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" ... I did eventually find a handful of interesting articles and letters. The key to tracking them down, unsurprisingly, was the Online Encyclopedia of Integer Sequences, which more and more seems to function as the Master Index to Mathematics." [Brian Hayes, 2021]

"... 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.

References

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  52. Abdelkader Hamtat, An exponential Diophantine equation involving Narayana cow's numbers, Utilitas Math. (2023) Vol. 120. Abstract (A000930)
  53. Boumediene Hamzi and Kamaludin Dingle, Simplicity bias, algorithmic probability, and the random logistic map, arXiv:2401.00593 [cs.IT], 2023. (A098587)
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  55. Bin Han, Jianxi Mao, Jiang Zeng, Equidistributions around special kinds of descents and excedances, arXiv:2103.13092 [math.CO], 2021. (A136394)
  56. Bin Han and Qiongqiong Pan, (p,q,t)-Catalan continued fractions, gamma expansions and pattern avoidances, arXiv:2211.10893 [math.CO], 2022. (A166073)
  57. Guo-Niu Han, An explicit expansion formula for the powers of the Euler Product in terms of partition hook lengths (2008); arXiv:0804.1849
  58. Guo-Niu Han, Discovering hook length formulas by expansion technique (2008); arXiv:0805.2464
  59. Guo-Niu Han, The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications (2008); arXiv:0805.1398
  60. Guo-Niu Han, Enumeration of Standard Puzzles
  61. Guo-Niu Han, Hankel Continued fractions and Hankel determinants of the Euler numbers, arXiv:1906.00103 [math.CO], 2019. (A000111, A122852)
  62. Guo-Niu Han, Shi-Mei Ma, Derivatives, Eulerian polynomials and the g-indexes of Young tableaux, arXiv:2006.14064 [math.CO], 2020. See also Proc. Amer. Math. Soc., (2023). PDF (A094503, A139605)
  63. G.-N. Han, H. Xiong, Difference operators for partitions and some applications, arXiv preprint arXiv:1508.00772, 2015
  64. Lee Zheng Han, Mr Chia Vui Leong, The Walk of Maximal Planar Graphs, 2018. PDF (A000109)
  65. Michael Han, Sycamore Herlihy, Kirsti Kuenzel, Daniel Martin, and Rachel Schmidt, The number of independent sets in bipartite graphs and benzenoids, arXiv:2311.15334 [math.CO], 2023. (A138977)
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  75. 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)
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  120. Nate Harman, Andrew Snowden, and Noah Snyder, The circular Delannoy category, arXiv:2303.10814 [math.RT], 2023.
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  127. Finbarr Holland, A proof, a consequence and an application of Boole's combinatorial identity, Irish Math. Soc. Bulletin (2022) No. 89, 25-28. doi:10.33232/BIMS.0089.25.28 (A000364)
  128. Pamela E. Harris, Peter Hollander, and Erik Insko, On (t,r) broadcast domination of directed graphs, arXiv:2105.11317 [math.CO], 2021. (A000111)
  129. P. E. Harris, E. Insko, and L. K. Williams, The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula, arXiv preprint arXiv:1401.0055, 2013.
  130. Pamela E. Harris, Jan Kretschmann, and J. Carlos Martínez Mori, Lucky Cars and the Quicksort Algorithm, arXiv:2306.13065 [math.CO], 2023. (A288964)
  131. William F. Harris and Ralph O. Erickson, Tubular arrays of spheres: Geometry, continuous and discontinuous contraction, and the role of moving dislocations, Journal of Theoretical Biology, Volume 83, Issue 2, 21 March 1980, Pages 215-246.
  132. Zachary Harris and Joel Louwsma, On Arithmetical Structures on Complete Graphs, arXiv:1909.02022 [math.NT], 2019. See also Involve (2020) Vol. 13, No. 2, 345-355. doi:10.2140/involve.2020.13.345 (A002967)
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  134. Kimberly J. Harry, Computing the q-Multiplicity of the Positive Roots of slr+1(ℂ) and Products of Fibonacci Numbers, arXiv:2312.09986 [math.RT], 2023. (A000045)
  135. Stephanie L. Harshbarger, Barton L. Willis, The binomial transform of p-recursive sequences and the dilogarithm function, arXiv:1910.06928 [math.CA], 2019.
  136. Gus L. W. Hart and Rodney W. Forcade, Generating derivative structures: Algorithm and applications (2008); arXiv:0804.3544
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  138. Anna M. Hartkopf, Günter M. Ziegler, Adopt a Polyhedron–A Citizen Art Project in Mathematics, Bridges 2018 Conference Proceedings. PDF (A000944)
  139. Rebecca Hartman-Baker, The Diffusion Equation Method for Global Optimization and Its Application to Magnetotelluric Geoprospecting
  140. Johannes Niklas Hartmann, Finding optimal strategies in sequential games with the novel selection monad, arXiv:2105.12514 [cs.AI], 2021. (A212693)
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  543. Hsien-Kuei Hwang, Svante Janson, and Tsung-Hsi Tsai, Identities and periodic oscillations of divide-and-conquer recurrences splitting at half, arXiv:2210.10968 [cs.DS], 2022. (A000027, A000120, A000217, A000695, A000788, A001855, A002620, A003188, A005536, A005836, A006046, A006048, A006520, A006581, A006582, A006583, A007088, A010060, A022560, A033042, A033043, A033044, A033045, A033046, A033047, A033048, A033049, A033050, A033051, A033052, A048641, A048644, A051679, A053985, A063010, A063012, A063915, A064194, A065359, A067894, A073121, A074330, A076826, A079947, A079954, A080075, A080572, A080978, A082662, A083652, A090889, A094120, A099027, A112714, A116520, A116522, A116523, A116524, A116525, A116526, A116882, A130665, A130667, A135124, A147562, A151781, A151788, A151792, A151793, A151917, A151920, A159481, A159912, A159914, A160410, A160412, A160428, A160720, A160722, A163242, A163365, A163477, A163478, A171378, A173209, A183060, A183126, A183148, A186410, A189007, A193494, A194458, A197351, A197352, A197353, A224923, A224924, A229763, A236305, A241522, A245710, A255748, A255764, A255765, A256249, A256250, A256256, A256266, A256534, A258438, A260711, A261692, A262620, A262867, A266538, A266540, A267610, A267700, A268514, A268524, A268525, A268526, A268527, A269589, A270106, A273500, A273562, A277267, A279521, A294456, A295513, A296062, A296349, A297531, A301336, A303548, A316936, A325102, A325103, A325104, A330038)
  544. Hsien-Kuei Hwang, Emma Yu Jin, Asymptotics and statistics on Fishburn matrices and their generalizations, arXiv:1911.06690 [math.CO], 2019. Also PDF (A000182, A002439, A022493, A035378, A079144, A138265, A158690, A158691, A179525, A196194, A207214, A207386, A207397, A207433, A207434, A207556, A207557, A207569, A207570, A207571, A207651, A207652, A207653, A207654, A209832, A214687, A215066, A224885, A289312, A289313, A289316, A289317) In particular, the useful database OEIS played a key role in linking the various structures in different areas some of which will be briefly described later
  545. Hsien-Kuei Hwang, Emma Yu Jin, and Michael J. Schlosser, Asymptotics and statistics on Fishburn Matrices: dimension distribution and a conjecture of Stoimenow, arXiv:2012.13570 [math.CO], 2020. (A002820, A005014, A005016, A005321, A005327, A005329, A005331, A006116, A022166, A028362, A182507, A259970, A259971, A259972, A289314, A289315)
  546. Hsien-Kuei Hwang, Mihyun Kang, Guan-Huei Duh, Asymptotic Expansions for Sub-Critical Lagrangean Forms, LIPIcs Proceedings of Analysis of Algorithms 2018, Vol. 110. Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, 2018. doi:10.4230/LIPIcs.AofA.2018.29 (A000108, A000139, A000168, A000256, A000257, A000260, A000287, A000309, A001764, A002293, A005159, A006013, A022558, A062062, A069728, A151374, A153231, A298358)
  547. H.-K. Hwang, A. Panholzer, N. Rolin, et al., Probabilistic analysis of the (1 + 1)-evolutionary algorithm, 2014; arXiv:1409.4955
  548. M. Hyatt and J. Remmel, The classification of 231-avoiding permutations by descents and maximum drop, arXiv:1208.1052, 2012
  549. Matthew Hyatt and Marina Skyers, On the Increases of the Sequence ⌊k√n⌋, Electronic Journal of Combinatorial Number Theory, Volume 15 #A17, 2015. (A060018, A000196)
  550. Trevor Hyde, Liminal reciprocity and factorization statistics, arXiv:1803.08438 [math.NT], 2018. (A088996)
  551. Pierre Hyvernat, https://hal.archives-ouvertes.fr/hal-00601505v6 Some Properties of Inclusions of Multisets and Contractive Boolean Operators], 2014.

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