CiteD

"Finding a good conjecture [for an integral] relies often on the usage of other Information and Communication Technologies (ICTs), such as online databases, in particular the Online Encyclopedia of Integer Sequences [11]. It provides formulas, references to literature, but also source code for the usage of a CAS. ... Searching these databases is valuable also for cases where the student can compute the integral, as it enables finding new connections with other mathematical fields." [Thierry Dana-Picard and David G. Zeitoun, 2017]

"This database [Slo03] can be said to have “colonised the high ground” in mathematics: mathematicians from all sub-disciplines use it." [James H. Davenprt, 2021]

"... those concerned with mathematical heuristics have found that it is useful and makes good sense to create the Online Encyclopedia of Integer Sequences that will attempt to identify a finite sequence from among a large and growing database of sequences that have arisen in theoretical work." [Philip J. Davis, 2014]

"The connection between these two appearances would probably not have occurred without Sloane's Handbook of Integer Sequences ..." [E. Deutsch and L. Shapiro, 2001]

"We encounter the amazingly interesting and helpful on-line mathematical tool OEIS ..."" [Karl Dilcher and Larry Ericksen, 2015]

"It should be mentioned that all 5 identities in Corollary 6 were first found experimentally by using MAPLE and the OEIS." [Karl Dilcher and Christophe Vignat, 2018]

"Fortunately, when analyzing computational data for z(n, k, m), we searched the OEIS [1] for the case m = 0, which yielded an unexpected connection with the sequence A046854." [Jeremy M. Dover, 2016]

"The OEIS (2013) was very helpful in identifying the rencontre numbers in some apparently unrelated work, and thus lead to the tree construction that is the focus of the present paper." [P. Duchon and R. Duvignau, 2014]

"The Online Encyclopedia of Integer Sequences [OE] was useful in discovering the formula in part (b)." [D. Dugger, 2012]

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References

Alessandro D'Andrea and Salvatore Stella, The cardinality of Kiselman's semigroups grows double-exponentially, arXiv:2303.13149 [math.CO], 2023. (A125625)
D'Andrea, Carlos; Hare, Kevin G. On the height of the Sylvester resultant. Experiment. Math. 13 (2004), no. 3, 331-341.
John P. D'Angelo, Monomial Sphere Maps, Rational Sphere Maps, Progress in Mathematics, Birkhäuser, Cham (2021) Vol. 341. doi:10.1007/978-3-030-75809-7_3
John P. D'Angelo, Counting Tournament Brackets, J. Int. Seq., Vol. 25 (2022), Article 22.6.8. HTML (A028361, A355519)
Alma D'Aniello, A de Luca, A De Luca, On Christoffel and standard words and their derivatives, arXiv preprint arXiv:1602.03231, 2016
D'Antona, Ottavio M.; Munarini, Emanuele, A combinatorial interpretation of the connection constants for persistent sequences of polynomials. European J. Combin. 26 (2005), no. 7, 1105-1118.
Stéphane d’Ascoli, Pierre-Alexandre Kamienny, Guillaume Lample, François Charton, Deep Symbolic Regression for Recurrent Sequences, arXiv:2201.04600 [cs.LG], 2022.
Stéphane d’Ascoli, Pierre-Alexandre Kamienny, Guillaume Lample, and François Charton, Deep symbolic regression for recurrence prediction, Proc. 39th Int'l Conf. Machine Learning (2022) Vol. 162, 4520-4536. Abstract (A000053, A000792, A000855, A006257, A008954, A026741, A035327, A062050, A074062) We evaluate our integer model on a subset of OEIS sequences, and show that it outperforms built-in Mathematica functions for recurrence prediction. Our integer model yields exact recurrence relations on a variety of interesting OEIS sequences. Predictions are based on observing the first 25 terms of each sequence.
R. D'Mello, Marshall Hall's Conjecture and Gaps Between Integer Points on Mordell Elliptic Curves, arXiv preprint arXiv:1410.0078, 2014.
Henrique F. da Cruz, Ilda Inácio, Rogério Serôdio, Convertible subspaces that arise from different numberings of the vertices of a graph, Ars Mathematica Contemporanea (2019) Vol. 16, No. 2, 473-486. doi:10.26493/1855-3974.1477.1c7 (A000045, A006190)
C. M. da Fonseca, Unifying some Pell and Fibonacci identities, Applied Mathematics and Computation, Volume 236, 1 June 2014, Pages 41-42,
CM da Fonseca, ML Glasser, V Kowalenko, Basic trigonometric power sums with applications, arXiv preprint arXiv:1601.07839, 2016
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko, Generalized cosecant numbers and trigonometric inverse power sums, Applicable Analysis and Discrete Mathematics, Vol. 12, No. 1 (2018), 70-109. doi:10.2298/AADM1801070F (A111354, A123751)
Carlos M. da Fonseca, On a closed form for derangement numbers: an elementary proof, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (2020) Vol. 114, Article No. 146. doi:10.1007/s13398-020-00879-3
Ilda P.F. da Silva, Recursivity and geometry of the hypercube, Linear Algebra and its Applications, Volume 397, 1 March 2005, Pages 223-233.
Poly H. da Silva, Arash Jamshidpey, Simon Tavaré, Random derangements and the Ewens Sampling Formula, arXiv:2006.04840 [math.PR], 2020. (A038205)
Robson da Silva, Kelvin S. de Oliveira, Almir C. G. Netom, On a four-parameters generalization of some special sequences, arXiv:1705.04978 [math.NT], 2017.
Matthew Dabkowski, N Fan, R Breiger, Exploratory blockmodeling for one-mode, unsigned, deterministic networks using integer programming and structural equivalence, Social Networks, Volume 47, October 2016, Pages 93–106; doi:10.1016/j.socnet.2016.05.005
S. Daboul, J. Mangaldan, M. Z. Spivey and P. Taylor, The Lah Numbers and the nth Derivative of exp(1/x), http://math.pugetsound.edu/~mspivey/Exp.pdf.
Adrian Dacko, <a href="https://arxiv.org/abs/1901.06342">V-monotone independence</a>, arXiv:1901.06342 [math.FA], 2019. (A001147, A306228)
Spiros D. Dafnis, Andreas N. Philippou, Ioannis E. Livieris, An Alternating Sum of Fibonacci and Lucas Numbers of Order k, Mathematics (2020) Vol. 8, 1487. doi:10.3390/math8091487 (A000032, A000045, A000073, A000078, A001591, A001592, A001644, A066178, A073817, A074048, A074584, A079262, A104621, A105754)
Keneth Adrian Dagal, A Lower Bound for τ(n) for k-Multiperfect Number, arXiv:1309.3527 [math.NT], 2013. (A001620)
Björn Dagerman, High-Level Decision Making in Adversarial Environments using Behavior Trees and Monte Carlo Tree Search, Master's Thesis, Kungliga Tekniska Högskolan, 2017.
G Dahl, TA Haufmann, Zero-one completely positive matrices and the A(R,S) classes, Preprint, 2016; https://www.researchgate.net/profile/Geir_Dahl/publication/303684695_Zero-one_completely_positive_matrices_and_the_AR_S_classes/links/574d4e6308aec988526a3045.pdf
Paul Dahlenberg and T. Edgar, Consecutive factorial base Niven numbers, Fib. Q., 56:2 (2018), 163-166.
Rafael Dahmen, W. Steven Gray, Alexander Schmeding, Continuity of Chen-Fliess Series for Applications in System Identification and Machine Learning, arXiv:2002.10140 [math.OC], 2020. (A000108)
Xinle Dai, Jordan Long, and Karen Yeats, Subdivergence-free gluings of trees, arXiv:2106.07494 [math.CO], 2021. (A003319)
Dairyko, Michael; Tyner, Samantha; Pudwell, Lara; Wynn, Casey. Non-contiguous pattern avoidance in binary trees. Electron. J. Combin. 19 (2012), no. 3, Paper 22, 21 pp. MR2967227.
M. R. T. Dale, J. W. Moon, The permuted analogues of three Catalan sets, Journal of Statistical Planning and Inference, Volume 34, Issue 1, January 1993, Pages 75-87.
Paul Dalenberg, Tom Edgar, Consecutive factorial base Niven numbers, Fibonacci Quart. (2018) Vol. 56, No. 2, 163-166. Issue Contents (A005349, A014417, A049445, A064150, A064438)
Cristina Dalfó, From subKautz digraphs to cyclic Kautz digraphs, arXiv:1709.01882 [math.CO] 2017.
C. Dalfó, The spectra of subKautz and cyclic Kautz digraphs, Linear Algebra and its Applications, 531 (2017), p. 210-219. doi:10.1016/j.laa.2017.05.046
Cristina Dalfó, A new general family of mixed graphs, Discrete Applied Mathematics (2019). doi:10.1016/j.dam.2018.12.016
C. Dalfó, G. Erskine, G. Exoo, M. A. Fiol, N. López, A. Messegué, and J. Tuite, On large regular (1,1,k)-mixed graphs, arXiv:2306.04521 [math.CO], 2023. (A000045)
C Dalfó, MA Fiol, A Note on the Order of Iterated Line Digraphs, Journal of Graph Theory, Volume 85, Issue 2, June 2017, Pages 395–39, 2016; doi:10.1002/jgt.22068; arXiv:1607.08832, 2016.
Cristina Dalfó, Miquel Angel Fiol, Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups, arXiv:1906.05851 [math.CO], 2019. (A058986)
Paola Dalla Torre, Paolo Fantozzi, and Maurizio Naldi, 4. Analysing the Inner Structure of Episodes in House, MD through Network Analysis. Investigating Medical Drama TV Series: Approaches and Perspectives. 14th Media Mutations Int'l Conf., Media Mutations Publishing (Bologna, Italy 2023) 67-83. See p. 75. doi:10.21428/93b7ef64.6c45c0e2 (A001349, A086345)
Daniel Daly, doi:10.1007/s00026-010-0051-8 Fibonacci numbers, reduced decompositions and 321/3412 pattern classes, Ann. Combin. 14 (1) (2010) 53-64
D. Daly and L. Pudwell, Pattern avoidance in rook monoids, 2013; PDF, J. Comb. 5 (2014) 471 doi:10.4310/JOC.2014.v5.n4.a5
David Damanik, Local symmetries in the period-doubling sequence, Discrete Applied Mathematics, Volume 100, Issues 1-2, 15 March 2000, Pages 115-121.
Gábor Damásdi, Stefan Felsner, António Girão, Balázs Keszegh, David Lewis, Dániel T. Nagy, Torsten Ueckerdt, On Covering Numbers, Young Diagrams, and the Local Dimension of Posets, arXiv:2001.06367 [math.CO], 2020. (A001206)
Celeste Damiani, Paul Martin, Eric C. Rowell, Generalisations of Hecke algebras from Loop Braid Groups, arXiv:2008.04840 [math.GT], 2020. (A032443)
H. M. Damm, Prüfziffernsysteme über Quasigruppen, Diplomarbeit Univ. Marburg, 1998.
Damm, Michael, Check digit systems over groups and anti-symmetric mappings. Arch. Math. (Basel) 75 (2000), no. 6, 413-421.
Thierry Dana-Picard:, Explicit closed forms for parametric integrals, Int. J. Math. Ed. Sci. Tech. 35 (3) (2004), 456-467.
Thierry Dana-Picard:, Parametric integrals and Catalan numbers, Int. J. Math. Ed. Sci. Tech. 36 (4), 410-414.
Thierry Dana-Picard, "Sequences of Definite Integrals, Factorials and Double Factorials", J. Integer Sequences, Volume 8, 2005, Article 05.4.6.
T. Dana-Picard, Motivating constraints of a pedagogy-embedded computer algebra system, Int. J. Sci. math. Educ. 5 (2) (2007) 217 doi:10.1007/s10763-006-9052-9
Thierry Dana-Picard, doi:10.1080/0020739X.2010.519792 Integral representations of Catalan numbers and Wallis formula], Int. J. Math. Ed. Sci. Techn. 42 (1) (2011) 122-129
Thierry Dana-Picard and D. Zeitoun (2009): Closed forms for 4-parameter families of integrals, International Journal of Mathematical Education in Science and Technology 40 (6), 828-837.
Thierry Dana-Picard and David G. Zeitoun, Sequences of definite integrals, infinite series and Stirling numbers, International Journal of Mathematical Education in Science and Technology, jun 19 2011, doi:10.1080/0020739X.2011.582172
Thierry Dana-Picard & David Zeitoun (2016): Exploration of parametric integrals related to a question of soil mechanics, International Journal of Mathematical Education in Science and Technology, doi:10.1080/0020739X.2016.1256445
Thierry Dana-Picard and David G. Zeitoun, A Framework for an ICT-Based Study of Parametric Integrals, Mathematics in Computer Science, December 2017, Volume 11, Issue 3–4, pp. 285–296. doi:10.1007/s11786-017-0299-z ["Finding a good conjecture [for an integral] relies often on the usage of other Information and Communication Technologies (ICTs), such as online databases, in particular the Online Encyclopedia of Integer Sequences [11]. It provides formulas, references to literature, but also source code for the usage of a CAS. ... Searching these databases is valuable also for cases where the student can compute the integral, as it enables finding new connections with other mathematical fields."]
Thierry Dana-Picard, David G. Zeitoun, Parametric integrals, combinatorial identities and applications, Applications of Computer Algebra (ACA 2019, Montréal, Canada) École de technologie supérieure. PDF The Online Encyclopedia of Integer Sequences (oeis.org). Experiments with the [computer algebra system] provide the first terms of the sequences of integrals. Using the database, candidates to describe the sequence (I_n) are obtained. Determination of a closed formula is made easier.
Van Vinh Dang, Nataliya Dodonova, Mikhail Dodonov, and Svetlana Korabelshchikova, <a href="http://ceur-ws.org/Vol-2667/paper18.pdf">Some Applications of Binary Lunar Arithmetic</a>, Proceedings of the VI International Conference on Information Technology and Nanotechnology, Data Science Session (ITNT-DS 2020), Vol. 2667, 75-79. Also Svetlana Korabelshchikova, <a href="https://www.youtube.com/watch?v=x3LPRQgd2mk">Some applications of binary lunar arithmetic</a>, talk in Russian with English slides, based on previous paper.
Lars Eirik Danielsen, On Self-Dual Quantum Codes, Graphs and Boolean Functions (2005), arXiv:quant-ph/0503236.
Lars Eirik Danielsen, Classification of Hermitian Self-Dual Additive Codes over GF(9), Arxiv preprint arXiv:1106.2428, 2011
Danielsen, Lars Eirik; Gulliver, T. Aaron; Parker, Matthew G. Aperiodic propagation criteria for Boolean functions. Inform. and Comput. 204 (2006), no. 5, 741-770.
Lars Eirik Danielsen and Matthew G. Parker, Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with respect to the {I,H,N}^n Transform (2005), arXiv:cs/0504102. In Sequences and Their Applications-SETA 2004, Lecture Notes in Computer Science, Volume 3486/2005, Springer-Verlag.
Danielsen, Lars Eirik; Parker, Matthew G. On the classification of all self-dual additive codes over GF(4) of length up to 12. J. Combin. Theory Ser. A 113 (2006), no. 7, 1351-1367.
Lars Eirik Danielsen and Matthew G. Parker, Edge Local Complementation and Equivalence of Binary Linear Codes (2007), arXiv:0710.2243.
Lars Eirik Danielsen, Matthew G. Parker, Interlace Polynomials: Enumeration, Unimodality, and Connections to Codes (2008); arXiv:0804.2576 and Discr. Appl. Math. 158 (6) (2010) 636-648 doi:10.1016/j.dam.2009.11.011
Lars Eirik Danielsen and Matthew G. Parker, Directed Graph Representation of Half-Rate Additive Codes over GF(4) (2009) arXiv:0902.3883
Nyirenda Darlison and Mugwangwavari Beaullah, Extentions and variations of Andrews-Merca identities, arXiv:2205.03697 [math.CO], 2022. See p. 7 ff. (A353902, A353903)
A. Darte, D. Chavarria-Miranda, R. Fowler and J. Mellor-Crummey, Latin hyper-rectangles for efficient parallelization of line-sweep computations, Submitted to the Annals of Operations Research, December 2001.
A. Darte, D. Chavarria-Miranda, R. Fowler and J. Mellor-Crummey, Generalized Multipartitioning, in Informal Proceedings of LACSI (Los Alamos Computer Science Institute) 2001 Symposium, Santa Fe, New Mexico, October 2001. [ps.gz, pdf]
A. Darte, D. Chavarria-Miranda, R. Fowler and J. Mellor-Crummey, "Generalized Multipartitioning for Multi-Dimensional Arrays", in Proceedings of International Parallel and Distributed Processing Symposium, Fort Lauderdale, FL, April 2002. Selected as Best Paper (gzipped Postscript, PDF)
Alain Darte, John Mellor-Crummey, Robert Fowler, Daniel Chavarria-Miranda, Generalized multipartitioning of multi-dimensional arrays for parallelizing line-sweep computations, Journal of Parallel and Distributed Computing, Volume 63, Issue 9, September 2003, Pages 887-911.
Cecile Dartyge, Florian Luca and Pantelimon Stnic, On digit sums of multiples of an integer, Journal of Number Theory, 129 (2009), 2820-2830.
Cécile Dartyge, Bruno Martin, Joël Rivat, Igor E. Shparlinski, and Cathy Swaenepoel, Reversible primes, arXiv:2309.11380 [math.NT], 2023. (A007500, A016115, A048054, A074831, A074832, A077337, A117773)
Sandip Das, Sumitava Ghosh, Swathy Prabhu, and Sagnik Sen, A homomorphic polynomial for oriented graphs, Indian Inst. Tech. Dharwad (India, 2023). PDF
Narendrakumar R. Dasre, Pritam Gujarathi, Approximating the Bounds for Number of Partially Ordered Sets with n Labeled Elements, Computing in Engineering and Technology, Advances in Intelligent Systems and Computing, Vol. 1025, Springer (Singapore 2019), 349-356. doi:10.1007/978-981-32-9515-5_33 (A001035)
Sandrine Dassehartaut and Pawel Hitczenko, Greek letters in random staircase tableaux, PDF and Random Struct. Algorithms 42, No. 1, 73-96 (2013) doi:10.1002/rsa.20405
Manosij Ghosh Dastidar and Sourav Sen Gupta, Generalization of a few results in Integer Partitions, Arxiv preprint arXiv:1111.0094, 2011.
Manosij Ghosh Dastidar and Michael Wallner, <a href="https://arxiv.org/abs/2404.08415">Asymptotics of relaxed k-ary trees</a>, arXiv:2404.08415 [math.CO], 2024. See p. 1.6.

Manosij Ghosh Dastidar and Michael Wallner, Asymptotics of relaxed k-ary trees, arXiv:2404.08415 [math.CO], 2024. (A082161 p. 1:4, A082162 p. 1:4, A102102 p. 1:4, A128249 p. 1:4, A254789 p. 1:5, A331120 p. 1:6)

Shouvik Datta, MR Gaberdiel, W Li, C Peng, Twisted sectors from plane partitions, arXiv preprint arXiv:1606.07070, 2016.
G. Dattoli, E. Di Palma, E. Sabia, Cardan Polynomials, Chebyshev Exponents, Ultra-Radicals and Generalized Imaginary Units, Advances in Applied Clifford Algebras, 2014
G Dattoli, K Górska, A Horzela, KA Penson, E Sabia, Theory of relativistic heat polynomials and one-sided Lévy distributions, 2016; https://www.researchgate.net/profile/Giuseppe_Dattoli2/publication/306100458_Theory_of_relativistic_heat_polynomials_and_one-sided_Levy_distributions/links/57b1819d08aeb2cf17c4be1c.pdf
Giuseppe Dattoli, Silvia Licciardi, and Elio Sabia, An operational point of view to the theory of multi-variable/multi-index Hermite polynomials, arXiv:2310.19689 [math-ph], 2023. (A067994, A101109)
Hai-Dang Dau and Nicolas Chopin, Waste-free Sequential Monte Carlo, arXiv:2011.02328 [stat.CO], 2020. (A002860)
A. Dauletiyarova, K. Abdukhalikov, and B. K. Sartayev, On the free metabelian Lie-admissible algebras, arXiv:2401.06993 [math.RA], 2024. (A337017, A369542)
Leonard Dăuş, Marilena Jianu, Full Hermite interpolation of the reliability of a hammock network, Applicable Analysis and Discrete Mathematics (2020) Vol. 14, 198-220. doi:10.2298/AADM190805017D
Dennis E. Davenport, Lara K. Pudwell, Louis W. Shapiro, Leon C. Woodson, The Boundary of Ordered Trees, Journal of Integer Sequences, Vol. 18 (2015), Article 15.5.8. (A000108 A000245 A000344 A000957 A000984 A001700 A014137 A068551 A228180 A228197 A228343)
D. E. Davenport, L. W. Shapiro and L. C. Woodson, The Double Riordan Group, The Electronic Journal of Combinatorics, 18(2) (2012), #P33.
Dennis E. Davenport, Louis W. Shapiro, Leon C. Woodson, A bijection between the triangulations of convex polygons and ordered trees, Integers (2020) Vol. 20, Article #A8. PDF (A000108, A000957, A000958, A001003, A114487) In our research several sequences were found which are in the Online Encyclopedia of Integer Sequences (OEIS); the A-numbers refer to this source.
Dennis E. Davenport, Shakuan K. Frankson, Louis W. Shapiro, and Leon C. Woodson, An Invitation to the Riordan Group, Enum. Comb. Appl. (2024) Vol. 4, No. 3, Art. #S2S1. See p. 22. doi:10.54550/ECA2024V4S3S1 (A033484)
J. H. Davenport, International Symposium on Symbolic and Algebraic Computation (ISSAC 2014), 2014; http://people.bath.ac.uk/masjhd/Meetings/JHDonISSAC2014.pdf
James Harold Davenport, Digital Collections of Examples in Mathematical Sciences, arXiv:2107.12908 [cs.SC], 2021. This database [Slo03] can be said to have “colonised the high ground” in mathematics: mathematicians from all sub-disciplines use it.
James Davenport, Bjorn Poonen, James Maynard, Harald Helfgott, Pham Huu Tiep, Luís Cruz-Filipe, Machine-Assisted Proofs (ICM 2018 Panel), arXiv:1809.08062 [math.HO], 2018.
Ori DAVIDOV and Shyamal PEDDADA, Order-Restricted Inference for Multivariate Binary Data With Application to Toxicology, Journal of the American Statistical Association, December 1, 2011, 106(496): 1394-1404, doi:10.1198/jasa.2011.tm10322.
Aharon Davidson, From Planck Area to Graph Theory: Topologically Distinct Black Hole Microstates, arXiv:1907.03090 [gr-qc], 2019. (A000011, A000109, A243787)
Clintin P. Davis-Stober, Jean-Paul Doignon, Samuel Fiorini, François Glineur, Michel Regenwetter, Extended Formulations for Order Polytopes through Network Flows, arXiv:1710.02679 [math.OC], 2017. (A000262)
Donald M. Davis, A lower bound for higher topological complexity of real projective space, arXiv:1709.04443 [math.AT], 2017.
Donald M. Davis, Enumerating lattices of subsets, arXiv preprint arXiv:1311.6664, 2013
Matt Davis, Quadrant Marked Mesh Patterns and the r-Stirling Numbers- arXiv preprint arXiv:1412.0345, 2014 and J. Int. Seq. 18 (2015) 15.10.1
Nichole Davis, Dominic Klyve and Nicole Kraght, On the difference between an integer and the sum of its proper divisors, Involve, Vol. 6 (2013), No. 4, 493-504; doi:10.2140/involve.2013.6.493
Philip J. Davis, The relevance of the irrelevant beginning, Science Open Research, 2014; https://www.science-open.com/document_file/bbb13cb9-819d-40ee-88c4-93da7a9837ee/ScienceOpen/1126_XE4980413325094859252.pdf ["... those concerned with mathematical heuristics have found that it is useful and makes good sense to create the Online Encyclopedia of Integer Sequences that will attempt to identify a finite sequence from among a large and growing database of sequences that have arisen in theoretical work."]
Robert Davis, Greg Simay, Further Combinatorics and Applications of Two-Toned Tilings, arXiv:2001.11089 [math.CO], 2020. (A000096, A001782, A001788, A001793, A045623, A049611, A055580, A055581, A055582, A055583, A058396, A062109, A081277, A169792, A169793)
Madeline Locus Dawsey, Tyler Russell, and Dannie Urban, Polynomials Associated to Integer Partitions, arXiv:2108.00943 [math.NT], 2021. (A000041, A008277, A305078)
Madeline Locus Dawsey, Tyler Russell, and Dannie Urban, Derivatives and Integrals of Polynomials Associated with Integer Partitions, J. Int. Seq., Vol. 25 (2022), Article 22.5.1. HTML (A000041, A008277, A305078)
Madeline Locus Dawsey, Matthew Just, Robert Schneider, A "supernormal" partition statistic, arXiv:2107.14284 [math.NT], 2021. (A305078)
B. A. Dawson, The Algorithmic Beauty of Music: Approaches to Computer-Aided Algorithmic Composition, http://brucedawson.net/wp-content/uploads/2015/05/DAWSONBRUCE_THESIS_PDF.pdf, 2015. [...includes automatic melody generation using the Online Encyclopedia of Integer Sequences...]
R. J. M. Dawson, Tilings of the sphere with isosceles triangles, Discrete Comput. Geom. 30 (2003), 467-487.
R. J. MacG. Dawson, doi:10.1007/s00022-010-0044-0 Monotone and Cebysev arcs in hyperspaces], J. Geom. 98 (1-2) (2010) 1-19
Robert J. MacG. Dawson, On Some Sequences Related to Sums of Powers, J. Int. Seq., Vol. 21 (2018), Article 18.7.6. HTML (A000124, A000217, A000330, A000537, A003226, A007185, A016090, A033819, A067270, A093534, A301912) I would like to thank ... various editors of the OEIS and JIS for helpful comments, and the anonymous referee for many helpful suggestions.
Christian Dayé, The Oracle's Epistemology: Expert Opinions as Scientific Material, 1955–1960; Experts, Social Scientists, and Techniques of Prognosis in Cold War America, Socio-Historical Studies of the Social and Human Sciences book series (SHSSHS, 2019), 129-156. doi:10.1007/978-3-030-32781-1_5
D. E. Daykin, D. J. Kleitman and D. B. West, The number of meets between two subsets of a lattice, Journal of Combinatorial Theory, Series A, Volume 26, Issue 2, March 1979, Pages 135-156.
Mahadi Ddamulira, On the x−coordinates of Pell equations which are sums of two Padovan numbers, arXiv:1905.11322 [math.NT], 2019. (A000931)
Mahadi Ddamulira, On the x-coordinates of Pell equations which are products of two Pell numbers, arXiv:1906.06330 [math.NT], 2019. (A000129)
Mahadi Ddamulira, On the x-coordinates of Pell equations which are products of two Lucas numbers, arXiv:1906.06330v2 [math.NT], 2019. (A000032)
Mahadi Ddamulira, On the x–coordinates of Pell equations that are products of two Padovan numbers, Integers: Electronic Journal of Combinatorial Number Theory, State University of West Georgia,Charles University, and DIMATIA, hal-02471858. Abstract (A000931)
Mahadi Ddamulira, Padovan numbers that are concatenations of two distinct repdigits, arXiv:2003.10705 [math.NT], 2020. (A000931, A010785)
Mahadi Ddamulira, Florian Luca, The x−coordinates of Pell equations and sums of two Fibonacci numbers II, (2019) [math.NT]. Abstract (A000045)
Mahadi Ddamulira, Repdigits as sums of three balancing numbers, Mathematica Slovaca (2019) hal-02405969. PDF (A001109, A010785)
Mahadi Ddamulira, Tribonacci numbers that are concatenations of two repdigits, hal-02547159, Mathematics [math] / Number Theory [math.NT], 2020. Abstract (A000073, A010785)
Mahadi Ddamulira, Padovan numbers that are concatenations of two distinct repdigits, Cambridge Open Engage (2020) preprint. doi:10.33774/coe-2020-smm9j-v2 (A000931, A010785)
Mahadi Ddamulira, On the x-coordinates of Pell Equations that are Products of Two Padovan Numbers, Integers (2020) Vol. 20, #A70. PDF (A000931)
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F. Javier de Vega, A Complete Solution of the Partitions of a Number into Arithmetic Progressions, arXiv:2004.09505 [math.NT], 2020. (A049988)
F. Javier de Vega, On the parabolic partitions of a number, J. Alg., Num. Theor., and Appl. (2023) Vol. 61, No. 2, 135-169. doi:10.17654/0972555523015 (A001110, A005448, A049988, A128862)
Francisco Javier de Vega, <a href="https://doi.org/10.3390/axioms12100905">Some Variants of Integer Multiplication</a>, Axioms (2023) Vol. 12, 905. See p. 8.
Francisco Javier de Vega, Some Variants of Integer Multiplication, Axioms (2023) Vol. 12, 905. doi:10.3390/axioms12100905 (A000040, A000079, A008778 p. 15, A243225, A327782)
Michael De Vlieger, Central zero-triangles in rotationally symmetrical XOR-Triangles. Simple Seq. Analysis, 2020. HTML (A030101, A070939, A101211, A318927, A333624, A333625, A334556, A334596, A334769, A334770, A334771, A334796, A334836, A334896, A334930, A334931, A334932, A335061, A335077)
Michael De Vlieger, OEIS A338209 HTML (A000120, A007318, A007814, A049773, A248025, A338191, A338209, A339024, A339607, A340138)
Michael De Vlieger, The Idaho Sequence (A347284), Simple Seq. Analysis, 2021. HTML (A000079, A000720, A000961, A001221, A002110, A002182, A004394, A006939, A025487, A055932, A067255, A089576, A347284, A347285, A347287, A347288, , A347354, A347355, A347356)
Michael De Vlieger, Constitutive Basics, Simple Seq. Analysis (2023), SA20230125. Abstract (A000040, A000961, A001221, A001694, A002808, A003586, A003592, A005117, A007947, A013929, A024619, A120944, A126706, A246547)
Michael De Vlieger, Constitutive Analysis of the EKG Sequence, Simple Seq. Analysis, 2021. HTML (A000040, A000079, A002473, A002808, A019434, A064413, A64420, A064421, A064424, A064425, A064654, A064664, A064953, A064954, A065955, A073734, A074177, A137847, A152458, A195376, A246547, A348470)
Michael De Vlieger, Simple theorems regarding A119435, Simple Seq. Analysis, 2022. HTML (A030101, A043569, A119435, A152948, A353035, A353036, A353037)
Michael De Vlieger, The Raise-the-Bar sequence, Simple Seq. Analysis (2023), SA20230111. Abstract (A002110, A007947, A339557)
Michael De Vlieger, A partition counting function restricted to distinct parts coprime to n, Simple Seq. Analysis (2023), SA20230124. Abstract (A002110, A003586, A003592, A005117, A007947, A010846, A036998, A076512, A109395, A120944, A126706, A243823, A244052, A246547, A307540)
Michael De Vlieger, Extending A019565 to create a permutation of natural numbers, Simple Seq. Analysis (2023), SA20230127. Abstract (A002110, A003586, A003592, A005117, A007947, A019565, A357910)
Michael De Vlieger, Constitutive Counting Functions for Primorials, Simple Seq. Analysis (2023), SA20230621. PDF (A000005, A000010, A000040, A000079, A002110, A005867, A010846, A027750, A038566, A133995, A162306, A243822, A243823, A272618, A272619, A363061, A363844)
Michael De Vlieger, Sequences relating Ω(n), ω(n), and rad(n), Simple Seq. Analysis (2023), SA20230711 doi:10.13140/RG.2.2.28633.08808 (A000040, A001221, A001222, A001694, A005117, A006881, A007947, A013929, A024619, A120944, A126706, A151821, A246547, A286708, A350352, A363919, A363923)
Michael De Vlieger, OEIS A367188, Simple Seq. Analysis (2023), SA20231111 doi:10.13140/RG.2.2.28633.08808 (A000040, A007054, A367188)
Michael De Vlieger, Minimally Tantus Numbers, Simple Seq. Analysis (2023) Vol. 1, Art. No. SA20231220. doi:10.13140/RG.2.2.17929.42084 (A000040, A001220, A001221, A001694, A005117, A039956, A056911, A065642, A081770, A120944, A126706, A246547, A286708, A360765, A360767, A360768, A361098, A366786, A366807, A366825)
Michael De Vlieger, Powers of Superprimorials, Simple Seq. Analysis (2023) Vol. 1, Art. No. SA20231227. doi:10.13140/RG.2.2.26660.04480 (A000079, A001220, A001221, A001694, A002110, A005117, A006939, A013929, A024619, A053669, A120944, A126706, A286708, A303606, A332785, A360765, A360768, A361098, A364999, A366825, A368507, A368508)
Michael De Vlieger, Relationship of complementary divisors rad(k) and k/rad(k), Simple Seq. Analysis (2024) Vol. 2, Art. No. SA20240207. doi:10.13140/RG.2.2.18645.81120 (A001597, A001694, A002110, A003557, A005117, A007947, A020639, A052485, A052486, A053669, A055932, A119288, A126706, A246547, A286708, A341645, A341646, A360765, A360767, A360768, A361098, A363082, A364702, A366250, A366825)
Michael De Vlieger, <a href="https://doi.org/10.13140/RG.2.2.17445.72169">Divisibility Based Lexically Earliest Sequence with Cellular Automaton Behavior</a>, Simple Seq. Analysis (2024), Vol 2. Art. No. SA20240314. (A000079, A001694, A002110, A003586, A005117, A006530, A007947, A008578, A019565, A033845, A052485, A067255, A087207, A126706, A246547, A332785, A369609)
Michael De Vlieger, “Tiger Stripe” Factors of Primorials, Simple Seq. Analysis (2024), Vol. 2, Art. No. SA20240417. doi:10.13140/RG.2.2.10066.36806 (A000720, A002110, A002182, A004394, A008336, A034386, A055773, A260850, A371906, A371907, A372000, A372007)
Michael De Vlieger, Thomas Scheuerle, Rémy Sigrist, N. J. A. Sloane, and Walter Trump, The Binary Two-Up Sequence, arXiv:2209.04108 [math.CO], 2022. (A000120, A029744, A090252, A121216, A252867, A347113, A353708, A353712, A354169, A354680, A354767, A354773, A354774, A354798, A355150)
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Mike de Vries, Graphical realizations of degree sequences, packing multiple colors and random graphs, Master's Thesis, Utrecht Univ. (Netherlands, 2023). PDF (A005840)
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Bishal Deb, A Bijective Counting of Dyck Paths by Catalan Numbers, Assam Acad. Math. (2022) Vol. 71, 33-41. PDF (A000108)
Bishal Deb and Alan D. Sokal, Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers, arXiv:2212.07232, Dec 14 2022.
Bishal Deb and Alan D. Sokal, Continued fractions for cycle-alternating permutations, arXiv:2304.06545 [math.CO], 2023. (A362109)
Matthew DeCross, Eli Chertkov, Megan Kohagen, and Michael Foss-Feig, Qubit-reuse compilation with mid-circuit measurement and reset, arXiv:2210.08039 [quant-ph], 2022. (A001511)
Colin Defant, Postorder Preimages, arXiv preprint arXiv:1604.01723, 2016
Colin Defant, Some Poset Pattern-Avoidance Problems Posed by Yakoubov, arXiv preprint arXiv:1608.03951, 2016
Colin Defant, Stack-Sorting Preimages of Permutation Classes, arXiv:1809.03123 [math.CO], 2018. (A000957, A001181, A006318, A049124, A071356, A091156, A091894, A100754, A114593, A165543)
Colin Defant, Counting 3-Stack-Sortable Permutations, arXiv:1903.09138 [math.CO], 2019. (A001263, A091894, A134664, A324916)
Colin Defant, Catalan Intervals and Uniquely Sorted Permutations, arXiv:1904.02627 [math.CO], 2019. (A000108, A000260, A001003*, A001700*, A001764*, A005700, A006605*, A056010*, A063020*, A071725*, A109081*, A122368*, A127632, A180874, A279569*, A307346, asterisks conjectural connections with the subject of the paper).
Colin Defant, Enumeration of Stack-Sorting Preimages via a Decomposition Lemma, arXiv:1904.02829 [math.CO], 2019. (A071356)
Colin Defant, Motzkin Intervals and Valid Hook Configurations, arXiv:1904.10451 [math.CO], 2019. (A001006, A151347)
Colin Defant, Proofs of Conjectures about Pattern-Avoiding Linear Extensions, arXiv:1905.02309 [math.CO], 2019. (A002054, A072547, A098156, A116914, A127531, A134465)
Colin Defant, Troupes, Cumulants, and Stack-Sorting, arXiv:2004.11367 [math.CO], 2020. (A000629, A001006, A006318, A008292, A008303, A028246, A055151, A080635, A101280, A126120)
Colin Defant, Highly sorted permutations and Bell numbers, ECA 1:1 (2021) Article S2R6. See also arXiv:2012.03869 [math.CO], 2020. (A000110)
Colin Defant, Meeting Covered Elements in ν-Tamari Lattices, arXiv:2104.03890 [math.CO], 2021. (A000127, A006190)
Colin Defant, Noah Kravitz, and Nathan Williams, The Ungar Games, arXiv:2302.06552 [math.CO], 2023. (A113228)
Colin Defant and James Propp, Quantifying Noninvertibility in Discrete Dynamical Systems, arXiv:2002.07144 [math.CO], 2020. (A000111, A092582, A217661)
Colin Defant and Nathan Williams, Coxeter Pop-Tsack Torsing, arXiv:2106.05471 [math.CO], 2021. (A075834)
Colin Defant and Kai Zheng, Stack-Sorting with Consecutive-Pattern-Avoiding Stacks, arXiv:2008.12297 [math.CO], 2020. (A000108, A001006, A001405, A002006, A002026, A011782, A033321, A036765, A036766, A036767)
Mario Defranco and Paul E. Gunnells, Hypergraph matrix models and generating functions, arXiv:2204.11361 [math.CO], 2022. (A005917)
D. Deford, Seating rearrangements on arbitrary graphs, 2013; PDF INVOLVE 7:6 (2014); doi:10.2140/involve.2014.7.787
Daryl Deford, Enumerating distinct chessboard tilings, (2014); Fib. Quart. 52 (5) (2014) 102.
Daryl Deford, Enumerating tilings of rectangels by squares with recurrence equations, J. Combin. 6 (3) (2015) 339-351 doi:10.4310/JOC.2015.v6.n3.a5
P.-O. Dehaye, Combinatorics of the lower order terms in the moment conjectures: the Riemann zeta function, PDF
Paul-Olivier DEHAYE, Engineering discovery in mathematics, SNSF CONSOLIDATOR GRANT RESEARCH PROPOSAL, 2014; http://user.math.uzh.ch/dehaye/ERC/ResearchPlan_Dehaye.pdf
Patrick Dehornoy, Emilie Tesson, Garside combinatorics for Thompson's monoid F+ and a hybrid with the braid monoid B_oo+, arXiv:1803.02639 [math.GR], 2018. (A005773)
Isaac DeJager, Madeleine Naquin, Frank Seidl, Colored Motzkin Paths of Higher Order, VERUM 2019. PDF (A000079, A000244, A000302, A000400, A000984, A001005, A001405, A002212, A002293, A002426, A005572, A005573, A005773, A006013, A007317, A023053, A026375, A026378, A026641, A033321, A033543, A036765, A047099, A054341, A059738, A064613, A071879, A076227, A081671, A089354, A098409, A098746, A117641, A121545, A122898, A126120, A126568, A126931, A126932, A126952, A127358, A127359, A127360, A133158, A141223, A159772, A185132, A227081, A303730)
Italo J. Dejter, A numeral system for the middle levels, Preprint 2014; http://home.coqui.net/dejterij/anumeral.pdf.
I. Dejter, <a href="http://home.coqui.net/dejterij/a_string.pdf">On a system of numeration applicable to the middle two levels of the Boolean lattice</a>
Italo J. Dejter, Dihedral-symmetry middle-levels problem via a Catalan system of numeration, preprint, 2015. (A000108, A239903, A007623, A009766)
Italo J. Dejter, Ordering the levels L_k and L_k+1 of B_2k+1, preprint, 2017.
Italo J. Dejter, The role of restricted growth strings in the two middle levels of the Boolean lattice B_2k+1, University of Puerto Rico, 2018. PDF (A000108, A009766, A076050, A239903)
Italo J. Dejter, Reinterpreting Mütze's Theorem via Natural Enumeration of Ordered Rooted Trees, arXiv:1911.02100 [math.CO], 2019. (A000108, A009766, A076050, A239903)
Italo J. Dejter, A numeral system for the middle-levels graphs, Elec. J. Graph Theory and Applications (2021) Vol. 9, No. 1, 137-156. doi:10.5614/ejgta.2021.9.1.13 (A000108, A009766, A239903)
Italo J. Dejter, Edge-supplementary arc factorizations of odd graphs, uniform 2-factors and Hamilton cycles, arXiv:2203.05326 [math.CO], 2022. (A000108, A239903)
Italo J. Dejter, Integer sequence of Dyck-path single changes, arXiv:2209.11122 [math.CO], 2022. (A000108, A239903)
Italo J. Dejter, A Dyck-word tree that controls all odd graphs, arXiv:2306.14249 [math.CO], 2023. (A000108, A239903)
Italo J. Dejter and Oscar Tomaiconza, Nonexistence of Efficient Dominating Sets in the Cayley Graphs Generated by Transposition Trees of Diameter 3, arXiv:1703.06540 [math.CO], 2017.
Lipika Deka, Peri Shereen, and Jeffrey Wand, A Course-based Undergraduate Research Experience (CURE) Pathway Model in Mathematics, PRIMUS (2022). doi:10.1080/10511970.2021.2023243
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