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"This note could not have been written without the valuable help of the OEIS." [Octavio Alberto Agustín Aquino, 2016]

"... we acknowledge that the On-line Encyclopedia of Integer Sequences has been of great help in this project." [Per Alexandersson et al., 2019]

"Finally, we would like to thank Prof. N.J.A. Sloane in particular since this work would not be possible without OEIS." [Alkan and Aybar, 2020]

"After compiling the results of many explicit computations, we noticed that many of the numbers d_{n,r,S} appear in the existing literature in contexts far removed from the enumerative geometry of rank conditions; we owe this surprising (to us) observation to perusal of [Slo14]." [ P. Aluffi, 2014]

"Remarkably, this exhaustive enumeration leads us exactly to the integer sequence A001792 of The On-Line Encyclopedia of Integer Sequences... ." [Milica Andelic et al., 2016]

"Very important to the results in this paper were the search sites KnotInfo by Cha and Livingston [CL11] and The On-Line Encyclopedia of Integer Sequences by Sloane [Slo11]." [Cody Armond and Oliver T. Dasbach, 2011]

"Using the results of these computer searches in the Online Encyclopedia of Integer Sequences, we discovered that this problem, when played on the square grid, is equivalent to several other known problems." [Boris Aronov et al., 2017]

"Something which is rarely mentioned is the value of OEIS as a very comprehensive source of references to mathematical papers--probably the best there is." [Email from a user of the OEIS, Jan 24 2021]

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  • This section lists works in which the first author's name begins with A.
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References

  1. Frank a Campo, Relations between powers of Dedekind Numbers and exponential sums related to them, J. Int. Seq. 21 (2018) 18.4.4. Abstract
  2. Frank a Campo, A Flexible Approach for the Enumeration of Down-Sets and its Application on Dedekind Numbers, arXiv:2206.10293 [math.CO], 2022. (A000372)
  3. Lambert A'Campo, Every 7-Dimensional Abelian Variety over the p-adic Numbers has a Reducible -adic Galois Representation, arXiv:2006.06737 [math.NT], 2020. (A005277, A053176)
  4. Norbert A'Campo, Signatures of monic polynomials, arXiv:1702.05885 [math.AG], 2017. ["A search in the On-line Encyclopedia of Integral Sequences ... identifies this sequence with the sequence A002293 and shows to us many interesting interpretations."]
  5. Dennis Aanstoot, Graph rewriters as components, Univ. of Twente (Netherlands, 2022). PDF (A212693)
  6. Erik Aas, Arvind Ayyer, Svante Linusson, Samu Potka, The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps, arXiv:1902.02019 [cond-mat.stat-mech], 2019. (A000108, A009766)
  7. E. Aas and S. Linusson, Continuous multiline queues and TASEP, 2014; PDF
  8. J. Abate and W. O. Whitt, Explicit M/G/1 Waiting-Time Distributions for a Class of Long-Tail Service-Time Distributions. Operations Research Letters, vol. 25, No. 1, August 1999, pp. 25-31. (PostScript, PDF).
  9. J. Abate, W. Whitt, Integer Sequences from Queueing Theory, J. Int. Seq. 13 (2010), 10.5.5.
  10. Abate, Joseph; Whitt, Ward Brownian motion and the generalized Catalan numbers. J. Integer Seq. 14 (2011), no. 2, Article 11.2.6, 15 pp.
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  13. Y Abdelaziz, JM Maillard, Modular forms, Schwarzian conditions, and symmetries of differential equations in physics, arXiv preprint arXiv:1611.08493, 2016.
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  18. Ulrich Abel and Vitaliy Kushnirevych, Sinc integrals revisited, Mathematische Semesterberichte (2023). Abstract (A049330, A049331)
  19. Z. Abel, E. Demaine, M. Demaine, H. Matsui and G. Rote, Common Developments of Several Different Orthogonal Boxes, PDF
  20. Ali Aberkane, James D. Currie and Narad Rampersad, "The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially", J. Integer Sequences, Volume 7, 2004, Article 04.2.7.
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  24. Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52 (2011), no. 10, 102301, 52 pp.
  25. Mark Abspoel, Sakina Asadova, Frank Blom, Niek J. Bouman, Tore Kasper Frederiksen, Paul Koster, Berry Schoenmakers, Meilof Veeningen, Nikolaj Volgushev, Niels de Vreede, D2.2 Application-Oriented MPC Protocols, Scalable Oblivious Data Analytics, 2018. PDF (A002223)
  26. A. Aboud, J.-P. Bultel, A. Chouria, J.-G. Luque, O. Mallet, Bell polynomials in combinatorial Hopf algebras, arXiv preprint arXiv:1402.2960, 2014.
  27. Antoine Abram, Yining Hu, and Shuo Li, Block-counting sequences are not purely morphic, arXiv:2304.14595 [math.CO], 2023. (A008277)
  28. S. Abramovich, Revisiting mathematical problem solving and posing in the digital era: toward pedagogically sound uses of modern technology, International Journal of Mathematical Education in Science and Technology, 2014; doi:10.1080/0020739X.2014.902134
  29. Sergei Abramovich, Educating teachers to pose mathematical problems in the digital age: toward alternative ways of curriculum design, Open Mathematical Education Notes, Vol. 5 (2015), 115-136.
  30. Sergei Abramovich, Combinatorics of the Triangle Inequality: From Straws to Experimental Mathematics for Teachers, Spreadsheets in Education (eJSiE), Vol. 9, Issue 1, Article 1, 2016.
  31. Sergei Abramovich, Technology and the Development of Mathematical Creativity in Advanced School Mathematics, Creativity and Technology in Mathematics Education (2018), Mathematics Education in the Digital Era, Vol. 10, Springer, Cham, 371-398. doi:10.1007/978-3-319-72381-5_15 (see page 371)
  32. Sergei Abramovich, Technology-immune/technology-enabled mathematical problem solving as instrumental genesis, Open Mathematical Education Notes (2019) Vol. 9, 23-54. doi:10.7251/OMEN1901023A (seq) Likewise, the Online Encyclopedia of Integer Sequences (OEIS®) as an artifact offers, among many other things, the continuation of the first few terms in the form 1, 1, 2, 3, 5, 8, 13, 39, 124, ... interpreting each term as the sum of the preceding two terms with the digits reversed. This unexpected interpretation by OEIS® might turn an artifact into an instrument if one realizes that 39 = 31 + 8 and 124 = 93 + 31.
  33. Sergei Abramovich, Michael L. Connell, Developing Deep Knowledge in Middle School Mathematics: A Textbook for Teaching in the Age of Technology, Springer Texts in Education (2021). See pp. 16, 290, 309, 313, 320, 337. doi:10.1007/978-3-030-68564-5 In this textbook, the authors will offer the selection of the following digital (computational and/or informational) tools: an electronic spreadsheet, computational knowledge engine Wolfram Alpha, The Geometer's sketchpad, The Graphing Calculator, Kid Pix, The Online Encyclopedia of Integer Sequences (OEIS®), and PowerPoint. Page 309, footnote: Also, the OEIS provides closed formulas for a great numbers (sic) of integer sequences, given their first few terms.
  34. Gene Abrams and Gonzalo Aranda Pino, The Leavitt path algebras of generalized Cayley graphs, arXiv preprint arXiv:1310.4735, 2013
  35. Gene Abrams, Stefan Erickson, Cristóbal Gil Canto, Leavitt path algebras of Cayley graphs C_n^j, arXiv:1712.06480 [math.RA], 2017. (A000930)
  36. Sanjar M. Abrarov, Rajinder K. Jagpal, Rehan Siddiqui, and Brendan M. Quine, Algorithmic determination of a large integer in the two-term Machin-like formula for pi, arXiv:2107.01027 [math.GM], 2021. (A338878)
  37. Sanjar M. Abrarov, Brendan M. Quine, The two-term Machin-like formula for pi with small arguments of the arctangent function, arXiv:1704.02875 [math.GM], 2017.
  38. Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal, Brendan M. Quine, Unconditional applicability of the Lehmer's measure to the two-term Machin-like formula for π, arXiv:2004.11711 [math.GM], 2020. See also The Mathematica J. (2021) Vol. 23, Article 2. doi:10.3888/tmj.23-2 (A000796)
  39. Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir; Fixed sequences for a generalization of the binomial interpolated operator and for some other operators. J. Integer Seq. 14 (2011), no. 8, Article 11.8.1, 14 pp.
  40. M. Abrate, S. Barbero, U. Cerruti, N. Murru, Construction and composition of rooted trees via descent functions, Algebra, Volume 2013 (2013), Article ID 543913, 11 pages, doi:10.1155/2013/543913
  41. Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir. Colored compositions, Invert operator and elegant compositions with the black tie. Discrete Math. 335 (2014), 1--7. MR3248794
  42. Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru, Writing Pi as sum of arcotangents with linear recurrent sequences, Golden mean and Lucas numbers, arXiv:1409.6455
  43. Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru, Polynomial sequences on quadratic curves, Integers, Vol. 15, 2015, #A38.
  44. Marco Abrate, S Barbero, U Cerruti, N Murru, The Biharmonic mean, arXiv preprint arXiv:1601.03081, 2016
  45. R. Absil, E. Camby, A. Hertz, H. Mélot, A sharp lower bound on the number of non-equivalent colorings of graphs of order n and maximum degree n− 3, 2015; PDF, Disc. Appl. Math. 234 (2018) 3-11 doi:10.1016/j.dam.2016.06.025
  46. R. Absil and H Mélot, Digenes: genetic algorithms to discover conjectures about directed and undirected graphs, arXiv preprint arXiv:1304.7993, 2013.
  47. Anas AbuDaqa, Amjad Abu-Hassan, Muhammad Imam, Taxonomy and Practical Evaluation of Primality Testing Algorithms, arXiv:2006.08444 [cs.CR], 2020. (A019434)
  48. Tomoaki Abuku, Hikaru Manabe, Richard J. Nowakowski, Carlos P. Santos, and Koki Suetsugu, A complete solution for the partisan chocolate game, arXiv:2310.13559 [math.CO], 2023. (A001045)
  49. Stephen Acampa, Results on the Gold Grabbing Game. Master’s Dissertation, Eastern Kentucky University, 2018.
  50. Hüseyin Acan, Counting unlabeled interval graphs, arXiv:1810.02040 [math.CO], 2018. (A005975)
  51. Hüseyin Acan, Sankardeep Chakraborty, Seungbum Jo, Srinivasa Rao Satti, Succinct Data Structures for Families of Interval Graphs, arXiv:1902.09228 [cs.DS], 2019. (A005975)
  52. Hüseyin Acan, Sankardeep Chakraborty, Seungbum Jo, Srinivasa Rao Satti, Succinct Encodings for Families of Interval Graphs, Algorithmica (2020). doi:10.1007/s00453-020-00710-w
  53. H Acan, P l Hitczenko, On random trees obtained from permutation graphs, arXiv:1406.5958, 2016.
  54. Yeisson Alexis Acevedo Agudelo, Prime numbers. An alternative study using ova-angular rotations, arXiv:2104.04522 [math.GM], 2021. (A002496)
  55. Carlos Alirio Rico Acevedo, Ana Paula Chaves, Double-Recurrence Fibonacci Numbers and Generalizations, arXiv:1903.07490 [math.NT], 2019. (A001629, A002940,A006478, A010049, A014286, A122491, A178523, A190062)
  56. Abdullah Açikel, Amrouche Said, Hacene Belbachir, and Nurettin Irmak, On k-generalized Lucas sequence with its triangle, Turkish J. Math. (2023) Vol. 47, No. 4, Art. 6, 1129-1143. See p. 1130. doi:10.55730/1300-0098.3416 (A000045, A000073, A000078, A001591)
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  58. Jarib R. Acosta, Yadira Caicedo, Juan P. Poveda, José L. Ramírez, Mark Shattuck, Some New Restricted n-Color Composition Functions, J. Int. Seq., Vol. 22 (2019), Article 19.6.4. HTML (A000045, A000930, A003269, A003520, A005708, A052908, A116732, A176848)
  59. Kevin Acres, David Broadhurst, Eta quotients and Rademacher sums, arXiv:1810.07478 [math.NT], 2018. (A014103, A092877, A092885, A095846, A107035, A121589, A121591, A121593, A121597, A123655, A128129, A128638, A141590, A187100)
  60. Reed Acton, T. Kyle Petersen, Blake Shirman, and Bridget Eileen Tenner, The clairvoyant maître d', arXiv:2401.11680 [math.CO], 2024. (A061554)
  61. Ana-Maria Acu, Ioan Cristian Buscu, and Ioan Rasa, A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators, Analysis and Mathematical Physics (2021) Vol. 11, Art. No. 88. doi:10.1007/s13324-021-00525-0
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  65. Michal Adamaszek, Efficient enumeration of graceful permutations (2006), arXiv:math/0608513.
  66. M. Adamaszek, Comparing minimal simplicial models, Journal of Homotopy and Related Structures, August 2012.
  67. M. Adamaszek, Small flag complexes with torsion, Arxiv preprint arXiv:1208.3892, 2012
  68. M. Adamaszek, The smallest nonevasive graph property, Disc. Mathem. Graph Theory 34 (2014) 857 doi:10.7151/dmgt.1766
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  70. Victor Adamchik, Introduction to Experimental Mathematics, appears to be Section 15-366 of Modern Computer Algebra, 2016; https://pdfs.semanticscholar.org/fb2d/19b5caac5efd0c57da492c43e33db34811a9.pdf
  71. Boris Adamczewski, doi:10.4064/aa142-1-6 Non-converging continued fractions related to the Stern diatomic sequence, Acta Arithm. 142 (1) (2010) 67-78.
  72. Boris Adamczewski, "The Many Faces of the Kempner Number", Journal of Integer Sequences, Vol. 16 (2013), #13.2.15.
  73. B Adamczewski, JP Bell, and E Delaygue, Algebraic independence of G-functions and congruences “a la Lucas”, arXiv preprint arXiv:1603.04187, 2016.
  74. Colin Adams, Chaim Even-Zohar, Jonah Greenberg, Reuben Kaufman, David Lee, Darin Li, Dustin Ping, Theodore Sandstrom, Xiwen Wang, Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links, arXiv:2103.08314 [math.GT], 2021. (A000110, A000262, A084423, A084708)
  75. Henry Adams, Samir Shukla, and Anurag Singh, Čech complexes of hypercube graphs, arXiv:2212.05871 [math.CO], 2022. (A055580)
  76. Peter Adams, Ryan C. Bunge, Roger B. Eggleton, Saad I. El-Zanati, Uğur Odabaşi, and Wannasiri Wannasit, Decompositions of complete graphs and complete bipartite graphs into bipartite cubic graphs of order at most 12, Bull. Inst. Combinatorics and Applications (2021) Vol. 92, 50-61. PDF (A002851)
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  78. F. T. Adams-Waters, F. Ruskey, Generating Functions for the Digital Sum and Other Digit Counting Sequences, JIS 12 (2009) 09.5.6.
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  80. Kira Adaricheva and Arav Agarwal, Representation of convex geometries of convex dimension 3 by spheres, arXiv:2308.07384 [math.CO], 2023. (A224913) Note that according to the Online Encyclopedia of Integer Sequences (OEIS.org), there are almost 200,000 non-isomorphic convex geometries (equivalently, antimatroids) on a 6-element set, with the exact number being given in sequence A224913.
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