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"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]

"... 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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  1. D'Andrea, Carlos; Hare, Kevin G. On the height of the Sylvester resultant. Experiment. Math. 13 (2004), no. 3, 331-341.
  2. Alma D'Aniello, A de Luca, A De Luca, On Christoffel and standard words and their derivatives, arXiv preprint arXiv:1602.03231, 2016
  3. 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.
  4. R. D'Mello, Marshall Hall's Conjecture and Gaps Between Integer Points on Mordell Elliptic Curves, arXiv preprint arXiv:1410.0078, 2014.
  5. 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)
  6. C. M. da Fonseca, Unifying some Pell and Fibonacci identities, Applied Mathematics and Computation, Volume 236, 1 June 2014, Pages 41-42,
  7. CM da Fonseca, ML Glasser, V Kowalenko, Basic trigonometric power sums with applications, arXiv preprint arXiv:1601.07839, 2016
  8. 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)
  9. 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
  10. Ilda P.F. da Silva, Recursivity and geometry of the hypercube, Linear Algebra and its Applications, Volume 397, 1 March 2005, Pages 223-233.
  11. Poly H. da Silva, Arash Jamshidpey, Simon Tavaré, Random derangements and the Ewens Sampling Formula, arXiv:2006.04840 [math.PR], 2020. (A038205)
  12. 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.
  13. 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
  14. S. Daboul, J. Mangaldan, M. Z. Spivey and P. Taylor, The Lah Numbers and the nth Derivative of exp(1/x),
  15. Adrian Dacko, <a href="">V-monotone independence</a>, arXiv:1901.06342 [math.FA], 2019. (A001147, A306228)
  16. Björn Dagerman, High-Level Decision Making in Adversarial Environments using Behavior Trees and Monte Carlo Tree Search, Master's Thesis, Kungliga Tekniska Högskolan, 2017.
  17. G Dahl, TA Haufmann, Zero-one completely positive matrices and the A(R,S) classes, Preprint, 2016;
  18. Paul Dahlenberg and T. Edgar, Consecutive factorial base Niven numbers, Fib. Q., 56:2 (2018), 163-166.
  19. 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)
  20. 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.
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  22. 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)
  23. Cristina Dalfó, From subKautz digraphs to cyclic Kautz digraphs, arXiv:1709.01882 [math.CO] 2017.
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  27. 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)
  28. 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
  29. D. Daly and L. Pudwell, Pattern avoidance in rook monoids, 2013;
  30. David Damanik, Local symmetries in the period-doubling sequence, Discrete Applied Mathematics, Volume 100, Issues 1-2, 15 March 2000, Pages 115-121.
  31. 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)
  32. Celeste Damiani, Paul Martin, Eric C. Rowell, Generalisations of Hecke algebras from Loop Braid Groups, arXiv:2008.04840 [math.GT], 2020. (A032443)
  33. H. M. Damm, Prüfziffernsysteme über Quasigruppen, Diplomarbeit Univ. Marburg, 1998.
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  36. Thierry Dana-Picard:, Parametric integrals and Catalan numbers, Int. J. Math. Ed. Sci. Tech. 36 (4), 410-414.
  37. Thierry Dana-Picard, "Sequences of Definite Integrals, Factorials and Double Factorials", J. Integer Sequences, Volume 8, 2005, Article 05.4.6.
  38. 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
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  40. 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.
  41. 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
  42. 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
  43. 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."]
  44. 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 ( 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.
  45. Lars Eirik Danielsen, On Self-Dual Quantum Codes, Graphs and Boolean Functions (2005), arXiv:quant-ph/0503236.
  46. Lars Eirik Danielsen, Classification of Hermitian Self-Dual Additive Codes over GF(9), Arxiv preprint arXiv:1106.2428, 2011
  47. Danielsen, Lars Eirik; Gulliver, T. Aaron; Parker, Matthew G. Aperiodic propagation criteria for Boolean functions. Inform. and Comput. 204 (2006), no. 5, 741-770.
  48. 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.
  49. 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.
  50. Lars Eirik Danielsen and Matthew G. Parker, Edge Local Complementation and Equivalence of Binary Linear Codes (2007), arXiv:0710.2243.
  51. 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
  52. Lars Eirik Danielsen and Matthew G. Parker, Directed Graph Representation of Half-Rate Additive Codes over GF(4) (2009) arXiv:0902.3883
  53. 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.
  54. 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]
  55. 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)
  56. 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.
  57. Cecile Dartyge, Florian Luca and Pantelimon Stnic, On digit sums of multiples of an integer, Journal of Number Theory, 129 (2009), 2820-2830.
  58. 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)
  59. 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
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  62. G. Dattoli, E. Di Palma, E. Sabia, Cardan Polynomials, Chebyshev Exponents, Ultra-Radicals and Generalized Imaginary Units, Advances in Applied Clifford Algebras, 2014
  63. G Dattoli, K Górska, A Horzela, KA Penson, E Sabia, Theory of relativistic heat polynomials and one-sided Lévy distributions, 2016;
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  66. D. E. Davenport, L. W. Shapiro and L. C. Woodson, The Double Riordan Group, The Electronic Journal of Combinatorics, 18(2) (2012), #P33.
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  68. J. H. Davenport, International Symposium on Symbolic and Algebraic Computation (ISSAC 2014), 2014;
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