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  • In order to demonstrate some of the ways in which people have found the On-Line Encyclopedia of Integer Sequences or Superseeker useful, the following is a list of some papers and books that reference the database.

  • I have included several papers of my own - well, I too find the database very useful!

  • Suggestions for additional references will be welcomed. Send them to me at this address: njas@research.att.com

  • Since there are always problems because web pages change their names, or simply vanish, Simon Plouffe has made a cache of pdf versions of many of these references to serve as a backup (Nov 25 2004). The file names are same as the originals, but the suffixes have all been changed to "pdf".

  • If the database helped your work and you wish to reference it, the usual citation is something like this:
    N. J. A. Sloane, (2008), The On-Line Encyclopedia of Integer Sequences, http://www.research.att.com/~njas/sequences/.
    Or, since that often causes spacing problems with LaTeX (the line is too long and is hard to break):
    N. J. A. Sloane, (2008), The On-Line Encyclopedia of Integer Sequences, published electronically at http://www.research.att.com/~njas/sequences/.

  1. J. Abate and W. O. Whitt, Explicit M/G/1 Waiting-Time Distributions for a Class of Long-Tail Service-Time Distributions. Operations Research Letters, vol. 25, No. 1, August 1999, pp. 25-31. (PostScript, PDF).

  2. Ali Aberkane, James D. Currie and Narad Rampersad, "The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially", J. Integer Sequences, Volume 7, 2004, Article 04.2.7.

  3. Ackerman, Eyal; Barequet, Gill; Pinter, Ron Y. On the number of rectangulations of a planar point set. J. Combin. Theory Ser. A 113 (2006), no. 6, 1072-1091.

  4. Michal Adamaszek, Efficient enumeration of graceful permutations (2006), http://arxiv.org/abs/math/0608513.

  5. V. S. Adamchik, The multiple Gamma Function and Its Application to Computation of Series, The Ramanujan Journal, 9(3) (2005) 271-288

  6. F. Adorjan, Binary mapping of monotone sequences, the Aronson and cellular automaton functions, preprint, 2004.

  7. Aguiar, Marcelo; Bergeron, Nantel; Sottile, Frank, Combinatorial Hopf algebras and generalized Dehn-Sommerville relations. Compos. Math. 142 (2006), no. 1, 1-30.

  8. Aguiar, Marcelo; Loday, Jean-Louis, Quadri-algebras. J. Pure Appl. Algebra 191 (2004), no. 3, 205-221.

  9. Aguiar, Marcelo; Moreira, Walter, Combinatorics of the free Baxter algebra. Electron. J. Combin. 13 (2006), no. 1, Research Paper 17, 38 pp.

  10. Aguiar, Marcelo; Nyman, Kathryn; Orellana, Rosa, New results on the peak algebra. J. Algebraic Combin. 23 (2006), no. 2, 149-188.

  11. Marcelo Aguiar and Frank Sottile, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations (2002), http://arxiv.org/abs/math/0203282.

  12. Aguiar, Marcelo; Sottile, Frank, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations. Adv. Math. 191 (2005), no. 2, 225-275. [math.CO/0203282]

  13. Oswin Aichholzer, David Orden, Francisco Santos et al., On the Number of Pseudo-Triangulations of Certain Point Sets (2006), http://arxiv.org/abs/math/0601747.

  14. Aichholzer, Oswin; Hackl, Thomas; Huemer, Clemens; Hurtado, Ferran; Krasser, Hannes; Vogtenhuber, Birgit, On the number of plane geometric graphs. Graphs Combin. 23 (2007), suppl. 1, 67-84.

  15. Aichholzer, Oswin; Krasser, Hannes, Abstract order type extension and new results on the rectilinear crossing number. Comput. Geom. 36 (2007), no. 1, 2-15.

  16. O. Aichholzer, D. Orden, F. Santos and B. Speckmann, On the number of pseudo-triangulations of certain point sets, Proc 20th European Workshop Computational Geometry, EWGC04, p119-122, Sevilla, Spain, 2004

  17. Amir Akbary and Qiang Wang, A generalized Lucas sequence and permutation binomials, Proc. Amer. Math. Soc. 134 (2006), 15-22.

  18. A. Akbary and Z. Friggstad, Superabundant numbers and the Riemann hypothesis, Amer. Math. Monthly, 116 (2009), 273-275.

  19. S. Akiyama, S. Egami and Y. Tanigawa, Analytic continuation of multiple zeta-functions and their values at non-positive integers, Acta Arith., vol.98, no.2 (2001) 107-116.

  20. M. H. Albert, The fine structure of 321 avoiding permutations, Technical Report OUCS-2002-11, submitted to The Electronic Journal of Combinatorics.

  21. Albert, M. H.; Aldred, R. E. L.; Atkinson, M. D.; Handley, C. C.; Holton, D. A.; and McCaughan, D. J.; Sorting classes, Electron. J. Combin. 12 (2005), no. 1, Research Paper 31, 25 pp. 05A15

  22. Albert, M. H.; Atkinson, M. D. Sorting with a forklift. Permutation patterns (Otago, 2003). Electron. J. Combin. 9 (2002/03), no. 2, Research paper 9, 23 pp.

  23. M. H. Albert, M. D. Atkinson and M. Klazar, "The Enumeration of Simple Permutations", J. Integer Sequences, Volume 6, 2003, Article 03.4.4.

  24. Albert, M. H.; Elder, M.; Rechnitzer, A.; Westcott, P.; Zabrocki, M. On the Stanley-Wilf limit of 4231-avoiding permutations and a conjecture of Arratia. Adv. in Appl. Math. 36 (2006), no. 2, 96-105.

  25. Albert, M. H.; Linton, Steve; Ruskuc, Nik, The insertion encoding of permutations. Electron. J. Combin. 12 (2005), Research Paper 47, 31 pp.

  26. M. Alekseyev, Josephus problem, in "The Empire of Mathematics" (Russian journal), 2, 2000.

  27. Max A. Alekseyev, On the number of two-dimensional threshold functions (2006), http://arxiv.org/abs/math/0602511.

  28. Lubomir Alexandrov, Prime number logarithmic geometry on the plane (2002), http://arxiv.org/abs/math/0204167.

  29. L. Alexandrov, D. B. Baranov and P. Yotov, Polynomial splines interpolating prime series.

  30. Abbas Alhakim and Mufutau Akinwande, De Bruijn Graph Homomorphisms and Recursive De Bruijn Sequences (2008) http://arxiv.org/abs/0812.4012

  31. Iskander Aliev, Siegel's Lemma and Sum-Distinct Sets (2005), http://arxiv.org/abs/math/0503115.

  32. Giedrius Alkauskas, The moments of Minkowski question mark function: the dyadic period function (2007); http://arxiv.org/abs/0801.0051

  33. Giedrius Alkauskas, J\"orn Steuding, Statistical properties of the Calkin--Wilf tree: real an p-adic distribution (2007); http://arxiv.org/abs/0801.0054

  34. J.-P. Allouche, Finite automata and arithmetic Seminaire Lotharingien de Combinatoire, B30c (1993), 23 pp. [Formerly: Publ. I.R.M.A. Strasbourg, 1993, 1993/034, p. 1-18.]

  35. J.-P. Allouche, La recherche expérimentale en mathématiques.

  36. Jean-Paul Allouche, On a conjecture of Deutsch, Sagan and Wilson (2006), http://arxiv.org/abs/math/0606670.

  37. J.-P. Allouche, N. Rampersad and J. Shallit, On integer sequences whose first iterates are linear, Preprint, 2003.

  38. J.-P. Allouche and J. Shallit, The ring of k-regular sequences, Theoret. Comput. Sci. 98 (1992), 163-197.

  39. J.-P. Allouche and J. Shallit, The Ring of k-regular Sequences, II, Theoret. Comput. Sci. 307 (2003), 3-29.

  40. J.-P. Allouche, J. Shallit and G. Skordev, Self-generating sets, integers with missing blocks and substitutions, Discrete Math. 292 (2005) 1-15.

  41. Horst Alzer, Sharp inequalities for the harmonic numbers, Expo. Math 24 (2006) 385-388.

  42. Tewodros Amdeberhan and Richard P. Stanley, Polynomial Coefficient Enumeration (2008) http://arxiv.org/abs/0811.3652

  43. Junkyu An, Wilf conjecture (2008); http://arxiv.org/abs/0807.2150

  44. A. Andoni, D. Daniliuc, S. Khurshid and D. Marinov, Evaluating the "Small Scope Hypothesis" for Code, [.ps] [.pdf]. Submitted to the 11th ACM SIGSOFT International Symposium on the Foundations of Software Engineering (FSE 2003).

  45. Andrews, George E.; Sellers, James A. On Sloane's generalization of non-squashing stacks of boxes. Discrete Math. 307 (2007), no. 9-10, 1185-1190.

  46. Dorin Andrica and Ioan Tomescu, "On an Integer Sequence Related to a Product of Trigonometric Functions and Its Combinatorial Relevance", J. Integer Sequences, Volume 5, 2002, Article 02.2.4.

  47. E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris.

  48. David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, "Sloping Binary Numbers: A New Sequence Related to the Binary Numbers", J. Integer Sequences, Volume 8, 2005, Article 05.3.6.

  49. David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing (arXiv: math.NT/0611293).

  50. D. Applegate, E. M. Rains and N. J. A. Sloane, On Asymmetric Coverings and Covering Numbers, J. Combinatorial Designs, 11 (2003), 218-222.

  51. Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B., Euler circuits and DNA sequencing by hybridization. Combinatorial molecular biology. Discrete Appl. Math. 104 (2000), no. 1-3, 63-96.

  52. R. Arratia, L. Goldstein and B. Langholz, Frequency Matching in Logistic Regression, Rejective Sampling and ...

  53. Andrei Asinowski, Toufik Mansour, Dyck paths with coloured ascents (2007), http://arxiv.org/abs/math/0701733.

  54. Andrei Asinowski, Toufik Mansour, Separable d-permutations and guillotine partitions (2008); http://arxiv.org/abs/0803.3414

  55. Ricardo Astudillo, "On a Class of Thue-Morse Type Sequences", J. Integer Sequences, Volume 6, 2003, Article 03.4.2.

  56. Asveld, Peter R. J. Generating all permutations by context-free grammars in Chomsky normal form. Theoret. Comput. Sci. 354 (2006), no. 1, 118-130.

  57. Jean-Christophe Aval, Multivariate Fuss-Catalan numbers, arXiv:0711.0906v1, Discrete Math., 308 (2008), 4660-4669.

  58. S. Avgustinovich and S. Kitaev, On uniquely k-determined permutations, Discr. Math., 308 (2008), 1500-1507.

  59. Arvind Ayyer, The Half-Perimeter Generating Function of Gated and Wicketed Ferrers diagrams (2007), http://arxiv.org/abs/0710.5133.

  60. Arvind Ayyer, Towards a human proof of Gessel's conjecture (2009) http://arxiv.org/abs/0902.2329

  61. Mohammad K. Azarian, A Generalization of the Climbing Stairs Problem II, Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, pp. 12-17.

  62. Azarian, Mohammad K., On the hyperfactorial function, hypertriangular function and the discriminants of certain polynomials. Int. J. Pure Appl. Math. 36 (2007), 251-257.

  63. M. Baake and U. Grimm, Coordination sequences for root lattices and related graphs, Zeit. f. Kristallographie, 212 (1997), 253-256.

  64. Michael Baake, Uwe Grimm, Manuela Heuer et al., Coincidence rotations of the root lattice A_4 (2007), http://arxiv.org/abs/0709.1341.

  65. Michael Baake, Manuela Heuer, Robert V. Moody, Similar sublattices of the root lattice A_4 (2007), http://arxiv.org/abs/math/0702448.

  66. M. Baake and R. V. Moody, Similarity submodules and root systems in four dimensions, Canadian Journal of Mathematics (1999), Vol 51 No 6, pp. 1258-1276.

  67. Michael Baake and Natascha Neumaerker, A note on the relation between fixed point and orbit count sequences (2008) http://arxiv.org/abs/0812.4354

  68. Michael Baake , John A.G. Roberts , Alfred Weiss, Periodic orbits of linear endomorphisms on the 2-torus and its lattices (2008); http://arxiv.org/abs/0808.3489

  69. L. Babai and P. J. Cameron, Automorphisms and enumeration of switching classes of tournaments, The Electronic Journal of Combinatorics, Volume 7(1), 2000, R#38.

  70. Silvia Bacchelli, Luca Ferrari, Renzo Pinzani et al., Mixed succession rules: the commutative case (2008); http://arxiv.org/abs/0806.0799

  71. Eric Bach and Lev Borisov, Absorption Probabilities for the Two-Barrier Quantum Walk (2009) http://arxiv.org/abs/0901.4349

  72. Roland Bacher, Fair Triangulations (2007), http://arxiv.org/abs/0710.0960.

  73. Roland Bacher, On generating series of complementary planar trees (2004), http://arxiv.org/abs/math/0409050.

  74. Roland Bacher, Philippe Flajolet, Pseudo-factorials, elliptic functions, and continued fractions (2009) http://arxiv.org/abs/0901.1379

  75. R. Bacher and D. Garber, Spindle configurations of skew lines, Geom. Topol. 11 (2007), 1049-1081.

  76. Bacher, Roland; Schaeffer, Gilles, On generating series of coloured planar trees. Sém. Lothar. Combin. 55 (2005/06), Art. B55e, 20 pp.

  77. Dave Bacon, Andrew M. Childs, Wim van Dam, Optimal measurements for the dihedral hidden subgroup problem (2005), http://arxiv.org/abs/quant-ph/0501044.

  78. C. Badea, On some criteria of irrationality for series of positive rationals : a survey, in Actes ds rencontres Arithmetiques de Caen (a la memoire de Roger Apery), 2-3 juin 1995, 1-14.

  79. D. H. Bailey, Book Reviews, Math. Comp. 65 (1996), 877-895.

  80. D. H. Bailey and J. M. Borwein, Experimental mathematics: recent developments and future outlook, pp. 51-66 of B. Engquist and W. Schmid, editors, Mathematics Unlimited - 2001 and Beyond, 2 vols., Springer-Verlag, 2001 [ps or pdf].

  81. D. H. Bailey and J. M. Borwein, Experimantal mathematics: examples, methods and implications, Notices Amer. Math. Soc. 52 (2005), 502-514.

  82. David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891. "This paper contains several proofs of identities that we first conjectured on the basis of numerical investigation, hugely facilitated by access to Sloane's wonderful sequence finder."

  83. R. A. Bailey and P. J. Cameron, Latin squares: Equivalents and equivalence, Draft, May 2003.

  84. R. Baillie, D. Borwein and J. M. Borwein, Surprising sync sums and integrals, Amer. Math. Monthly, 115 (2008), 888-901.

  85. Valentin Bakoev, Algorithmic approach to counting certain types of m-ary partitions, Discrete Mathematics, Vol 275 (2004), pp. 17-41.

  86. B. Balamohan, A. Kuznetsov and Stephen Tanny, "On the Behavior of a Variant of Hofstadter's Q-Sequence", J. Integer Sequences, Volume 10, 2007, Article 07.7.1.

  87. B. Balamohan, Zhiqiang Li, Stephen Tanny, A Combinatorial Interpretation for Certain Relatives of the Conolly Sequence (2008); http://arxiv.org/abs/0801.1097

  88. Barry Balof and Jacob Menashe, "Semiorders and Riordan Numbers", J. Integer Sequences, Volume 10, 2007, Article 07.7.6.

  89. Giorgio Balzarotti and Paolo P. Lava, Le sequenze di numeri interi, Divagazioni matematiche tra curiosit�, tradizione e invenzioni, Hoepli, 2008. Link to book: http://libreriarizzoli.corriere.it/libro/balzarotti_giorgio_lava_paolo_p-le_sequenze_di_numeri_interi.aspx?ean=9788820341107

  90. C. Banderier, Classifying ECO-Systems and Random Walks, Algorithms Project, INRIA Rocquencourt, September 27, 1999.

  91. C. Banderier, M. Bousquet-Mélou, A. Denise, P. Flajolet, D. Gardy and D. Gouyou-Beauchamps, Generating Functions for Generating Trees, Discrete Mathematics 246(1-3), March 2002, pp. 29-55.

  92. C. Banderier, J.-M. Fédou, C. Garcia and D. Merlini, Algebraic succession rules and Lattice paths with an infinite set of jumps, Preprint (2003).

  93. C. Banderier and P. Flajolet, Basic Analytic Combinatorics of Directed Lattice Paths, Theoretical Computer Science Vol. 281. Issue 1-2, pp. 37-80, Jun. 2002, (special volume dedicated to M. Nivat).

  94. Cyril Banderier, Philippe Flajolet, Daniele Gardy et al., Generating functions for generating trees (2004), http://arxiv.org/abs/math/0411250.

  95. C. Banderier and S. Schwer, Why Delannoy numbers?, 5th International Conference on Lattice Path Combinatorics and Discrete Distributions, 2002.

  96. R. B. Banks, Slicing Pizzas, Racing Turtles, and Further Adventues in Applied Mathematics, Princeton Univ. Press, 1999.

  97. William D. Banks and Florian Luca, "Concatenations with Binary Recurrent Sequences", J. Integer Sequences, Volume 8, 2005, Article 05.1.3.

  98. H. Barcelo and R. Laubenbacher, Perspectives on A-homotopy theory and its applications, Discr. Math., 298 (2005), 39-61.

  99. Barcelo, Hélène; Sagan, Bruce E.; and Sundaram, Sheila, Counting permutations by congruence class of major index. Adv. in Appl. Math. 39 (2007), no. 2, 269-281.

  100. E. Barcucci, L. Belanger and S. Brlek, On Tribonacci Sequences, to appear in Fibonacci Quarterly, 2002.

  101. Barcucci, Elena; Bernini, Antonio; Ferrari, Luca; Poneti, Maddalena, A distributive lattice structure connecting Dyck paths, noncrossing partitions and 312-avoiding permutations. Order 22 (2005), no. 4, 311-328 (2006).

  102. E. Barcucci, A. Bernini, M. Poneti, From Fibonacci to Catalan permutations (2006), http://arxiv.org/abs/math/0612277.

  103. E. Barcucci, A. Del Lungo, A. Frosini and S. Rinaldi, A technology for reverse-engineering a combinatorial problem from a rational generating function. Adv. in Appl. Math. 26 (2001), no. 2, 129-153.

  104. E. Barcucci, A. Del Lungo, E. Pergola and R. Pinzani, From Motzkin to Catalan permutations, Discrete Mathematics, 217 (2000), 33-49.

  105. E. Barcucci, A. Frosini and S. Rinaldi, On directed-convex polyominoes in a rectangle, Discr. Math., 298 (2005). 62-78.

  106. E. Barcucci, E. Pergola, R. Pinzani and S. Rinaldi, ECO method and hill-free generalized Motzkin paths, Seminaire Lotharingien de Combinatoire, B46b (2001), 14 pp.

  107. E. Barcucci, E. Pergola, R. Pinzani and S. Rinaldi, A bijection for some paths on the slit plane. Adv. in Appl. Math. 26 (2001), no. 2, 89-96.

  108. Barcucci, E.; Rinaldi, S., Some linear recurrences and their combinatorial interpretation by means of regular languages. Theoret. Comput. Sci. 255 (2001), no. 1-2, 679-686.

  109. Baril, J. L.; Pallo, J. M. The phagocyte lattice of Dyck words. Order 23 (2006), no. 2-3, 97-107.

  110. M. Barnabei, F. Bonetti, and M. Silimbani, Restricted involutions and Motzkin paths (2008) http://arxiv.org/abs/0812.0463

  111. M. Barnabei, F. Bonetti, and M. Silimbani, The distribution of consecutive patterns of length 3 in 3\textrm{-}1\textrm{-}2 -avoiding permutations (2009) http://arxiv.org/abs/0904.0079

  112. M. Barnabei, F.Bonetti, and M.Silimbani, Combinatorial properties of the numbers of tableaux of bounded height (2008); http://arxiv.org/abs/0803.2112

  113. Paul Barry, "A Catalan Transform and Related Transformations on Integer Sequences", J. Integer Sequences, Volume 8, 2005, Article 05.4.5.

  114. Paul Barry, "On Integer-Sequence-Based Constructions of Generalized Pascal Triangles", J. Integer Sequences, Volume 9, 2006, Article 06.2.4.

  115. Paul Barry, "On a Family of Generalized Pascal Triangles Defined by Exponential Riordan Arrays", J. Integer Sequences, Volume 10, 2007, Article 07.3.5.

  116. Paul Barry, "Some Observations on the Lah and Laguerre Transforms of Integer Sequences", J. Integer Sequences, Volume 10, 2007, Article 07.4.6.

  117. Paul Barry, "On Integer Sequences Associated With the Cyclic and Complete Graphs", J. Integer Sequences, Volume 10, 2007, Article 07.4.8.

  118. Paul Barry and Patrick Fitzpatrick, "On a One-Parameter Family of Riordan Arrays and the Weight Distribution of MDS Codes", J. Integer Sequences, Volume 10, 2007, Article 07.9.8.

  119. Kim Baskerville, Peter Grassberger and Maya Paczuski, Graph animals, subgraph sampling and motif search in large networks (2007), http://arxiv.org/abs/q-bio.MN/0702029.

  120. Kim Baskerville, Peter Grassberger and Maya Paczuski, Graph animals, subgraph sampling and motif search in large networks (2007), http://arxiv.org/abs/q-bio/0702029.

  121. Bassetti, Federico; Diaconis, Persi, Examples comparing importance sampling and the Metropolis algorithm. Illinois J. Math. 50 (2006), no. 1-4, 67-91 .

  122. F. Bassino, Cyril Nicaud, Pascal Weil, Random generation of finitely generated subgroups of a free group (2007), http://arxiv.org/abs/0707.3185.

  123. M. T. Batchelor, J. de Gier and B. Nienhuis, The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions, LANL cond-mat/0101385

  124. C. Bauer, Triangular monoids and an analog to the derived sequence of a solvable group. Internat. J. Algebra Comput. 10 (2000), no. 3, 309-321.

  125. Michel Bauer and Olivier Golinelli, "On the Kernel of Tree Incidence Matrices", J. Integer Sequences, Volume 3, 2000, Article 00.1.4.

  126. M. Bauer and O. Golinelli, Random incidence matrices: Moments of the spectral density, J. Stat. Phys. 103, 301-307 (2001).

  127. Karin Baur and Nolan Wallach, Nice Parabolic Subalgebras of Reductive Lie Algebras (2004), http://arxiv.org/abs/math/0409295.

  128. Andrew M. Baxter and Ron Umble, Periodic Orbits of Billiards on an Equilateral Triangle, Amer. Math. Monthly, 115 (No. 6, 2008), 479-491.

  129. Cecilia Bebeacua, Toufik Mansour, Alexander Postnikov et al., On the X-rays of permutations (2005), http://arxiv.org/abs/math/0506334.

  130. Andrea Bedini, Sergio Caracciolo, Andrea Sportiello, Hyperforests on the Complete Hypergraph by Grassmann Integral Representation (2008); http://arxiv.org/abs/0802.1506

  131. Hacene Belbachir, Farid Bencherif, Sums of products of generalized Fibonacci and Lucas numbers (2007), http://arxiv.org/abs/0708.2347.

  132. Hacène Belbachir, Farid Bencherif and László Szalay, "Unimodality of Certain Sequences Connected With Binomial Coefficients", J. Integer Sequences, Volume 10, 2007, Article 07.2.3.

  133. Hacene Belbachir, Sadek Bouroubi, Abdelkader Khelladi, Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution (2007), http://arxiv.org/abs/0708.2195.

  134. George I. Bell, Solving Triangular Peg Solitaire [arXiv:math/0703865v4]

  135. George I. Bell, Diamond Solitaire (2007), http://arxiv.org/abs/0711.2749.

  136. George I. Bell, Daniel S. Hirschberg and Pablo Guerrero-Garcia, The minimum size required of a solitaire army (2006), http://arxiv.org/abs/math/0612612.

  137. Lourdes Benito, Solutions of the problem of Erd\"os-Sierpi\'nski: sigma(n)=sigma(n+1), (2007), http://arxiv.org/abs/0707.2190.

  138. A. Benjamin, J. Neer, D. Otero and J. A. Sellers, A Probabilistic View of Certain Weighted Fibonacci Sums, to appear in Fibonacci Quarterly.

  139. Moussa Benoumhani, "A Sequence of Binomial Coefficients Related to Lucas and Fibonacci Numbers", J. Integer Sequences, Volume 6, 2003, Article 03.2.1.

  140. Moussa Benoumhani, "The Number of Topologies on a Finite Set", J. Integer Sequences, Volume 9, 2006, Article 06.2.6.

  141. Allan Berele and Bridget Eileen Tenner, Doubly Symmetric Functions (2009) http://arxiv.org/abs/0903.5306

  142. N. Bergeron, F. Descouens, M. Zabrocki, A Filtration of (q,t)-Catalan numbers (2008); http://arxiv.org/abs/0806.3046

  143. F. Bergeron and F. Gascon, "Counting Young Tableaux of Bounded Height", J. Integer Sequences, Volume 3, 2000, Article 00.1.7.

  144. F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998.

  145. F. Bergeron and S. Plouffe, Computing the Generating Function of a Series Given its First Few Terms, Experimental Mathematics , Volume 1, (1992), 307-312. (ps.gz, pdf )

  146. Bergeron, N.; Hohlweg, C.; Zabrocki, M., Posets related to the connectivity set of Coxeter groups. J. Algebra 303 (2006), no. 2, 831-846.

  147. N. Bergeron, S. Mykytiuk, F. Sottile and S. J. van Willigenburg, Shifted quasi-symmetric functions and the Hopf algebra of peak functions, Discrete Math., 256 (2002), 57-66. [math.CO/9904105]

  148. Nantel Bergeron, Mike Zabrocki, The Hopf algebras of symmetric functions and quasisymmetric functions in non-commutative variables are free and cofree (2005), http://arxiv.org/abs/math/0509265.

  149. G. Berkolaiko and J.P. Keating, Two-point spectral correlations for star graphs, J. Phys. A 32 (1999), 7827-7841.

  150. F. R. Bernhart, Catalan, Motzkin and Riordan numbers, Discr. Math., 204 (1999) 73-112.

  151. Antonio Bernini, Filippo Disanto, Renzo Pinzani and Simone Rinaldi, "Permutations Defining Convex Permutominoes", J. Integer Sequences, Volume 10, 2007, Article 07.9.7.

  152. Antonio Bernini and Elisa Pergola, "Enumerating Permutations Avoiding More Than Three Babson-Steingr�msson Patterns", J. Integer Sequences, Volume 10, 2007, Article 07.6.4.

  153. M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Algebra and Its Applications, vol. 226-228, pp. 57-72, 1995. Erratum: Linear Algebra Appl. 320 (2000), no. 1-3, 210.

  154. M. Bernstein, N. J. A. Sloane and P. E. Wright, On Sublattices of the Hexagonal Lattice, Discrete Math., 170 (1997) 29-39.

  155. Berstel, Jean, Growth of repetition-free words--a review. Theoret. Comput. Sci. 340 (2005), no. 2, 280-290.

  156. Bessenrodt, Christine; Olsson, J. B., A note on Cartan matrices for symmetric groups. Arch. Math. (Basel) 81 (2003), no. 5, 497-504.

  157. A. Betten and D. Betten, Linear Spaces with at Most 12 Points, Journal of Combinatorial Designs 7 (1999), 119-145.

  158. D. Betten, Kalahari and the Sequence "Sloane No. 377", Annals Discrete Math., 37, 51-58, 1988.

  159. Robert J. Betts, "Using Bonse's Inequality to Find Upper Bounds on Prime Gaps", J. Integer Sequences, Volume 10, 2007, Article 07.3.8.

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