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"The OEIS database [144] was very helpful." [Martin Klazar, 2018]

"the authors also want to thank the On-Line Encyclopedia of Integer Sequences (OEIS) [25] for being a helpful resource in identifying the Bernoulli numbers as coefficients in Eq. (3)." [P. Knechtges et al., 2014]

"... again it reports a case where I discovered a new mathematical result thanks to OEIS. In fact, I think this case might well be the best ever in my experience so far." [D. E. Knuth, 2020]

"... among databases, the "Online Encyclopedia of Integer Sequences" (OEIS) focuses on sequences over Z and their properties." [Michael Kohlhase et al., 2017]

"Thanks are ... due to all contributors and editors of the websites OEIS.org and PrimePuzzles.net." [Alexei Kourbatov, 2017]

"We would not have discovered this connection between quantum mechanical experiments and graph theory, thus the physical interpretations and all the generalisations we are developing right now, without you and A000438." [Mario Krenn et al., 2017]

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References

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  103. Manuel Kauers, Christoph Koutschan, and George Spahn, How Does the Gerrymander Sequence Continue?, J. Int. Seq., Vol. 25 (2022), Article 22.9.7. HTML (A167242, A167247, A348456)
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  106. Manuel Kauers, Jakob Moosbauer, Good pivots for small sparse matrices, arXiv:2006.01623 [cs.SC], 2020. (A002724)
  107. M. Kauers and P. Paule, The Concrete Tetrahedron, Springer 2011.
  108. Manuel Kauers and Doron Zeilberger, The Computational Challenge of Enumerating High-Dimensional Rook Walks
  109. Manuel Kauers, Doron Zeilberger, Counting Standard Young Tableaux With Restricted Runs, arXiv:2006.10205 [math.CO], 2020. (A000045, A000085, A000108, A001006)
  110. Manuel Kauers and Burkhard Zimmermann, Computing the algebraic relations of C-finite sequences and multisequences, Journal of Symbolic Computation, Volume 43, Issue 11, November 2008, Pages 787-803.
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  116. Bernd Kawohl and Christof Weber, Meissner's Mysterious Bodies, Mathematical Intelligencer, Volume 33, Number 3, 2011, pp. 94-101.
  117. Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 1. Odd Bases, J. Int. Seq., Vol. 25 (2022), Article 22.6.7. HTML (A000010, A003558, A165002, A165003, A165041, A165042, A165080, A165081, A165119, A165120)
  118. Rene Kay, Todd Kay, Planet Seeker Interferometer (PSI), hal-02870885v2 [astro-ph.IM], 2020. Abstract (A245461)
  119. George Kaye, A visualiser for linear λ-terms as 3-valent rooted maps, University of Birmingham (UK, 2019). PDF (A062980)
  120. Atabey Kaygun, Enumerating Labeled Graphs that Realize a Fixed Degree Sequence, arXiv:2101.02299 [math.CO], 2021. (A001147, A001205, A002061, A002829, A005815, A295193, A338978, A339847)
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  130. John Keith, Tables from the Book of Soyga, hpcalc.org (2021). Abstract (A346223)
  131. William J. Keith, Rishi Nath, arXiv:1011.1945 Partitions with prescribed hooksets.
  132. William K. Keith, Restricted k-color partitions, arXiv preprint arXiv:1408.4089, 2014.
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  428. Biserka Kolarec, A Look at a Dictionary That Became an Encyclopedia, The Mathematical Intelligencer, 2024. doi:10.1007/s00283-023-10327-w Of interest to connoisseurs and amateurs, a source of problems, and an aid in solving them, OEIS is an indispensable tool for working mathematicians. Exploring the OEIS database offers new insights and new ideas. We encourage readers to jump boldly into the OEIS pool and swim freely among the drops of its entries … in search of your favorite sequence, if for no other reason.
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  441. Atsushi Komaba, Hisashi Johno, and Kazunori Nakamoto, A novel statistical approach for two-sample testing based on the overlap coefficient, arXiv:2206.03166 [math.ST], 2022. (A115139)
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  443. Yuichi Komano and Takaaki Mizuki, Card-Based Zero-Knowledge Proof Protocol for Pancake Sorting, Int'l Conf. Info. Tech. Comm. Sec., Innov. Security Sol. Info. Tech. Comm. (SecITC 2022), Lecture Notes Comp. Sci. (LNCS Vol. 13809), Springer, Cham, pp. 222–239. doi:10.1007/978-3-031-32636-3_13 (A058986)
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  446. Komatsu, Takao doi:10.1007/s10998-017-0199-7 Complementary Euler numbers. Period. Math. Hung. 75, No. 2, 302-314 (2017).
  447. Takao Komatsu, On poly-Euler numbers of the second kind, arXiv:1806.05515 [math.NT], 2018.
  448. Takao Komatsu, Continued fractions associated with the topological index of the caterpillar-bond graph, arXiv:1903.09986 [math.CO], 2019. (A001045)
  449. Takao Komatsu, Convolution identities for tribonacci-type numbers with arbitrary initial values, Palestine Journal of Mathematics (2019) Vol. 8, Issue 2, 413-417. PDF (A000073)
  450. Takao Komatsu, Some recurrence relations of poly-Cauchy numbers, J. Nonlinear Sci. Appl., (2019) Vol. 12, Issue 12, 829–845. doi:10.22436/jnsa.012.12.05 (A003462, A007051, A027649, A027650, A081188, A081200, A222627, A222636, A222748, A223023)
  451. Takao Komatsu, Convolution identities of poly-Cauchy numbers with level 2, arXiv:2003.12926 [math.NT], 2020. (A001819, A001820, A001821)
  452. Takao Komatsu, Fibonacci determinants with Cameron's operator, Boletín de la Sociedad Matemática Mexicana (2020). doi:10.1007/s40590-020-00286-z
  453. Takao Komatsu, Shifted Bernoulli numbers and shifted Fubini numbers, Linear and Nonlinear Analysis (2020) Vol. 6, No. 2, 245-263. PDF (A000670)
  454. Takao Komatsu, Several Continued Fraction Expansions of Generalized Cauchy Numbers, Bull. Malays. Math. Sci. Soc. (2021). doi:10.1007/s40840-021-01074-2
  455. Takao Komatsu, Recurrence relations of poly-Cauchy numbers by the r-Stirling transform, arXiv:2103.15291 [math.NT], 2021.
  456. Takao Komatsu, Sylvester sums on the Frobenius set in arithmetic progression, arXiv:2203.12238 [math.NT], 2022.
  457. Takao Komatsu, On the determination of p-Frobenius and related numbers using the p-Apéry set, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (2024) Vol. 118, Art. No. 58. doi:10.1007/s13398-024-01556-5
  458. Takao Komatsu, Eli Bagno, and David Garber, A q,r-analogue of poly-Stirling numbers of second kind with combinatorial applications, arXiv:2209.06674 [math.CO], 2022. (A085483, A143395)
  459. T. Komatsu, V. Laohakosol, On the Sum of Reciprocals of Numbers Satisfying a Recurrence Relation of Order s, J. Int. Seq. 13 (2010), 10.5.8
  460. T. Komatsu, V. Laohakosol, K. Liptai, A generalization of poly-Cauchy numbers and its properties, Abstract and Applied Analysis, Volume 2013, Article ID 179841, 8 pages, doi:10.1155/2013/179841
  461. Takao Komatsu, L Németh, L Szalay, Tilings of hyperbolic (2 × n)-board with colored squares and dominoes, Dec 20 2017; PDF also arXiv:1712.07823 [math.CO], 2017. (A000045)
  462. Takao Komatsu and Ram Krishna Pandey, On hypergeometric Cauchy numbers of higher grade, AIMS Mathematics (2021) Vol. 6, Issue 7. doi:10.3934/math.2021390 (A002115)
  463. Takao Komatsu and Claudio Pita-Ruiz, The Frobenius number for Jacobsthal triples associated with number of solutions, Axioms (2023) Vol. 12, No. 2, Art. 98. doi:10.3390/axioms12020098 (A001045)
  464. Takao Komatsu, Amalia Pizarro-Madariaga, Harmonic numbers associated with inversion numbers in terms of determinants, Turkish Journal of Mathematics (2019) Vol. 43, 340–354. doi:10.3906/mat-1809-52 (A006252)
  465. Takao Komatsu, José L. Ramírez, Some determinants involving incomplete Fubini numbers, arXiv:1802.06188 [math.NT], 2018. (A000670)
  466. Takao Komatsu, Claudio de J. Pita Ruiz, Truncated Euler polynomials, arXiv:1802.07526 [math.NT], 2018.
  467. Takao Komatsu and Yuan Zhang, <a href="https://arxiv.org/abs/2101.04298">Weighted Sylvester sums on the Frobenius set in more variables</a>, arXiv:2101.04298 [math.NT], 2021.
  468. Takao Komatsu, FZ Zhao, The log-convexity of the poly-Cauchy numbers, arXiv preprint arXiv:1603.06725, 2016
  469. Takao Komatsu, H Zhu, Hypergeometric Euler numbers, arXiv preprint arXiv:1612.06210, 2016.
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