symmetric polytopes (2007), arXiv:0708.3661.
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.
Sapounakis, A.; Tasoulas, I.; Tsikouras, P. Ordered trees and the inorder traversal. Discrete Math. 306 (2006), no. 15, 1732-1741.
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.
A. Sapounakis, I. Tasoulas and P. Tsikouras, Counting strings in Dyck paths, Discrete Math., 307 (2007), 2909-2924.
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.
A. Sapounakis and P. Tsikouras, "On k-colored Motzkin words", J. Integer Sequences, Volume 7, 2004, Article 04.2.5.
Sapounakis, A.; Tsikouras, P. Counting peaks and valleys in k-colored Motzkin paths. Electron. J. Combin. 12 (2005), Research Paper 16, 20 pp.
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.
Vrajlal Sapovadia, Proximity to Primes in Sums of Skipped Odd Primes: An Empirical Study of p_n + p_n+2 ±1 Primality, ResearchGate (2026).
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.
Arya Saranathan, Quasigeodesic languages are not context-free in some non-hyperbolic groups, arXiv:2601.12520 [math.GR], 2026. See p. 11. (A061419)
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
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
Jyotirmoy Sarkar, Counting Candy Sequences: An Enumeration Problem, Resonance (2023) Vol. 28, 719-735. doi:10.1007/s12045-023-1601-9
Rahul Sarkar, Ewout van den Berg, On sets of commuting and anticommuting Paulis, arXiv:1909.08123 [quant-ph], 2019. (A128036)
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
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
Sebastian Sassi, Aula Al-Adulrazzaq, Matti Heikinheimo, and Kimmo Tuominen, Fast numerical evaluation of dark matter direct detection event rates, arXiv:2504.19714 [hep-ph], 2025. See p. 7. (A002623)
Ulrike Sattler, Decidable classes of formal power series with nice closure properties, Diplomarbeit im Fach Informatik, Univ. Erlangen - Nuernberg, Jul 27 1994.
Pratik Saturi, Back to society, Masters thesis, Unitec Institute of Technology (New Zealand, 2019). PDF (A000045)
Sumit Satyam and Rahul Nath, Optimal Cooling System Layout Identification for EV Components: Paper No. 2024-GI-01, ARAI J. Mobility Tech. (2024) Vol. 4, No. 3. doi:10.37285/ajmt.4.3.1 (A000084)
J. Sauerberg and L. Shu, The long and the short on counting sequences, Amer. Math. Monthly 104 (1997), no. 4, 306-317.
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)
Arnold Saunders, A Class of Random Recursive Tree Algorithms with Deletion, arXiv:1906.02720 [math.PR], 2019. (A001405)
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
Lorenzo Sauras-Altuzarra, Some arithmetical problems that are obtained by analyzing proofs and infinite graphs, arXiv:2002.03075 [math.NT], 2020. (A055089, A253317)
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)
Savage, Carla D. Generating permutations with k-differences. SIAM J. Discrete Math. 3 (1990), no. 4, 561--573. MR1069115 (92c:05003)
Carla D. Savage and Gopal Viswanathan, The 1/k-Eulerian Polynomials, Electr. J. Combinatorics, 19 (2012), #P9.
Carla D. Savage and Herbert S. Wilf, Pattern avoidance in compositions and multiset permutations (2005), arXiv:math/0504310.
Diana Savin and Elif Tan, On bi-periodic Padovan and Perrin quaternions over finite fields, arXiv:2602.07894 [math.NT], 2026. (A000931, A001608)
S. Savitz and M. Bintz, Exceptional Lattice Green's Functions, arXiv:1710.10260 [math-ph], 2017.
Joe Sawada, A simple Gray code to list all minimal signed binary representations. SIAM J. Discrete Math. 21 (2007), no. 1, 16-25 .
Joe Sawada and Daniel Gabrić, Random generation of universal cycles and de Bruijn sequences, arXiv:2510.16545 [cs.DM], 2025. (A000670)
Joe Sawada and Roy Li, Stamp Foldings, Semi-Meanders, and Open Meanders: Fast Generation Algorithms, Electr. J. Combinatorics, 19 (2012), #P43.
Joe Sawada and A. Williams, Efficient oracles for generating binary bubble languages. Electron. J. Combin. 19 (2012), no. 1, Paper 42, 20 pp.
Joe Sawada and A. Williams, Successor rules for flipping pancakes and burnt pancakes, Preprint 2015; http://www.cis.uoguelph.ca/~sawada/papers/pancake_successor.pdf
Joe Sawada and 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.
Nitin Saxena, Simone Severini, Igor Shparlinski, Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics (2007), arXiv:quant-ph/0703236.
Robert I. Saye, On two conjectures concerning the ternary digits of powers of two, arXiv:2202.13256 [math.NT], 2022. (A351927, A351928)
Artur Schaefer, Endomorphisms of The Hamming Graph and Related Graphs, arXiv preprint arXiv:1602.02186, 2016.
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Jeffrey Shallit, Synchronized Sequences, Proc. WORDS 2021, LCNS 12847 pp 1-19 (2021) doi:10.1007/978-3-030-85088-3_1
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