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"... we have been inspired by the now classical work of Zeilberger on holonomic sequences [19], the PhD thesis and articles of Colton [2], [3], [4] on automated conjecture-making in number theory, and of course the Online Encyclopedia of Integer Sequences (OEIS) [16]. ..." [Andreas Holmstrom, 2016]

"We argue that a database built out of zeta types and Tannakian symbols could lead to interesting discoveries, similar to what has been achieved for example by the OEIS, the LMFDB, and other existing databases of mathematical objects." [Andreas Holmstrom and Torstein Vik, 2017]

"The On-Line Encyclopedia of Integer Sequences (OEIS) is a browsable and searchable online resource launched in 1996 that grew out of N.J.A. Sloane's 1973 book A Handbook of Integer Sequences. Starting in 1994, there are 2,752 references to it in zbMATH. Of these, more than 70% cite OEIS as a whole, while the remaining refer to one or, in about 5% of the cases, several actual entries of the database (with a single reference citing as many as 14 sequences in one case). However, in contrast to the previous example, the references to the online service have quickly [replaced] those to the printed handbook. The easy usability of the OEIS and its powerful search features (which benefit from the rather simple data shape of integer sequences) appear to be a crucial factor here, making it a model for highly findable, accessible, and reusable mathematical data. ..." [Klaus Hulek et al., 2019]

"...the useful database OEIS played a key role in linking the various structures in different areas some, of which will be briefly described ..." [Hwang and Jin, 2019]

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 H.
  • 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.


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  2. Robert Haas, Cographs, arXiv:1905.12627 [math.GM], 2019. (A001200, A309114, A309115, A309116)
  3. Haase, Christian; Melnikov, Ilarion V. The reflexive dimension of a lattice polytope. Ann. Comb. 10 (2006), no. 2, 211-217.
  4. Benjamin Hackl, C Heuberger, H Prodinger, Reductions of Binary Trees and Lattice Paths induced by the Register Function, arXiv preprint arXiv:1612.07286, 2016
  5. B. Hackl, C. Heuberger, H. Prodinger, S. Wagner, Analysis of Bidirectional Ballot Sequences and Random Walks Ending in their Maximum, arXiv preprint arXiv:1503.08790, 2015
  6. Benjamin Hackl, Helmut Prodinger, The Necklace Process: A Generating Function Approach, arXiv:1801.09934 [math.PR], 2018. (A000358)
  7. L. Haddad, C. Helou, Finite Sequences Dominated by the Squares, Journal of Integer Sequences, 18 (2015) #15.1.8.
  8. JA Haddley, Doubling Hypercuboids, Preprint 2015;
  9. Petros Hadjicostas, Cyclic Compositions of a Positive Integer with Parts Avoiding an Arithmetic Sequence, Journal of Integer Sequences, 19 (2016) #16.8.2.
  10. Petros Hadjicostas, Cyclic, Dihedral and Symmetrical Carlitz Compositions of a Positive Integer, Journal of Integer Sequences, 20 (2017), #17.8.5. PDF
  11. Felix M. Haehl, R. Loganayagam, Prithvi Narayan, Mukund Rangamani. Classification of out-of-time-order correlators. arXiv:1701.02820, 2017.
  12. Jan Hagberg, Centrality Testing and the Distribution of the Degree Variance in Bernoulli Graphs, International Sunbelt Social Network Conference, April 2001.
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  14. J. Haglund, A polynomial expression for the Hilbert series of the quotient ring of diagonal coinvariants, PDF
  15. J. Haglund, A. Garsia, A polynomial expression for the character of diagonal harmonics, 2013;
  16. Jim Haglund and Mirko Visontai, Stable multivariate Eulerian polynomials and generalized Stirling permutations, PDF, Eur. J. Comb 33 (4) 477-487 (2012) doi:10.1016/j.ejc.2011.10.007.
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  27. Jonas Hall, Thomas Lingefjärd, Mathematical Modeling: Applications with GeoGebra, New York, NY : Wiley, 2016, 570 p.
  28. JS Hall, MA Novotny, T Neuhaus, K Michielsen, A Study of Spanning Trees on a D-Wave Quantum Computer, Physics Procedia 68 ( 2015 ) 56 – 60; 28th Annual CSP Workshop on “Recent Developments in Computer Simulation Studies in Condensed Matter Physics”, CSP 2015
  29. R. W. Hall and P. Klingsberg, Asymmetric rhythms and tiling canons, Amer. Math. Monthly, 113 (2006), 887-896.
  30. E. Hallouin, M. Perret, A Graph Aided Strategy to Produce Good Recursive Towers over Finite Fields, arXiv preprint arXiv:1503.06591, 2015
  31. Tom Halverson, Theodore N. Jacobson, Set-partition tableaux and representations of diagram algebras, arXiv:1808.08118 [math.RT], 2018. (A007318, A008313, A049020, A064189, A096713, A111062)
  32. T. Halverson and M. Reeks, Gelfand Models for Diagram Algebras, arXiv preprint arXiv:1302.6150, 2013
  33. Zachary Hamaker, Eric Marberg, Atoms for signed permutations, arXiv:1802.09805 [math.CO], 2018. (A001405, A003583, A027306, A039622, A060855)
  34. Z Hamaker, E Marberg, B Pawlowski, Involution words II: braid relations and atomic structures, arXiv preprint arXiv:1601.02269, 2016
  35. Zachary Hamaker, Eric Marberg, Brendan Pawlowski, Fixed-point-free involutions and Schur P-positivity, arXiv:1706.06665 [math.CO], 2017.
  36. Adel Hamdi, A New Formula of q-Fubini Numbers via Gončarov polynomials, arXiv:1908.06939 [math.CO], 2019.
  37. Thomas Hameister, Sujit Rao, Connor Simpson, Chow rings of matroids and atomistic lattices, arXiv:1802.04241 [math.CO], 2017. (A008292)
  38. Gordon Hamilton, Three integer sequences from recreational mathematics, Video, 2013?,
  39. Gordon Hamilton, Kiran S. Kedlaya, and Henri Picciotto, Square–Sum Pair Partitions, College Mathematics Journal 46.4 (2015): 264-269.
  40. Richard H. Hammack, Paul C. Kainen, Graph Bases and Diagram Commutativity, Graphs and Combinatorics (2018), Vol. 34, Issue 4, 523–534. doi:10.1007/s00373-018-1891-y (A085408)
  41. Abdallah Hammam, Some new Formulas for the Kolakoski Sequence A000002, Turkish Journal of Analysis and Number Theory, 2016, Vol. 4, No. 3, 54-59; at; doi:10.12691/tjant-4-3-1
  42. M. Hampejs, N. Holighaus, L. Toth and C. Wiesmeyr, On the subgroups of the group Z_m X Z_n, arXiv:1211.1797, 2012; Journal of Numbers 2014 (2014) ID 491428 doi:10.1155/2014/491428
  43. M. Hampejs, L. Toth, On the subgroups of finite Abelian groups of rank three, Annales Univ. Sci. Budap. 39 (2013) 111-124
  44. Guo-Niu Han, An explicit expansion formula for the powers of the Euler Product in terms of partition hook lengths (2008); arXiv:0804.1849
  45. Guo-Niu Han, Discovering hook length formulas by expansion technique (2008); arXiv:0805.2464
  46. Guo-Niu Han, The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications (2008); arXiv:0805.1398
  47. Guo-Niu Han, Enumeration of Standard Puzzles
  48. Guo-Niu Han, Hankel Continued fractions and Hankel determinants of the Euler numbers, arXiv:1906.00103 [math.CO], 2019. (A000111, A122852)
  49. G.-N. Han, H. Xiong, Difference operators for partitions and some applications, arXiv preprint arXiv:1508.00772, 2015
  50. Lee Zheng Han, Mr Chia Vui Leong, The Walk of Maximal Planar Graphs, 2018. PDF (A000109)
  51. Amihay Hanany and Rak-Kyeong Seong, Brane Tilings and Reflexive Polygons, arXiv:1201.2614, 2012
  52. Amihay Hanany and Rak-Kyeong Seong, Brane Tilings and Specular Duality, arXiv:1206.2386, 2012
  53. Jaroslav Hančl, Simon Kristensen, Metrical irrationality results related to values of the Riemann zeta-function, arXiv:1802.03946 [math.NT], 2018. (A073009)
  54. D. Handelman, Invariants for critical dimension groups and permutation-Hermite equivalence, arXiv preprint arXiv:1309.7417, 2013
  55. Julia Handl and Joshua Knowles, An Investigation of Representations and Operators for Evolutionary Data Clustering with a Variable Number of Clusters, in Parallel Problem Solving from Nature-PPSN IX, Lecture Notes in Computer Science, Volume 4193/2006, Springer-Verlag.
  56. H. H. Hansen, C. Kupke, J. Rutten, Stream Differential Equations: Specification Formats and Solution Methods, 2014;
  57. P. Hansen, How Far Should, Is And Could Be Conjecture-Making Automated in Graph Theory?, Les Cahiers du GERAD, August 2002. (ps, pdf)
  58. P. Hansen, M. Aouchiche, G. Caporossi and D. Stevanovic, What Forms Do Interesting Conjectures Have in Graph Theory?, Les Cahiers du GERAD, August 2002. (ps, pdf)
  59. Pierre Hansen, Alain Hertz, Cherif Sellal, Damir Vukičević, Mustapha Aouchiche, Gilles Caporossi, Edge Realizability of Connected Simple Graphs, MATCH Communications in Mathematical and in Computer Chemistry 78:689-712, 2017.
  60. H Hanslik, E Hetmaniok, I Sobstyl, et al., Orbits of the Kaprekar's transformations–some introductory facts, Zeszyty Naukowe Politechniki ŚSlaskiej, Seria: Matematyka Stosowana z. 5, Nr kol. 1945; 2015; file:///Users/njasloane/Downloads/hanslik_znps_mat_stosow_05_2015.pdf
  61. A. J. Hanson, G. Ortiz, A. Sabry and Y.-T. Tai, Discrete Quantum Theories, arXiv preprint arXiv:1305.3292, 2013
  62. A. J. Hanson, G. Ortiz, A. Sabry, Y.-T. Tai, Discrete quantum theories, (A different version) doi:10.1088/1751-8113/47/11/115305, J. Phys. A: Math. Theor. 47 (2014) 115305 PDF
  63. Mary Grace Hanson and David A. Nash, Minimal and maximal Numbrix puzzles, arXiv:1706.09389 [math.CO], 2017.
  64. C. R. H. Hanusa, A Generalized Binet's Formula for kth Order Linear Recurrences. A Markov Chain Approach, Math Senior Thesis, April 2001.
  65. Hanusa, Christopher R. H., A Gessel-Viennot-type method for cycle systems in a directed graph. Electron. J. Combin. 13 (2006), no. 1, Research Paper 37, 28 pp.
  66. Christopher R. H. Hanusa, Rishi Nath, The number of self-conjugate core partitions, arXiv:1201.6629, 2012.
  67. Christopher R. H. Hanusa, Thomas Zaslavsky, A q-queens problem. VII. Combinatorial types of nonattacking chess riders, arXiv:1906.08981 [math.CO], 2019. (A202654, A202655, A202656, A202657, A193981, A193982, A193983, A193984)
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  69. Christopher R. H. Hanusa, T Zaslavsky, S Chaiken, A q-Queens Problem. IV. Queens, Bishops, Nightriders (and Rooks), arXiv preprint arXiv:1609.00853, 2016
  70. B. Hao, Fractals from genomes: exact solutions of a biology-inspired problem, Physica A282 (2000) 225-246.
  71. B. Hao, H. Xie, Z. Yu and G. Chen, Avoided strings in bacterial complete genomes and a related combinatorial problem, Ann. Comb. 4, No. 3-4, 247-255 (2000).
  72. B. Hao, H. Xie, Z. Yu and G. Chen, Factorisable language: From dynamics to complete genomes, Physica A288 (2000) 10-20.
  73. Sajed Haque, Discriminators of Integer Sequences, arXiv:1702.00802, 2017
  74. Sajed Haque, Jeffrey Shallit, Discriminators and k-Regular Sequences, arXiv:1605.00092, 2016
  75. Masaaki Harada, E Novak, VD Tonchev, The weight distribution of the self-dual $[128, 64] $ polarity design code, arXiv preprint arXiv:1602.04661, 2016
  76. Masaaki Harada, Ken Saito, Binary linear complementary dual codes, arXiv:1802.06985 [math.CO], 2018. (A005783)
  77. Brady Haran, Numberphile Podcast, <a href="">The Number Collector (with Neil Sloane)</a>, August 2019.
  78. Brady Haran and N. J. A. Sloane, <a href="">Primes on the Moon (Lunar Arithmetic)</a>, Numberphile video, Nov 2018.
  79. Brady Haran and N. J. A. Sloane, <a href="">What Number Comes Next?</a>, Numberphile video, Nov 2018.
  80. Brady Haran and N. J. A. Sloane, <a href="">Terrific Toothpick Patterns</a>, Numberphile video, Dec 2018.
  81. Brady Haran and N. J. A. Sloane, <a href="">The Trapped Knight</a>, Numberphile video, Jan 2019.
  82. Brady Haran and N. J. A. Sloane, <a href="">How many ways can circles overlap?</a>, Numberphile video, April 2019.
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  88. F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973.
  89. Frank Harary, Edgar M. Palmer, Ronald C. Read, On the cell-growth problem for arbitrary polygons, Discrete Mathematics, Volume 11, Issue 3, 1975, Pages 371-389.
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