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"We must mention that an invaluable resource while dealing with integer sequences is the Online Encyclopedia of Integer Sequences." [Anandaroop Ray et al., 2018]

"We are grateful to the OEIS Foundation Inc. for maintaining an extremely useful online encyclopedia of integer sequences" [Sten A. Reijers, 2019]

"The On-Line Encyclopedia of Integer Sequences OEIS is an incredibly valuable tool in mathematical research. As a ‘fingerprint database for theorems’ it allows to identify interconnections and relations between theorems throughout mathematics. In this spirit, FindStat is a collaborative online database of combinatorial statistics on combinatorial collections and of combinatorial maps between such collections." [Martin Rubey and Christian Stump, 2019]

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  1. Sunil Kumar R and K Balakrishnan, Betweenness Centrality of Cartesian Product of Graphs, arXiv preprint arXiv:1603.04258, 2016
  2. Julius F. T. Rabago, On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang's Conjecturem arXiv preprint arXiv:1604.06659, 2016
  3. D. G. Radcliffe, The growth of digital sums of powers of two,, Preprint 2015. Also arXiv preprint arXiv:1605.02839, 2016.
  4. Adityanarayanan Radhakrishnan, Liam Solus, Caroline Uhler, Counting Markov Equivalence Classes by Number of Immoralities, arXiv preprint arXiv:1611.07493v2, 2016. Official publication:
  5. Y. Raekow, A taxonomy of non-cooperatively computable functions, Presented at WEWoRC 2011.
  6. Paul Raff, arXiv:0809.2551 Spanning Trees in Grid Graphs
  7. Kari Ragnarsson and Bridget Eileen Tenner, Obtainable Sizes of Topologies on Finite Sets (2008); arXiv:0802.2550; Journal of Combinatorial Theory, Series A 117 (2010) 138-151 doi:10.1016/j.jcta.2009.05.002
  8. Kari Ragnarsson and Bridget Eileen Tenner, Homotopy Type of the Boolean Complex of a Coxeter System (2008); arXiv:0806.0906; Advances in Mathematics 222 (2009) 409-430 doi:10.1016/j.aim.2009.05.007
  9. Ragnarsson, Kári; Tenner, Bridget Eileen, Homology of the Boolean complex. J. Algebraic Combin. 34 (2011), no. 4, 617-639.
  10. Marco Ragni and Andreas Klein, Predicting Numbers: An AI Approach to Solving Number Series, Lecture Notes in Computer Science, 2011, Volume 7006, Advances in Artificial Intelligence, Pages 255-259; doi:10.1007/978-3-642-24455-1_24.
  11. M. Ragni, G. Strube, Cognitive Complexity and Analogies in Transfer Learning, KI-Künstliche Intelligenz, 2013; doi:10.1007/s13218-013-0288-6
  12. M. Rahmani, The Akiyama-Tanigawa matrix and related combinatorial identities, Linear Algebra and its Applications 438 (2013) 219-230.
  13. Jay Rahn, The Hurrian Pieces, ca. 1350 BCE: Part Two, From Numbered Strings to Tuned Strings;
  14. Jay Rahn, Coordinating Analyses of Tunings with Analyses of Pieces, Fourth International Conference on Analytical Approaches to World Music (2016)
  15. E. M. Rains and N. J. A. Sloane, "On Cayley's Enumeration of Alkanes (or 4-Valent Trees)", J. Integer Sequences, Volume 2, 1999, Article 99.1.1.
  16. E. M. Rains, N. J. A. Sloane and J. Stufken, The Lattice of N-Run Orthogonal Arrays, J. Statist. Planning Inference, 102 (2002), 477-500, doi:10.1016/S0378-3758(01)00119-7
  17. C. Raissi and J. Pei, Towards Bounding Sequential Patterns,
  18. A. Rajan, A. Rao, R. V. Rao, H. S. Jamadagni, Gaussian Approximation Using Integer Sequences, Advances in Signal Processing and Intelligent Recognition Systems, Advances in Intelligent Systems and Computing, Volume 264, 2014, pp. 213-224.
  19. Arulalan Rajan, R. Vittal Rao, Ashok Rao and H. S. Jamadagni, Fibonacci Sequence, Recurrence Relations, Discrete Probability Distributions and Linear Convolution, Arxiv preprint arXiv:1205.5398, 2012
  20. Aayush Rajasekaran, Using Automata Theory to Solve Problems in Additive Number Theory, MS thesis, University of Waterloo, 2018. PDF (A000045, A003662, A003849, A006995, A020330, A175468)
  21. Aayush Rajasekaran, Narad Rampersad, Jeffrey Shallit, Overpals, Underlaps, and Underpals, In: Brlek S., Dolce F., Reutenauer C., Vandomme É. (eds) Combinatorics on Words, WORDS 2017, Lecture Notes in Computer Science, vol 10432. doi:10.1007/978-3-319-66396-8_3
  22. Aayush Rajasekaran, Jeffrey Shallit, and Tim Smith, Sums of Palindromes: an Approach via Automata, arXiv:1706.10206 [cs.FL], 2017.
  23. Aayush Rajasekaran, Jeffrey Shallit, Tim Smith, Additive Number Theory via Automata Theory, Theory of Computing Systems (2019) 1–26. doi:10.1007/s00224-019-09929-9 (A000069, A006995)
  24. Rakshith Rajashekar, Marco Di Renzo, K.V.S. Hari, L. Hanzo, A generalised transmit and receive diversity condition for feedback assisted MIMO systems: theory & applications in full-duplex spatial modulation</a>, 2017. PDF (A013595)
  25. Rajkovic, Predrag M.; Petkovic, Marko D.; Barry, Paul, The Hankel transform of the sum of consecutive generalized Catalan numbers. Integral Transforms Spec. Funct. 18 (2007), no. 3-4, 285-296.
  26. Paul M. Rakotomamonjy, Sandrataniaina R. Andriantsoa, Arthur Randrianarivony, Crossings over permutations avoiding some pairs of three length-patterns, arXiv:1910.13809 [math.CO], 2019. (A076791, A299927)
  27. Paul M. Rakotomamonjy, Sandrataniaina R. Andriantsoa, Arthur Randrianarivony, Crossings over Permutations Avoiding Some Pairs of Patterns of Length Three, J. Int. Seq., Vol. 23 (2020), Article 20.6.3. HTML (A007318, A076791, A299927)
  28. Dimbinaina Ralaivaosaona, Jean Bernoulli Ravelomanana, Stephan Wagner, Counting Planar Tanglegrams, LIPIcs Proceedings of Analysis of Algorithms 2018, Vol. 110. Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, 2018. doi:10.4230/LIPIcs.AofA.2018.32 (A257887, A258620)
  29. Franck Ramaharo, Enumerating the states of the twist knot, arXiv:1712.06543 [math.CO], 2017. (A000124, A001477, A005408, A014206, A064999)
  30. Franck Ramaharo, An approximate Jerusalem square whose side equals a Pell number, arXiv:1801.00466v1 [math.CO], 1 Jan 2018
  31. Franck Ramaharo, Statistics on some classes of knot shadows, arXiv:1802.07701 [math.CO], 2018. (A000012, A000244, A001477, A001787, A002696, A004310, A004311, A004319, A005408, A005843, A006566, A007318, A008585, A008586, A014206, A027471, A028326, A034870, A036289, A038208, A054556, A062741, A064999, A069835, A080855, A120908, A130883, A139272, A139548, A140066, A143689, A152947, A167667, A212697, A258935, A295077)
  32. Franck Ramaharo, A generating polynomial for the pretzel knot. arXiv:1805.10680 [math.CO], 2018. (A000290, A000312, A000984, A006566, A007318, A010054, A023531, A038208, A062741, A073424, A083374, A097805, A104002, A130883, A152947, A154272, A178208, A295077, A299989, A300184, A300451)
  33. Franck Ramaharo, A one-variable bracket polynomial for some Turk's head knots, arXiv:1807.05256 [math.CO], 2018. (A004146, A060867, A099920, A122076, A300184, A300192, A300454)
  34. Franck Ramaharo, A generating polynomial for the two-bridge knot with Conway's notation C(n,r), arXiv:1902.08989 [math.CO], 2019. (A000124, A007318, A014206, A077028, A233583, A294619, A300401, A300453, A300454, A321125, A321126, A321127)
  35. Franck Ramaharo, Fanja Rakotondrajao, A state enumeration of the foil knot, arXiv:1712.04026 [math.CO], 2017. (A000004, A000012, A000124, A001477)
  36. Franck Ramaharo, Note on sequences A123192, A137396 and A300453, arXiv:1911.04528 [math.CO], 2019. (A123192, A137396, A300453)
  37. Franck Ramaharo, A bracket polynomial for 2-tangle shadows, arXiv:2002.06672 [math.CO], 2020. (A007318, A034870, A038208, A129185, A139548, A299989, A300184, A300192, A300453)
  38. Sanjay Ramassamy, Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons, arXiv:1706.03386 [math.CO], 2017.
  39. Sanjay Ramassamy, Modular periodicity of the Euler numbers and a sequence by Arnold, arXiv:1712.08666 [math.CO], 2017. (A108039)
  40. Sanjaye Ramgoolam, Permutation Invariant Gaussian Matrix Models, arXiv:1809.07559 [hep-th], 2018. (A052171)
  41. José L. Ramírez, Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions, An. Şt. Univ. Ovidius Constanţa, vol. 23 (2), 2015, 201-212. (A000045, A000032)
  42. José L. Ramírez, The Pascal Rhombus and the Generalized Grand Motzkin Paths, arXiv:1511.04577 [math.CO], 2015.
  43. J. L. Ramírez, G. N. Rubiano, Properties and Generalizations of the Fibonacci Word Fractal, The Mathematica J., Vol. 16 (2014).
  44. J. L. Ramirez, G. N. Rubiano and R. de Castro, A Generalization of the Fibonacci Word Fractal and the Fibonacci Snowflake, arXiv preprint arXiv:1212.1368, 2012.
  45. Jose L. Ramirez, M Shattuck, A (p, q)-Analogue of the r-Whitney-Lah Numbers, Journal of Integer Sequences, 19, 2016, #16.5.6.
  46. José L. Ramirez, Mark Shattuck, Generalized Jacobsthal numbers and restricted k-ary words, Pure Mathematics and Applications (2019) Vol. 28, Issue 1, 91-108. doi:10.1515/puma-2015-0034 (A000045)
  47. J. L. Ramirez and V. F. Sirvent, Incomplete Tribonacci Numbers and Polynomials, Journal of Integer Sequences, Vol. 17, 2014, #14.4.2.
  48. J. L. Ramírez, V. F. Sirvent, A Generalization of the k-Bonacci Sequence from Riordan Arrays, The Electronic Journal of Combinatorics, 22(1) (2015), #P1.38
  49. Philippe Ramirez, Stéphane Legendre, Revisiting asymmetric marriage rules, in Soc. Netw. 52 (2017), pp. 261-269. doi:10.1016/j.socnet.2017.09.004
  50. Tejas R. Rao, An open source software package for primality testing of numbers of the form p2^n + 1, with no constraints on the relative sizes of p and 2^n, 2018. doi:10.7287/peerj.preprints.27396v1 (A046067)
  51. Narad Rampersad, Manon Stipulanti, The Formal Inverse of the Period-Doubling Sequence, arXiv:1807.11899 [math.CO], 2018. (A079523, A096268, A121539, A317542, A317543, A317544)
  52. Narad Rampersad and Elise Vaslet, "On Highly Repetitive and Power Free Words", Journal of Integer Sequences, Vol. 16 (2013), #13.2.7.
  53. J. Ramsden and H. Sharipov, Inverse problems associated with perfect cuboids, Arxiv preprint arXiv:1207.6764, 2012
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  55. J. Ramsden and R, Sharipov, On two algebraic parametrizations for rational solutions of the cuboid equations, Arxiv preprint arXiv:1208.2587, 2012
  56. J. Randon-Furling, S. Redner, Residence Time Near an Absorbing Set, arXiv:1806.09028 [cond-mat.stat-mech], 2018. (A000629)
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  58. Jaime Rangel-Mondragon, Polyominoes and Related Families, The Mathematica Journal, 9:3 (2005), 609-640.
  59. J. Rangel-Mondragon, Selected Themes in Computational Non-Euclidean Geometry: Part 1, The Mathematica Journal 15 (2013);
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  61. Rankin, Stuart; Flint, Ortho; Schermann, John, Enumerating the prime alternating knots. II. J. Knot Theory Ramifications 13 (2004), no. 1, 101-149.
  62. B. S. Rao, Heptagonal numbers in the Pell sequence and diophantine equations 2x^2 = y^2(5y-3)^2 +- 2, Fib. Quarterly, 43 (2005), 194-201.
  63. B. S. Rao, Heptagonal numbers in the associated Pell sequence ..., Fib. Quarterly, 43 (2005), 302-306.
  64. Mohammed A. Raouf, Fazirulhisyam Hashim, Jiun Terng Liew, Kamal Ali Alezabi, Pseudorandom sequence contention algorithm for IEEE 802.11ah based internet of things network, PLoS ONE (2020) Vol. 15, No. 8, e0237386. doi:10.1371/journal.pone.0237386 (A004146, A052955)
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  66. Theophanes E. Raptis, Unitary Cellular Automata and Convolution Algebras, arXiv preprint arXiv:1608.05259, 2016
  67. Theophanes E. Raptis, Finite Information Numbers through the Inductive Combinatorial Hierarchy. arXiv:1805.06301 [physics.gen-ph], 2018. (A000120)
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  74. S. Rawat, B. Nautiyal, A. Sah and S. Pundir, Power Summation---A Computer Dimension, International Journal of Computer Applications (0975 - 8887), Volume 58- No.6, November 2012;
  75. Anandaroop Ray, Sam Kaplan, John Washbourne, Uwe Albertin, Low frequency full waveform seismic inversion within a tree based Bayesian framework, in Geophysical Journal International (2018), Vol. 212, Issue 1, pp. 522-542. doi:10.1093/gji/ggx428 See also PDF - "We must mention that an invaluable resource while dealing with integer sequences is the Online Encyclopedia of Integer Sequences".
  76. S. G. Rayaguru, M. K. Sahukar, G. K. Panda, Markov equation with components of some binary recurrent sequences, Notes on Number Theory and Discrete Mathematics (2020) Vol. 26, No. 3, 149–159. doi:10.7546/nntdm.2020.26.3.149–159 (A002559)
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