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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]

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.
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  • 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 A.
  • 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.


  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. 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."]
  3. 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)
  4. E. Aas and S. Linusson, Continuous multiline queues and TASEP, 2014; PDF
  5. 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).
  6. J. Abate, W. Whitt, Integer Sequences from Queueing Theory, J. Int. Seq. 13 (2010), 10.5.5.
  7. Abate, Joseph; Whitt, Ward Brownian motion and the generalized Catalan numbers. J. Integer Seq. 14 (2011), no. 2, Article 11.2.6, 15 pp.
  8. A. Abatzoglou, A. Silverberg, A. V. Sutherland, A, Wong, A framework for deterministic primality proving using elliptic curves with complex multiplication, arXiv preprint arXiv:1404.0107, 2014.
  9. Hoda Abbasizanjani, Oliver Kullmann, Classification of minimally unsatisfiable 2-CNFs, arXiv:2003.03639 [cs.DM], 2020. (A000029)
  10. Y Abdelaziz, JM Maillard, Modular forms, Schwarzian conditions, and symmetries of differential equations in physics, arXiv preprint arXiv:1611.08493, 2016.
  11. Marwa Ben Abdelmaksoud, Adel Hamdi, width-k Eulerian polynomials of type A and B and its γ-positivity, arXiv:1912.08551 [math.CO], 2019. (A162206)
  12. Moussa Abdenbi, Alexandre Blondin Massé, Alain Goupil, On the maximal number of leaves in induced subtrees of series-parallel graphs, Semantic Sensor Networks Workshop 2018, CEUR Workshop Proceedings (2018) Vol. 2113. PDF (A000084)
  13. H. Abe and S. Billey, Consequences of the Lakshmibai-Sandhya theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry, 2014; PDF
  14. U. Abel, Some new identities for derangement numbers, Fib. Q., 56:4 (2018), 313-318.
  15. Z. Abel, E. Demaine, M. Demaine, H. Matsui and G. Rote, Common Developments of Several Different Orthogonal Boxes, PDF
  16. 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.
  17. Jakob Ablinger, Johannes Blümlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider, Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams, arXiv:1706.01299 [hep-th], 2017.
  18. Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52 (2011), no. 10, 102301, 52 pp.
  19. 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)
  20. A. Aboud, J.-P. Bultel, A. Chouria, J.-G. Luque, O. Mallet, Bell polynomials in combinatorial Hopf algebras, arXiv preprint arXiv:1402.2960, 2014
  21. 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
  22. 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.
  23. 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.
  24. 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)
  25. 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.
  26. Gene Abrams and Gonzalo Aranda Pino, The Leavitt path algebras of generalized Cayley graphs, arXiv preprint arXiv:1310.4735, 2013
  27. Gene Abrams, Stefan Erickson, Cristóbal Gil Canto, Leavitt path algebras of Cayley graphs C_n^j, arXiv:1712.06480 [math.RA], 2017. (A000930)
  28. 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.
  29. 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.
  30. 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
  31. 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
  32. 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
  33. Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru, Polynomial sequences on quadratic curves, Integers, Vol. 15, 2015, #A38.
  34. Marco Abrate, S Barbero, U Cerruti, N Murru, The Biharmonic mean, arXiv preprint arXiv:1601.03081, 2016
  35. 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
  36. R. Absil and H Mélot, Digenes: genetic algorithms to discover conjectures about directed and undirected graphs, arXiv preprint arXiv:1304.7993, 2013
  37. Stephen Acampa, Results on the Gold Grabbing Game. Master’s Dissertation, Eastern Kentucky University, 2018.
  38. Hüseyin Acan, Counting unlabeled interval graphs, arXiv:1810.02040 [math.CO], 2018. (A005975)
  39. Hüseyin Acan, Sankardeep Chakraborty, Seungbum Jo, Srinivasa Rao Satti, Succinct Data Structures for Families of Interval Graphs, arXiv:1902.09228 [cs.DS], 2019. (A005975)
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  45. Michal Adamaszek, Efficient enumeration of graceful permutations (2006), arXiv:math/0608513.
  46. M. Adamaszek, Comparing minimal simplicial models, Journal of Homotopy and Related Structures, August 2012.
  47. M. Adamaszek, Small flag complexes with torsion, Arxiv preprint arXiv:1208.3892, 2012
  48. V. S. Adamchik, doi:10.1007/s11139-005-1868-3 The multiple Gamma Function and Its Application to Computation of Series, The Ramanujan Journal, 9(3) (2005) 271-288
  49. Victor Adamchik, Introduction to Experimental Mathematics, appears to be Section 15-366 of Modern Computer Algebra, 2016;
  50. 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.
  51. Boris Adamczewski, "The Many Faces of the Kempner Number", Journal of Integer Sequences, Vol. 16 (2013), #13.2.15.
  52. B Adamczewski, JP Bell, E Delaygue, Algebraic independence of $ G $-functions and congruences "a la Lucas", arXiv preprint arXiv:1603.04187, 2016
  53. Peter Adams, Roger B. Eggleton, James A. MacDougll, Structure of graph posets for orders 4 to 8, Congress. Numer. 166 (2004) 63-81
  54. F. T. Adams-Waters, F. Ruskey, Generating Functions for the Digital Sum and Other Digit Counting Sequences, JIS 12 (2009) 09.5.6
  55. Jeremy C. Adcock, Sam Morley-Short, Joshua W. Silverstone, Mark G. Thompson, Hard limits on the postselectability of optical graph states, arXiv:1806.03263 [quant-ph], 2018. (A000055)
  56. Karteek Addanki and Dekai Wu, Evaluating Improvised Hip Hop Lyrics-Challenges and Observations, 2014;; mentions A000110.
  57. Jan Adem, Yves Crama, Willy Gochet, Frits C.R. Spieksma, Counting and enumerating aggregate classifiers, Discrete Applied Mathematics, Volume 156, Issue 13, 6 July 2008, Pages 2459-2468.
  58. A. O. Adeniji, Identity Difference Transformation Semigroups, (2012).
  59. Ayomikun Adeniran, Catherine Yan, Gončarov Polynomials in Partition Lattices and Exponential Families, arXiv:1907.07814 [math.CO], 2019. (A030019)
  60. A. D. Adeshola, V. Maltcev and A. Umar, Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain, arXiv preprint arXiv:1303.7428, 2013
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  64. Ron M. Adin, Yuval Roichman, On maximal chains in the non-crossing partition lattice, Arxiv preprint arXiv:1201.4669, 2012.
  65. Ron M. Adin, Sergi Elizalde, Victor Reiner, Yuval Roichman, Cyclic descent extensions and distributions, Semantic Sensor Networks Workshop 2018, CEUR Workshop Proceedings (2018) Vol. 2113. PDF (A065826)
  66. D. Adjiashvili, S. Bosio and R. Weismantel, Dynamic Combinatorial Optimization: a complexity and approximability study; PDF, 2012.
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  68. F. Adorjan, Binary mapping of monotone sequences, the Aronson and cellular automaton functions, preprint, 2004.
  69. Nikola Adžaga, Andrej Dujella, Dijana Kreso, Petra Tadić, <a href="">On Diophantine m-tuples and D(n)-sets</a>, 2018.
  70. Aebi, Christian, and Grant Cairns. "Generalizations of Wilson’s Theorem for Double-, Hyper-, Sub-and Superfactorials." The American Mathematical Monthly 122.5 (2015): 433-443.
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