CiteBi

"... each entry in the OEIS chronicles a mathematical theorem, and the integer sequence associated to the entry is that theorem's fingerprint. The OEIS is arguably the most established fingerprint database for theorems to date." [Sara C. Billey and Bridget E. Tenner, 2013]

"Preliminary work using [OEIS] assisted in the identification of the closed formulae in the proposition." [R. Biswal et al., 2015]

"In creating this table, we discovered, by way of the OEIS database, that the generating function for \mu = (5,2) is identical to the generating function for the number of so-called metacyclic p-groups for prime p." [Jonathan Bloom and Nathan McNew, 2019]

"...at least 39 entries in Sloane's OEIS were found containing sequences whose generating functions satisfy Riccati equations, including some entries related to the families of indecomposable combinatorial objects, moments of probability distributions, chord diagrams, Feynman diagrams, etc." [Olivier Bodini et al., 2018]

"OEIS is an amazing instrumental resource, ... a model both for curation and for moderation." [J. M. Borwein, 2016]

"Experimental data combined with an OEIS search leads us to the following conjecture...." [Benjamin Braun and Fu Liu, 2018]

About this page

This is part of the series of OEIS Wiki pages that list works citing the OEIS.
Additions to these pages are welcomed.
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Works are arranged in alphabetical order by author's last name.
Works with the same set of authors are arranged by date, starting with the oldest.
This section lists works in which the first author's name begins with Bi to Bz.
The full list of sections is: A Ba Bi Ca Ci D E F G H I J K L M N O P Q R Sa Sl T U V W X Y Z.
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References

M. Bialecki, Z. Czechowski, Random Domino Automaton: Modeling Macroscopic Properties by Means of Microscopic Rules, in Achievements, History and Challenges in Geophysics, GeoPlanet: Earth and Planetary Sciences, 2014, pp. 223-241; doi:10.1007/978-3-319-07599-0_13
Min Bian, Olivia X. M. Yao, Yan Zhang, Alina F. Y. Zhao, Proof of a conjecture of Z. W. Sun, Contributions to Discrete Mathematics (2019) Vol. 14, No. 1, 214-221. doi:10.11575/cdm.v14i1.62700 (A295112)
M. P. Bianchi, H.-J. Bockenhauer, J. Hromkovic and L. Keller, Online Coloring of Bipartite Graphs With and Without Advice, PDF, Algorithmica 70 (2014) 92-111 doi:10.1007/s00453-013-9819-7.
Philippe Biane (LIGM), Laver tables and combinatorics, arXiv:1810.00548 [math.CO], 2018. (A018819)
P. Biane, P. Dehornoy, Dual Garside structure of braids and free cumulants of products, arXiv preprint arXiv:1407.1604, 2014
Mark Jaybee S. Biano, Bernadette S. Estoque, Lynden Aaron D. Galera, Maria Elena S. Rulloda, Daisy Ann A. Disu, On Weird Numbers, DMMMSU-CAS Science Monitor (2016-2017) Vol. 15 No. 2, 157-162. PDF (A006037, A258250)
Allan Bickle, Structural results on maximal k-degenerate graphs, Discuss. Math. Graph Theory (2021) Vol. 32, No. 4, 659-676. doi:10.7151/dmgt.1637 (A004273, A113127, A296515)
Allan Bickle, 2-Tone coloring of joins and products of graphs, Congr. Numer. (2013) Vol. 217, 171-190. PDF (A351120)
Allan Bickle and Ben Phillips, t-Tone Colorings of Graphs, Utilitas Math (2018) Vol. 106, 85-102. PDF (A351120)
Allan Bickle, Zhongyuan Che, Wiener indices of maximal k-degenerate graphs, arXiv:1908.09202 [math.CO], 2019. (A000292, A002623, A014125, A122046, A122047)
Bidkhori, Hoda; Sullivant, Seth Eulerian-Catalan numbers. Electron. J. Combin. 18 (2011), no. 1, Paper 187, 10 pp.
Therese Biedl, Ahmad Biniaz, Robert Cummings, Anna Lubiw, Florin Manea, Dirk Nowotka, Jeffrey Shallit, Rollercoasters and Caterpillars, arXiv:1801.08565 [cs.CG], 2018. (A277556)
Yonah Biers-Ariel, A New Quantity Counted by OEIS Sequence A006012, arXiv:1706.07064 [math.CO], 2017.
Yonah Biers-Ariel, "The Number of Permutations Avoiding a Set of Generalized Permutation Patterns", Journal of Integer Sequences, Vol. 20 (2017), Article 17.8.3. PDF
Yonah Biers-Ariel, A Generalization of the 'Raboter' Operation, arXiv:1902.06354 [math.CO], 2019. (A318921)
Yonah Biers-Ariel, Flexible Schemes and Beyond: Experimental Enumeration of Pattern Avoidance Classes, Ph. D. Dissertation, Rutgers University (2020). Preview (A006012)
Bigeni, Ange, Combinatorial study of Dellac configurations and q-extended normalized median Genocchi numbers. Electron. J. Combin. 21 (2014), no. 2, Paper 2.32, 27 pp.
Bigeni, Ange. "A bijection between the irreducible k-shapes and the surjective pistols of height k-1." arXiv preprint arXiv:1402.1383 (2014). Also Discrete Math., 338 (2015), 1432-1448.
Ange Bigeni, Combinatorial interpretations of the Kreweras triangle in terms of subset tuples, arXiv:1712.01929 [math.CO], 2017. (A000366, A005439, A110501)
Ange Bigeni, A generalization of the Kreweras triangle through the universal sl2 weight system, arXiv:1712.05475 [math.CO], 2017. (A000366, A005439, A110501)
Ange Bigeni, A generalization of the Kreweras triangle through the universal sl_2 weight system, Journal of Combinatorial Theory, Series A (2019) Vol. 161, 309-326. doi:10.1016/j.jcta.2018.08.005 (A000366, A005439, A110501)
Ange Bigeni, Evgeny Feigin, Poincaré polynomials of the degenerate flag varieties of type C, arXiv:1804.10804 [math.CO], 2018. (A005773, A098279)
Ange Bigeni, Evgeny Feigin, Symmetric Dellac configurations, arXiv:1808.04275 [math.CO], 2018. Also "Symmetric Dellac configurations and symplectic/orthogonal flag varieties", Linear Algebra and its Applications (2019) Vol. 573, 54-79. doi:10.1016/j.laa.2019.03.015 (A000366, A000657, A002832, A098278, A098279)
Oliver Biggar, Mohammad Zamani, Iman Shames, A principled analysis of Behavior Trees and their generalisations, arXiv:2008.11906 [cs.AI], 2020. (A006318)
G. Bighin, Q. P. Ho, M. Lemeshko, and T. V. Tscherbul, Diagrammatic Monte Carlo for electronic correlation in molecules: high-order many-body perturbation theory with low scaling, arXiv:2203.12666 [cond-mat.str-el], 2022.
Frédéric Bihan, Alicia Dickenstein, and Jens Forsgård, Sparse systems with high local multiplicity, LAMA (Lab. Math.) Univ. Savoie Mont Blanc (France, 2023). PDF
Frédéric Bihan, Francisco Santos, Pierre-Jean Spaenlehauer, A Polyhedral Method for Sparse Systems with many Positive Solutions, arXiv:1804.05683 [math.CO], 2018. (A008288, A102413, A110110)
Colin Bijaoui, Hans U. Boden, Beckham Myers, Robert Osburn, William Rushworth, Aaron Tronsgard, Shaoyang Zhou, Generalized Fishburn numbers and torus knots, arXiv:2002.00635 [math.NT], 2020. (A022493)
G. Bilgici, Generalized order-k Pell-Padovan-like numbers by matrix methods, Pure and Applied Mathematics Journal, 2013; 2(6): 174-178; Published online November 30, 2013 (http://www.sciencepublishinggroup.com/j/pamj); doi:10.11648/j.pamj.20130206.11
Göksal Bilgici, Tuncay Deniz Şentürk, Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers, Annales Mathematicae Silesianae (2019) Vol. 33, 55-65. doi:10.2478/amsil-2019-0005 (A003462)
Artur Bille, Victor Buchstaber, Simon Coste, Satoshi Kuriki, and Evgeny Spodarev, Random eigenvalues of graphenes and the triangulation of plane, arXiv:2306.01462 [math.SP], 2023. (A002893)
Louis J. Billera, Sara C. Billey, Vasu Tewari, Boolean product polynomials and Schur-positivity, arXiv:1806.02943 [math.CO], 2018. (A000522, A034997)
L. J. Billera, J. T. Moore, C. D. Moraites, Y. Wang and K. Williams, Maximal unbalanced families, arXiv preprint arXiv:1209.2309, 2012
S. C. Billey, K. Burdzy and B. E. Sagan, Permutations with given peak set, Arxiv preprint arXiv:1209.0693, 2012 and J. Int. Seq. 16 (2013) #13.6.1
S. Billey, A. Crites, Rational smoothness and affine Schubert varieties of type A. Proc. FPSAC 2011. p 171-182
S. Billey, A. Crites, doi:10.1016/j.jalgebra.2012.03.019 Pattern characterization of rationally smooth affine Schubert varieties of type A. J. Alg. 361 (2012) 107-133
Billey, Sara; Fahrbach, Matthew; Talmage, Alan doi:10.1080/10586458.2015.1051193 Coefficients and roots of peak polynomials</a>. Exp. Math. 25, No. 2, 165-175 (2016).
S. C. Billey, M. Konvalinka, and F. E. Matsen, On the enumeration of tanglegrams and tangled chains, arXiv:1507.04976 (2015).
Sara Billey, Matjaž Konvalinka, Frederick A. Matsen IV, On trees, tanglegrams, and tangled chains, hal-02173394 [math.CO], 2020. Abstract (A000123, A001190, A258620)
Sara C. Billey, M Konvalinka, TK Petersen, W Slofstra, B. E. Tenner, Parabolic double cosets in Coxeter groups, El. J. Combin. 25 (1) (2018) P.23. See also hal-02173393 [math.CO], 2020. Abstract (A000670, A120733)
Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson, Tableaux posets and the fake degrees of coinvariant algebras, arXiv:1809.07386 [math.CO], 2018. (A008302, A318806)
Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson, Asymptotic normality of the major index on standard tableaux, arXiv:1905.00975 [math.CO], 2019. (A002457, A008642, A266755)
Sara C. Billey, Peter R. W. McNamara, The contributions of Stanley to the fabric of symmetric and quasisymmetric functions, preprint arXiv:1505.01115 (A005118)
Sara C. Billey, Brendon Rhoades, Vasu Tewari, Boolean product polynomials, Schur positivity, and Chern plethysm, arXiv:1902.11165 [math.CO], 2019. (A005130, A306397)
Sara C. Billey and Bridget E. Tenner, Fingerprint databases for theorems, arXiv:1304.3866, (2013); Notices Amer. Math. Soc., 60 (No. 6, Sept. 2013), 1034-1039. [... each entry in the OEIS chronicles a mathematical theorem, and the integer sequence associated to the entry is that theorem's fingerprint. The OEIS is arguably the most established fingerprint database for theorems to date.]
Sara C. Billey and Jordan E. Weaver, Criteria for smoothness of Positroid varieties via pattern avoidance, Johnson graphs, and spirographs, arXiv:2207.06508 [math.CO], 2022. (A349413, A349456, A349457, A349458, A353131, A353132)
Stefano Bilotta, Variable-length Non-overlapping Codes, arXiv preprint arXiv:1605.03785, 2016
S. Bilotta, E. Grazzini, E. Pergola, Enumeration of Two Particular Sets of Minimal Permutations, J. Int. Seq. 18 (2015) 15.10.2
S. Bilotta, E. Pergola and R. Pinzani, A new approach to cross-bifix-free sets, Arxiv preprint arXiv:1112.3168, 2011
S. Bilotta, E. Pergola, R. Pinzani, S. Rinaldi, Recurrence relations versus succession rules, arXiv preprint arXiv:1301.2967, 2013
S. Bilotta, E. Pergola, R. Pinzani, S. Rinaldi, Recurrence Relations, Succession Rules, and the Positivity Problem, in Language and Automata Theory and Applications, 9th International Conference, LATA 2015, Nice, France, March 2-6, 2015, Proceedings, Pages 499-510, Lecture Notes Comp. Sci. Vol. 8977.
Yu. Bilu, P. Habegger, L. Kühne, Effective bounds for singular units. arXiv:1805.07167 [math.NT], 2018. (A002182, A004394)
Yuri Bilu, Florian Luca, Joris Nieuwveld, Jöel Ouaknine, and James Worrell, On the p-adic zeros of the Tribonacci sequence, arXiv:2210.16959 [math.NT], 2022. (A000073)
Yuri Bilu, Diego Marques, Alain Togbé, Generalized Cullen Numbers in Linear Recurrence Sequences, arXiv:1806.09441 [math.NT], 2018. (A002064)
Vladislav Bína, Jiří Přibil, Note on enumeration of labeled split graphs, Comment. Math. Univ. Carolin. 56,2 (2015) 133 –137. (A047864)
Aram Bingham, Commutative n-ary Arithmetic, University of New Orleans Theses and Dissertations, Paper 1959, 2015. (A003215)
Aram Bingham, Ternary arithmetic, factorization, and the class number one problem, arXiv:2002.02059 [math.NT], 2020. (A014556)
Aram Bingham, Özlem Uğurlu, Sects and lattice paths over the Lagrangian Grassmannian, arXiv:1903.07229 [math.CO], 2019. (A083886)
Aram Bingham, Özlem Uğurlu, Sects, rooks, pyramids, partitions and paths for type DIII clans, arXiv:1907.08875 [math.CO], 2019. (A000085, A000902)
Aram Bingham and Özlem Uğurlu, DIII clan combinatorics for the orthogonal Grassmannian, Australasian J. of Combinatorics (2021) Vol. 79, No. 1, 55-86. PDF (A000085, A000902)
Yan Bingze, Li Qiong, Mao Haokun, and Chen Nan, An efficient hybrid hash based privacy amplification algorithm for quantum key distribution, arXiv:2105.13678 [quant-ph], 2021. (A000668)
R. S. Bird, On building cyclic and shared structures in Haskell, Formal Aspects of Computing, 24 (2012), 609-621; doi:10.1007/s00165-012-0243-6
S. Birdsong and G. Hetyei, A Gray Code for the Shelling Types of the Boundary of a Hypercube, Arxiv preprint arXiv:1111.4710, 2011; Birdsong, Sarah; Hetyei, Gábor. A Gray code for the shelling types of the boundary of a hypercube. Discrete Math. 313 (2013), no. 3, 258--268. MR2995390.
Daniel Birmajer, Juan B. Gil, David S. Kenepp, and Michael D. Weiner, Restricted generating trees for weak orderings, arXiv:2108.04302 [math.CO], 2021. (A000670, A001003, A002061, A002064, A020543, A052709, A226316, A276921)
D Birmajer, JB Gil, PRW McNamara, MD Weiner, Enumeration of colored Dyck paths via partial Bell polynomials, arXiv preprint arXiv:1602.03550, 2016.
Daniel Birmajer, Juan B. Gil, Jordan O. Tirrell, and Michael D. Weiner, Pattern-avoiding stabilized-interval-free permutations, arXiv:2306.03155 [math.CO], 2023. (A000012, A011782, A028310, A062318, A182522, A363433
D. Birmajer, J. B. Gil, M. D. Weiner, Linear recurrence sequences via Bell polynomials, arXiv preprint arXiv:1405.7727, 2014
Daniel Birmajer, Juan B. Gil, Michael D. Weiner, Linear recurrence sequences with indices in arithmetic progression and their sums, preprint arXiv:1505.06339, 2015. (A001353, A003500, A000073, A001644, A000931, A001608, A007420, A001610, A073728)
D. Birmajer, J. B. Gil, M. D. Weiner, Linear Recurrence Sequences and Their Convolutions via Bell Polynomials, Journal of Integer Sequences, 18 (2015), #151.1.2.
D. Birmajer, J. B. Gil, M. D. Weiner, Colored partitions of a convex polygon by noncrossing diagonals, arXiv preprint arXiv:1503.05242, 2015, Discr. Math. 340 (2017) 563 doi:10.1016/j.disc.2016.12.006
D. Birmajer, J. B. Gil, M. D. Weiner, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL19/Gil/gil6.html">n the Enumeration of Restricted Words over a Finite Alphabet </a>, J. Int. Seq. 19 (2016) # 16.1.3
Daniel Birmajer, Juan B. Gil, Michael D. Weiner, (an + b)-color compositions, arXiv:1707.07798 [math.CO], 2017.
Daniel Birmajer, Juan B. Gil, Michael D. Weiner, Bounce statistics for rational lattice paths, arXiv:1707.09918 [math.CO], 2017.
Daniel Birmajer, Juan B. Gil, Michael D. Weiner, On factor-free Dyck words with half-integer slope, arXiv:1804.11244 [math.CO], 2018. (A274052)
R. Bisdorff, J.-L. Marichal, Counting non-isomorphic maximal independent sets of the n-cycle graph (2007), arXiv:math/0701647 and JIS 11 (2008) 08.5.7.
Jamie Bishop, Abigail Bozarth, Rebekah Kuss, and Benjamin Peet, The Abundancy Index and Feebly Amicable Numbers, arXiv:2104.11366 [math.NT], 2021. (A007539)
R. Biswal, V. Chari, L. Schneider, S. Viswanath, Demazure Flags, Chebyshev polynomials, Partial and Mock theta functions, arXiv preprint arXiv:1502.05322, 2015 ["Preliminary work using [OEIS] assisted in the identification of the closed formulae in the proposition."]
Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023. (A003183, A005612)
Md. Shamim Hossain Biswas, MSH Biswas Cryptosystem, International Journal of Scientific and Research Publications (2019), see p. 12, Appendix B. doi:10.29322/IJSRP.29.12.2019
Rony A. Bitan and Michael M. Schein, On the flat cohomology of binary norm forms, arXiv:1702.05080 [math.NT], 2017.
Björner, Anders. "Positive Sum Systems", in Bruno Benedetti, Emanuele Delucchi, and Luca Moci, editors, Combinatorial Methods in Topology and Algebra. Springer International Publishing, 2015. 157-171.
A. Bjorner and R. P. Stanley, A Combinatorial Miscellany in ``New directions in mathematics, Cambridge Univ. Press, to appear. Preprint 1998.
Hadley Black, Implementation of Internal and Semi-External Hierarchical Clustering, DIMACS REU Final Report, 2016; https://users.soe.ucsc.edu/~hablack/unpublished_works/DIMACSreport.pdf
Simon R. Blackburn, John R. Britnell, Mark Wildon, The probability that a pair of elements of a finite group are conjugate. arXiv:1108.1784 [math.GR], 2011 and doi:10.1112/jlms/jds022 J. Lond. Math. Soc. II Ser. 86 (3) (2012) 755-778
Bryce Emerson Blackham, Subtraction Games: Range and Strict Periodicity, masters thesis, 2018. PDF. (A003849, A007538)
David Blackman, Sebastiano Vigna, Scrambled Linear Pseudorandom Number Generators. arXiv:1805.01407 [cs.DS], 2018. (A052955)
I. V. Blagouchine, Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results, The Ramanujan Journal, 2014, doi:10.1007/s11139-013-9528-5.
Iaroslav V. Blagouchine and Marc-Antoine Coppo, A note on some constants related to the zeta-function and their relationship with the Gregory coefficients, arXiv:1703.08601 [math.NT], 2017.
Iaroslav V. Blagouchine, Three notes on Ser's and Hasse's representation for the zeta-functions, Integers (2018) 18A, Article #A3. Abstract (A002195, A002196, A002206, A002207, A002657, A002790, A193546, (A194506))
Matthew Blair, Rigoberto Flórez, and Antara Mukherjee, Matrices in the Hosoya triangle, arXiv:1808.05278 [math.CO], 2018. (A001629, A006733, A058071, A284115, A284129, A284126, A284130, A284127, A284131, A284128)
Matthew Blair, Rigoberto Flórez, and Antara Mukherjee, Honeycombs in the Pascal triangle and beyond, arXiv:2203.13205 [math.HO], 2022. (A001629, A001871, A002001, A001906, A054444, A091044, A141678, A197649, A229580)
Blanchard, Peter Floodstrand, Pseudo-arithmetic sets and Ramsey theory. J. Combin. Theory Ser. A 106 (2004), no. 1, 49-57.
Blanchet-Sadri, Francine. Algorithmic combinatorics on partial words. Chapman & Hall/CRC, Boca Raton, FL, 2008. ii+385 pp. ISBN: 978-1-4200-6092-8; 1-4200-6092-9 MR2384993 (2009f:68142)
F. Blanchet-Sadri, Kun Chen, Kenneth Hawes, Dyck Words, Lattice Paths, and Abelian Borders, arXiv:1708.06461 [cs.FL], 2017.
Jonathan Blanchette, Robert Laganière, A Curious Link Between Prime Numbers, the Maundy Cake Problem and Parallel Sorting, arXiv:1910.11749 [cs.DS], 2019. (A006022)
Blanchini, Franco; Lepschy, Antonio; Miani, Stefano; Viaro, Umberto, Characterization of PID and lead/lag compensators satisfying given H_\infty specifications. IEEE Trans. Automat. Control 49 (2004), no. 5, 736-740.
R. Blanco, Complexity of Villamayor's algorithm in the monomial case (2007), arXiv:0704.3416.
P. Blasiak, G. Dattoli , A. Horzela et al., Motzkin numbers, central trinomial coefficients and hybrid polynomials (2008); arXiv:0802.0075 and JIS 11 (2008) 08.1.1
Blasiak, Pawel; Flajolet, Philippe Combinatorial models of creation-annihilation. Sém. Lothar. Combin. 65 (2010/12), Art. B65c, 78 pp.
P. Blasiak, A. Horzela, K. A. Penson, G. H. E. Duchamp and A. I. Solomon, arXiv:quant-ph/0501155 Boson Normal Ordering via Substitutions and Sheffer-Type Polynomials; Physics Letters A, Volume 338, Issue 2, 25 April 2005, Pages 108-116.
P. Blasiak, K. A. Penson and A. I. Solomon, arXiv:quant-ph/0212072 The Boson Normal Ordering Problem and Generalized Bell Numbers
P. Blasiak, K. A. Penson and A. I. Solomon, arXiv:quant-ph/0303030 Dobinski-type relations and the Log-normal distribution
P. Blasiak, K. A. Penson, A. I. Solomon, The general boson normal ordering problem, Physics Letters A, Volume 309, Issues 3-4, 24 March 2003, Pages 198-205; arXiv:quant-ph/0402027.
P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G. E. H. Duchamp, arXiv:quant-ph/0405103 Combinatorial field theories via boson normal ordering]
P. Blasiak, K. A. Penson, A. I. Solomon, A. Horzela and G. E. H. Duchamp, doi:10.1063/1.1904161 Some useful combinatorial formulas for bosonic operators, J. Math. Phys. 46, 052110 (2005) (6 pages).
A. Blass, N. Dobrinen, D. Raghavan, The next best thing to a P-point, arXiv preprint arXiv:1308.3790, 2013.
Collin Bleak, Peter J. Cameron, Feyishayo Olukoya, Automorphisms of shift spaces and the Higman-Thomspon groups: the one-sided case, arXiv:2004.08478 [math.GR], 2020. (A248905)
Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Water capacity of Dyck paths, Advances in Applied Mathematics (2019) Vol. 112, 101945. doi:10.1016/j.aam.2019.101945 (A000108)
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik doi:10.1007/s11139-014-9666-4 Counting corners in partitions</a>. Ramanujan J. 39, No. 1, 201-224 (2016).
Blecher, Aubrey, Charlotte Brennan, Arnold Knopfmacher, and Toufik Mansour. "The perimeter of words." Discrete Mathematics 340, no. 10 (2017): 2456-2465. doi:10.1016/j.disc.2017.06.003
Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Toufik Mansour, and Mark Shattuck, Pushes in permutations, J. Comb. Math. Comb. Comp. (2020) Vol. 115, 77-95. [https://www.researchgate.net/profile/Mark-Shattuck
Aubrey Blecher and Arnold Knopfmacher, Prefixes of bargraph paths, Aequationes Math. (2023). doi:10.1007/s00010-023-01002-8 (A136029)
Aubrey Blecher, T Mansour, AO Munagi, Some Parity Statistics in Integer Partitions, Bulletin of the Polish Academy of Sciences. Mathematics, Vol. 63, No. 2, 2015.
D. Blessing, E. Insko, K. Johnson, C. Mauretour, On (t,r) Broadcast Domination Numbers of Grids, arXiv preprint arXiv:1401.2499, 2014.
Joakim Blikstad, On the longest common subsequence of Thue-Morse words, arXiv:1904.00248 [cs.DM], 2019. (A297618, A320847)
Nathan Bliss, J Verschelde, Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods, arXiv preprint arXiv:1606.05563, 2016.
Natasha Blitvić, Vicente I. Fernandez, A Combinatorial Model for Heterogeneous Microbial Growth, arXiv:1901.04080 [math.CO], 2019. (A005686)
Natasha Blitvić, Einar Steingrímsson, Permutations, moments, measures, arXiv:2001.00280 [math.CO], 2020. (A000108, A000142, A000166, A000364, A001003, A001147, A052186)
Andreas B. G. Blobel, An Asymptotic Form of the Generating Function Product_{k = 1..oo}(1+x^k/k), arXiv:1904.07808 [math.CO], 2019. (A000009)
Andreas B. G. Blobel, On convolution powers of 1/x, arXiv:2203.09519 [math.CO], 2022. (A000178, A265607)
Bloch, Ethan D., The angle defect for odd-dimensional simplicial manifolds. Discrete Comput. Geom. 35 (2006), no. 2, 311-328.
S. Bloch, P. Vanhove, The elliptic dilogarithm for the sunset graph, arXiv preprint arXiv:1309.5865, 2013
Aart Blokhuis, Xiwang Cao, Wun-Seng Chou, Xiang-Dong Hou, On the roots of certain Dickson polynomials, Journal of Number Theory, Vol. 188, July 2018, Pages 229-246. doi:10.1016/j.jnt.2018.01.003
Lars Blomberg, Scott R. Shannon, N. J. A. Sloane, Graphical Enumeration and Stained Glass Windows, 1: Rectangular Grids, (2020). PDF Also arXiv:2009.07918 and See also Number Theory and Combinatorics: A Collection in Honor of the Mathematics of Ronald Graham (2022), 66-97. (A007678, A159065, A288187, A306302, A331452, A331453, A331755, A331757, A331763, A331766, A333282, A334701, A335701)
Alexander Taveira Blomenhofer, Unique powers-of-forms decompositions from simple Gram spectrahedra, arXiv:2305.06860 [math.AG], 2023. See p. 12.
V. Blondel, Structured Numbers. Properties of a hierarchy of internal operations on binary trees, Acta Informatica, 35, pp. 1-15, 1998. (ps, pdf)
A. Blondin Massé, S. Brlek, S. Labbé, M. Mendès France, Fibonacci Snowflakes, Ann. Sci. Math. Quebec 35 (2011) no 2, 141-152
J. Bloom, A, Burstein, Egge triples and unbalanced Wilf-equivalence, arXiv preprint arXiv:1410.0230, 2014
J. Bloom and S. Elizalde, Pattern avoidance in matchings and partitions, arXiv preprint arXiv:1211.3442, 2012.
Jonathan Bloom, Nathan McNew, Counting pattern-avoiding integer partitions, arXiv:1908.03953 [math.CO], 2019. (A000005, A000012, A000027, A001399, A001400, A004526, A033638, A117142, A117143, A136185, A265250, A309097, A309098, A309099, A309194, A320226) In creating this table, we discovered, by way of the OEIS database, that the generating function for μ = (5,2) is identical to the generating function for the number of so-called metacyclic p-groups for prime p
J. Bloom, V. Vatter, Two Vignettes On Full Rook Placements, arXiv preprint arXiv:1310.6073, 2013.
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Marthe Bonamy, Łukasz Kowalik, Jesper Nederlof, Michał Pilipczuk, Arkadiusz Socała, Marcin Wrochna, On Directed Feedback Vertex Set parameterized by treewidth, arXiv:1707.01470 [cs.DS], 2017.
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A. Bonato and B. Yang, Graph searching and related problems, PDF
Marco Bonatto, Michael Kinyon, David Stanovský, Petr Vojtěchovský, Involutive Latin solutions of the Yang-Baxter equation, arXiv:1910.02148 [math.GR], 2019. (A290887)
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Nicolas Bonichon and Pierre-Jean Morel, Baxter d-permutations and other pattern avoiding classes, arXiv:2202.12677 [math.CO], 2022. (A001181) Also, several “OEIS coincidence” lead us to conjecture other bijections.
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C. H. M. Boor, Aliyu Dogara Mohammed, Halilu Usman Ibrabim, Availability of Physical Infrastructure and Instructional Materials for Teaching and Learning School Library in Adult Education in Giwa Local Government Area of Kaduna State, Int'l J. of Educational Benchmark (2018) Vol. 9, No. 1, 105-116. PDF
A. C. Borah, Kandarpa Tamuly, Number of Symmetrical objects in n-dimensional space with different layers, International Journal of Applied Engineering Research (2019) Vol. 14, No. 16, 3489-3493. PDF (A005917, A022521, A220902)
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Jacopo Borga, Raul Penaguiao, The feasible regions for consecutive patterns of pattern avoiding permutations, Institut für Mathematik, Universität Zürich (Switzerland, 2020). PDF (A214015)
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Michael Borinsky, Gerald V. Dunne, and Max Meynig, Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: φ³ QFT in 6 Dimensions, arXiv:2104.00593 [hep-th], 2021. (A051862)
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Jan-Peter Börnsen, Anton E. M. van de Ven, Tangent Developable Orbit Space of an Octupole, arXiv:1807.04817 [hep-th], 2018. (A000421)
Matvey Borodin, Eric Chen, Aidan Duncan, Tanya Khovanova, Boyan Litchev, Jiahe Liu, Veronika Moroz, Matthew Qian, Rohith Raghavan, Garima Rastogi, and Michael Voigt, The Stable Matching Problem and Sudoku, arXiv:2108.02654 [math.HO], 2021. (A069124, A107739, A185141)
Matvey Borodin, Eric Chen, Aidan Duncan, Tanya Khovanova, Boyan Litchev, Jiahe Liu, Veronika Moroz, Matthew Qian, Rohith Raghavan, Garima Rastogi, and Michael Voigt, Sequences of the Stable Matching Problem, arXiv:2201.00645 [math.HO], 2021. (A000142, A001044, A002860, A069124, A091868, A185141, A340890, A342573, A343474, A343475, A343696, A343697, A343698, A343699, A343700, A344662, A344663, A344664, A344665, A344666, A344667, A344668, A344669, A344670, A344671, A344689, A344690, A344691, A344692, A344693, A345679)
Matvey Borodin, Eric Chen, Aidan Duncan, Tanya Khovanova, Boyan Litchev, Jiahe Liu, Veronika Moroz, Matthew Qian, Rohith Raghavan, Garima Rastogi, and Michael Voigt, The Stable Marriage Problem and Sudoku, College Math. J. (2023). doi:10.1080/07468342.2023.2261183 (A069124, A107739, A185141)
Matvey Borodin, Hannah Han, Kaylee Ji, Tanya Khovanova, Alexander Peng, David Sun, Isabel Tu, Jason Yang, William Yang, Kevin Zhang, Kevin Zhao, Variants of Base 3 over 2, arXiv:1901.09818 [math.NT], 2019. (A005836, A024629, A256785, A265316)
G. Boros and V. H. Moll. Irresistible Integrals, Cambridge, 2004.
A. V. Borovik, A. G. Myasnikov and V. N. Remeslennikov, arXiv:math.GR/0204070 Multiplicative measures on free groups, Internat. J. Algebra Comput. 13 (2003), no. 6, 705-731.
A Borowiec, W Mlotkowski, New Eulerian numbers of type D, arXiv preprint arXiv:1509.03758, 2015
A. Bors, Finite groups having an automorphism with a sufficiently large cycle are solvable, arXiv preprint arXiv:1501.07172, 2015 [A000793 is referenced in version 1 but not in version 2]
Alexander Bors, Michael Giudici, Cheryl E. Praeger, Documentation for the GAP code file OrbOrd.txt, arXiv:1910.12570 [math.GR], 2019. (A000009)
J. Borwein, Aesthetics for the Working Mathematician, April 2001. [ps pdf]
J. Borwein, The Impact of Technology on the Doing of Mathematics, April 2000. [ps pdf]
J. M. Borwein, Exploratory experimentation: digitally-assisted discovery and proof, Gaz. Austr. Math. Soc. 36 (3) (2009) p 166-175 [Includes an OEIS screen shot]
J. M. Borwein, The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems, 2014; Chapter prepared for John Monaghan, Luc Troche and Jonathan Borwein, "Tools and mathematics: Instruments for learning", Spring-Verlag, 2015; https://carmamaths.org/resources/jon/hhm.pdf
J. M. Borwein, A short walk can be beautiful, 2015; https://carmamaths.org/resources/jon/beauty.pdf
J. M. Borwein, "Adventures with the OEIS: Five sequences Tony may like", Guttmann 70th Meeting, 2015, revised May 2016. "OEIS is an amazing instrumental resource, ... a model both for curation and for moderation" PDF (A000110, A000364, A001861, A002895, A011248, A055745, A060997, A103370, A218147, A253095); also doi:10.1007/978-3-319-68376-8_9
Jonathan M. Borwein, I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly (2015), in Pi: The Next Generation, Springer 2016, pp 475-499, doi:10.1007/978-3-319-32377-0_25.
J. Borwein and P. Borwein, Some observations on computer aided analysis, Notices Amer. Math. Soc. 39 (1992), 825-829.
J. M. Borwein and D. M. Bailey, Mathematics by Experiment, Peters, Boston, 2004.
J. Borwein, D. Bailey and R. Girgensohn, Experimentation in Mathematics: Computational Paths to Discovery, Peters, Boston, 2004.
J. M. Borwein and P. B. Borwein, Challenges in Mathematical Computing, Computing in Science and Engineering 3 (2001), 48-53. (PostScript , Pdf)
J. M. Borwein, P. R. Borwein and K. Dilcher, Pi, Euler numbers and asymptotic expansions, Amer. Math. Monthly, 96 (1989), 681-687.
J. M. Borwein, D. M. Bradley and D. J. Broadhurst, Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k, Elect. J. Combin., #R5 of Vol. 4(2), 1997.
J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek, Special Values of Multiple Polylogarithms, Transactions of the American Mathematical Society, Vol. 353, No. 3, March 2001, pp. 907-941.
J. M. Borwein, Marc Chamberland, doi:10.1155/2007/19381 Integer Powers of Arcsin, Int. J. Math. Math. Sci. 2007, #19381.
J. M. Borwein, O-Yeat Chan, R. E. Crandall, doi:10.1080/10586458.2010.10390634 Higher-dimensional box integrals, Exper. Math. 19 (4) (2010) 431-466
J. M. Borwein and S. T. Chapman, I prefer pi ..., Amer. Math. Monthly, 122 (2015), 195-216.
J. M. Borwein and K.-K. S. Choi, On the Representations of xy+yz+zx, Experimental Math., 9 (2000), 153-158.
J. M. Borwein and K.-K. S. Choi, On Dirichlet series for sums of squares, The Ramanujan Journal, special issue for Robert Rankin, Volume 7, Numbers 1-3 / March, 2003, pdf)
J. M. Borwein, K.-K. S. Choi and W. Pigulla, Continued Fractions of Tails of Hypergeometric Series, pdf), Amer. Math. Monthly, 112 (2005), 493-501.
J. M. Borwein and R. M. Corless, Review of ``An Encyclopedia of Integer Sequences by N. J. A. Sloane and Simon Plouffe", SIAM Review, 38 (1996), 333-337. (A review rather than a paper, but relevant.)
J. M. Borwein and R. M. Corless, Emerging tools for experimental mathematics, Amer. Math. Monthly, 106 (No. 10, 1999), 889-909.
Jonathan M. Borwein, Dirk Nuyens, Armin Straub, James Wan, Random Walks in the Plane, dmtcs:2862 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
Jonathan M. Borwein, Dirk Nuyens, Armin Straub and James Wan, Random Walk Integrals, 2010. ("[We] would also like to thank you for the interesting and crucial role the OEIS played in this research", James Wan, personal communication.)
Borwein, Jonathan M.; Nuyens, Dirk; Straub, Armin; Wan, James Some arithmetic properties of short random walk integrals. Ramanujan J. 26 (2011), no. 1, 109-132.
Jonathan M. Borwein and Armin Straub, Mahler measures, short walks and log-sine integrals, PDF and Theor. Comput. Sci. 479, 4-21 (2013) doi:10.1016/j.tcs.2012.10.025
Jonathan M. Borwein, Armin Straub and Christophe Vignat, Densities of short uniform random walks, Part II: Higher dimensions, Preprint, 2015; https://carmamaths.org/resources/jon/dwalks.pdf
Arie Bos, Fractal Images as Number Sequences I, arXiv:2207.12942, July 26 2022.
Robert Bosch, Tale of a Problem Solver, Arista Publishing, Miami FL, 2016.
W. Bosma, Signed bits and fast exponentiation, 21st Journées Arithmétiques (Rome, 2001). J. Théor. Nombres Bordeaux 13 (2001), no. 1, 27-41.
Wieb Bosma, Michel Dekking, Wolfgang Steiner, A remarkable integer sequence related to pi and sqrt(2), arXiv:1710.01498, 4 Oct 2017, also Integers (2018) 18A, Article #A4. (A086377, A189687)
Lara Bossinger, Martina Lanini, Following Schubert varieties under Feigin's degeneration of the flag variety, arXiv:1802.04320 [math.RT], 2018. (A129180)
Alin Bostan, Computer Algebra for Lattice Path Combinatorics, Seminaire de Combinatoire Ph. Flajolet, March 28 2013; https://www-apr.lip6.fr/sem-comb-slides/IHP-bostan.pdf
Alin Bostan, Computer Algebra in the Service of Enumerative Combinatorics, Proc. Int'l Symp. Symb. Alg. Comp. (ISSAC 2021) 1-8. doi:10.1145/3452143.3465507
Alin Bostan, Calcul Formel pour la Combinatoire des Marches, Habilitation à Diriger des Recherches, Laboratoire d’Informatique de Paris Nord, Université Paris 13, December 2017; https://specfun.inria.fr/bostan/HDR.pdf
A. Bostan, S. Boukraa, J.-M. Maillard, J.-A. Weil, Diagonals of rational functions and selected differential Galois groups, arXiv preprint arXiv:1507.03227, 2015, doi:10.1088/1751-8113/48/50/504001, J. Phys. A 48 (50) (2015)
Alin Bostan, Frédéric Chyzak, and Vincent Pilaud, Refined product formulas for Tamari intervals, arXiv:2303.10986 [math.CO], 2023. (A000139, A000257, A000260, A002378, A004321, A006630, A082680, A146305)
Bostan, Alin ; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien doi:10.1016/j.ejc.2016.10.010 Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Eur. J. Comb. 61, 242-275 (2017)
Alin Bostan, F. Chyzak, M van Hoeij, L. Pech, Explicit formula for the generating series of diagonal 3D rook paths, Sem. Lothar.. de Combinat. 66 (2011) B66a
Alin Bostan, Manuel Kauers, Automatic Classification of Restricted Lattice Walks arXiv:0811.2899, June 2009
Alin Bostan, Alexander Marynych, Kilian Raschel, On the least common multiple of several random~integers, arXiv:1901.03002 [math.PR], 2019. (A001692)
Alin Bostan, Andrew Elvey Price, Anthony John Guttmann, Jean-Marie Maillard, Stieltjes moment sequences for pattern-avoiding permutations, arXiv:2001.00393 [math.CO], 2020. (A001006, A001405, A002895, A005773, A005802, A022558, A047889, A047890, A052399, A060899, A072131, A126087, A128386, A129400, A129637, A151281, A151282, A151292, A151318, A151323, A230051)
Alin Bostan, Armin Straub, and Sergey Yurkevich, On the representability of sequences as constant terms, arXiv:2212.10116 [math.NT], 2022. (A000897, A002894, A006480, A113424)
Alin Bostan, Jordan Tirrell, Bruce W. Westbury, Yi Zhang, On sequences associated to the invariant theory of rank two simple Lie algebras, arXiv:1911.10288 [math.CO], 2019. (A001181, A059710, A108304, A108307, A151366, A216947, A236408)
Mina Saee Bostanabad, João Gouveia, Ting Kei Pong, Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices, arXiv:1807.00379 [math.OC], 2018. To explore the limits of our approach we tried a few more instances of the stable set problem. We tried Paley graphs, known to mimic some properties of random graphs, with some degree of success, and a few small-sized instances of graphs derived from error correcting codes, available at [OEIS].
Nigel Boston, Explicit Galois Groups of Infinite p-Extensions Unramified at p, preprint.
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Khadidja Boubellouta, Mohamed Kerada, Some Identities and Generating Functions for Padovan Numbers, Tamap Journal of Mathematics and Statistics (2019) Article SI04. doi:10.29371/2019.16.SI04 (A000931)
Rachelle R. Bouchat and Tricia Muldoon Brown, Minimal Free Resolutions of 2 × n Domino Tilings, arXiv:1708.07054 [math.AC], 2017.
Rachelle R. Bouchat, Tricia Muldoon Brown, Fibonacci numbers and resolutions of domino ideals, Journal of Algebra Combinatorics Discrete Structures and Applications (2019) Vol. 6, No. 2, 63-74. Abstract (A000045)
Youssef Boudabbous, Maurice Pouzet, The morphology of infinite tournaments; application to the growth of their profile, European Journal of Combinatorics 31 (2) (2010) 461-481 doi:10.1016/j.ejc.2009.03.027
Charles Bouillaguet, Boolean Polynomial Evaluation for the Masses, LIP6 Laboratory, Sorbonne Université (Paris, France) Cryptology ePrint Archive (2022) No. 1412. PDF (A073028)
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Mohammed Bouras, The distribution of prime numbers, 2022. doi:10.13140/RG.2.2.14644.53126, see also doi:10.5281/zenodo.7212512 (A132199, A356247)
Mohammed Bouras, A new sequence of prime numbers, Romanian Math. Mag. (15 August 2022). Abstract (A051403)
Jean-Emile Bourgine, PA Pearce, E Tartaglia, Logarithmic Minimal Models with Robin Boundary Conditions, arXiv preprint arXiv:1601.04760, 2016.
Rebecca Bourn and William Q. Erickson, A palindromic polynomial connecting the earth mover's distance to minuscule lattices of Type A, arXiv:2307.02652 [math.CO], 2023. (A002699)
Sadek Bouroubi, "Integer Partitions and Convexity", J. Integer Sequences, Volume 10, 2007, Article 07.6.3.
Sadek Bouroubi and Farid Bencherif, Ordered Integer Quadrilaterals with a Fixed Perimeter, Bulletin du Laboratoire 01 (2022) 01-07. PDF (A062890)
Sadek Bouroubi, Ali Debbache, An unexpected meeting between the P³₁-set and the cubic-triangular numbers, arXiv:2001.11407 [math.NT], 2020. (A000217)
Sadek Bouroubi and Ali Debbache, Thue's equation as a tool to solve two different problems, Acta et Commentationes Univ. Tartuensis de Math. (2021) Vol. 25, No. 1, 153-156. Abstract (A000217)
Thierry Bousch, LA TOUR DE STOCKMEYER, Seminaire Lotharingien de Combinatoire 77 (2017), Article B77d; http://www.emis.de/journals/SLC/wpapers/s77bousch.pdf
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M. Bousquet-Mélou and G. Schaeffer, Walks on the slit plane, Probab. Theory Related Fields, 124 (2002), no. 3, 305-344.
Adrien Boussicault, P Laborde-Zubieta, Periodic Parallelogram Polyominoes, arXiv preprint arXiv:1611.03766, 2016
J. Bouttier, Énumération des méandres: une approche à partir des méthodes de physique théorique, Mémoire d'exposé bibliographique du DEA de Physique Théorique, 2001.
J. Bouttier and E. Guitter, A note on irreducible maps with several boundaries, arXiv preprint arXiv:1305.4816, 2013
Mathilde Bouvel, Cedric Chauve, Marni Mishna and Dominique Rossin, Average-case analysis of perfect sorting by reversals, Arxiv preprint arXiv:1201.0940, 2012.
Mathilde Bouvel, Lapo Cioni, and Luca Ferrari, Preimages under the bubblesort operator, arXiv:2204.12936 [math.CO], 2022. See Table 1 p. 12. (A056151)
Bouvel, Mathilde; Ferrari, Luca On the enumeration of d-minimal permutations. Discrete Math. Theor. Comput. Sci. 15 (2013), no. 2, 33-48.
Mathilde Bouvel, Veronica Guerrini, Andrew Rechnitzer, Simone Rinaldi, Semi-Baxter and strong-Baxter: two relatives of the Baxter sequence, arXiv:1702.04529 [math.CO], 2017.
M Bouvel, V Guerrini, S Rinaldi, Slicings of parallelogram polyominoes, or how Baxter and Schroeder can be reconciled, arXiv preprint arXiv:1511.04864, 2015
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M. Bouvel, M. Mishna, C. Nicaud, Some simple varieties of trees arising in permutation analysis, FPSAC 2013 Paris, France DMTCS Proc. AS, 2013, 855-866, http://www.liafa.univ-paris-diderot.fr/fpsac13/pdfAbstracts/dmAS0179.pdf. Also in 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. Discrete Mathematics and Theoretical Computer Science, s (FPSAC 2013), pp. 825-836, <hal-01229665>
Mathilde Bouvel , Elisa Pergola, Posets and Permutations in the Duplication-Loss Model: Minimal Permutations with d Descents (2008); arXiv:0806.1494 and Theor. Comput. Sci. 411 (26-28) (2010) 2487-2501 doi:10.1016/j.tcs.2010.03.008
Denis Bouyssou, Thierry Marchant, Marc Pirlot, The size of the largest antichains in products of linear orders, arXiv:1903.07569 [math.CO], 2019. (A077042)
Denis Bouyssou, Thierry Marchant, and Marc Pirlot, Multiple criteria sorting and maximal antichains, (2022). PDF (A000372, A000984, A171155, A326358)
Juliana Bowles and Marco B. Caminati, A Verified Algorithm Enumerating Event Structures, arXiv:1705.07228 [cs.LO], 2017.
Garry Bowlin, Maximum Frustration in Bipartite Signed Graphs, Electronic Journal of Combinatorics, 19(4) (2012), #P10.
G. Bowlin and M. G. Brin, Coloring Planar Graphs via Colored Paths in the Associahedra, arXiv preprint arXiv:1301.3984, 2013
D. Bowman and A. Regev, Counting symmetry classes of dissections of a convex regular polygon, arXiv preprint arXiv:1209.6270, 2012, and Adv. Appl. Math. 56 (2014) 35-55 doi:10.1016/j.aam.2014.01.004
Joshua P. Bowman, Compositions with an Odd Number of Parts, and Other Congruences, J. Int. Seq (2024) Vol. 27, Art. 24.3.6. Abstract (A000004, A000007, A000016, A000032, A000045, A000204, A000225, A001350, A001519, A002878, A004146, A008965, A011782, A025192, A032198, A056295, A088305, A093040, A094686, A100886, A324969, A365857, A365858, A365859, A366043, A366044, A366045)
C. Boyapati, S. Khurshid and D. Marinov, Korat: Automated testing Based on Java Predicates, ACM International Symposium on Software Testing and Analysis (ISSTA), Rome, Italy, July 2002. (This paper won an ACM Distinguished Paper Award) [PostScript, PDF]
Rachael Boyd, Richard Hepworth, Combinatorics of injective words for Temperley-Lieb algebras, arXiv:2006.04261 [math.AT], 2020. (A001045)
Christian Boyer, "Some Notes on the Magic Squares of Squares Problem", The Mathematical Intelligencer, Vol. 27, No. 2, Spring 2005, pages 52-64, Springer, New-York, 2005
C. Boyer, New upper bounds for Taxicab and CabTaxi numbers, JIS 11 (2008) 08.1.6
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János, Einstein metrics on spheres. Ann. of Math. (2) 162 (2005), no. 1, 557-580.
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan, Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Experiment. Math. 14 (2005), no. 1, 59-64.
Peter Boyland, Gabriella Pintér, István Laukó, Ivan Roth, Jon E. Schoenfield, and Stephen Wasielewski, On the Maximum Number of Non-intersecting Diagonals in an Array, Journal of Integer Sequences, Vol. 20 (2017), Article 17.2.4.
Keegan Boyle, On The Virtual Cosmetic Surgery Conjecture. arXiv:1701.02361v1, 2017. (version 2 omits the reference to the OEIS)
Latham Boyle, Paul J Steinhardt, Self-Similar One-Dimensional Quasilattices, arXiv preprint arXiv:1608.08220, 2016.
Philip Boyle Smith, David Tong, What Symmetries are Preserved by a Fermion Boundary State?, arXiv:2006.07369 [hep-th], 2020. (A031360)
Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont, and Światosław R. Gal, Reflection length with two parameters in the asymptotic representation theory of type B/C and applications, arXiv:2104.14530 [math.RT], 2021. (A052701, A151374)
Marek Bożejko and Wiktor Ejsmont, The double Fock space of type B, arXiv:2202.13762 [math.FA], 2022. (A000984)
Marek Bożejko, Światosław R. Gal, Wojciech Młotkowski, Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability, arXiv:1704.06845 [math.OA], 2017.
M. Bozejko and T. Hasebe, On free infinite divisibility for classical Meixner distributions, arXiv preprint arXiv:1302.4885, 2013
Stevo Bozinovski and Adrijan Božinovski, Artificial Intelligence and infinity: Infinite series generated by Turing Machines, SoutheastCon, 2017. doi:10.1109/SECON.2017.7925371
Stevo Bozinovski, Adrijan Bozinovski, Brain Rhythms, Pascal Triangle, and Brain-Computer Interface, 54th Int'l Scientific Conference on Information, Communication, and Energy Systems and Technologies (ICEST, Ohrid, North Macedonia 2019), 191-193. PDF (A277267, A279521)
Stevo Bozinovski, Adrijan Bozinovski, A Non-asymptotic Space Complexity of a Backtracking Algorithm for the N-queens Problem, 54th Int'l Scientific Conference on Information, Communication, and Energy Systems and Technologies (ICEST, Ohrid, North Macedonia 2019), 176-178, PDF (A000170)
D. Bozkurt, C. M. da Fonseca, F. Yilmaz, The determinants of circulant and skew-circulant matrices with tribonacci numbers, Mathematical Sciences And Applications E-Notes, Volume 2 No. 2 pp. 67-75 (2014); PDF
Sebastian Bozlee, Bob Kuo, and Adrian Neff, A classification of modular compactifications of the space of pointed elliptic curves by Gorenstein curves, arXiv:2105.10582 [math.AG], 2021. (A302251)
L. Bracci, L. E. Picasso, A simple iterative method to write the terms of any order of perturbation theory in quantum mechanics, The European Physical Journal Plus, October 2012, 127:119, doi:10.1140/epjp/i2012-12119-6
Harry W. Braden, Victor Z. Enolskii and Andrew N.W. Hone, Bilinear recurrences and addition formulae for hyperelliptic sigma functions (2005), arXiv:math/0501162.
Tom Braden, Artem Vysogorets, Kazhdan-Lusztig polynomials of matroids under deletion, arXiv:1909.09888 [math.CO], 2019. (A005043)
Phillip G. Bradford, Efficient Exact Paths For Dyck and semi-Dyck Labeled Path Reachability, arXiv:1802.05239 [cs.DS], 2018. (A007583)
B. Bradie, Extensions and Refinements of some properties of sums involving Pell Numbers, Miss. J. Math. Sci 22 (1) (2010) 37-43 Euclid
D. M. Bradley, A Class of Series Acceleration Formulae for Catalan's Constant, The Ramanujan Journal, Vol. 3, Issue 2, June 1999, pp. 159-173.
D. M. Bradley, Experimental Mathematics via Inverse Symbolic Computation, Invited Talk, Department of Mathematics and Statistics, University of Maine, Orono, Maine, June 12, 1997.
Patrick Erik Bradley and Norbert Paul, Comparing G-maps with other topological data structures, Geoinformatica, 2013: doi:10.1007/s10707-013-0191-1
Paul Bradley, Prime Number Sums, arXiv:1809.01012 [math.GR], 2018. (A073364)
Paul Bradley and Peter Rowley, Orbits on k-subsets of 2-transitive Simple Lie-type Groups, 2014; http://eprints.ma.man.ac.uk/2167/01/covered/MIMS_ep2014_42.pdf
James P. Bradshaw, Philipp Lampe, Dusan Ziga, Snake graphs and their characteristic polynomials, arXiv:1910.11823 [math.CO], 2019. (A152063)
Zachary P. Bradshaw and Christophe Vignat, Dubious Identities: A Visit to the Borwein Zoo, arXiv:2307.05565 [math.HO], 2023. (A196563, A196564)
S. Alex Bradt, Jennifer Elder, Pamela E. Harris, Gordon Rojas Kirby, Eva Reutercrona, Yuxuan, (Susan), Wang, and Juliet Whidden, Unit interval parking functions and the r-Fubini numbers, arXiv:2401.06937 [math.CO], 2024. (A000670, A008277, A080599, A143494, A232472)
Richard Brak, A Universal Bijection for Catalan Structures, arXiv:1808.09078 [math.CO], 2018. (A000108)
R. Brak, A. C. Oppenheim and A. L. Owczarek, Anisotropic step, surface contact and area weighted directed walks on the triangular lattice, Int. J. Mod. Phys. B, Vol. 16, N. 9 (2002), 1269-1299.
Donovan Branch, Dennis Davenport, Shakuan Frankson, Jazmin T. Jones, and Geoffrey Thorpe, A & Z Sequences for Double Riordan Arrays, Southeastern Int'l Conf. Combinatorics, Graph Theory, and Computing (SEICCGTC 2020) Springer Proceedings in Mathematics & Statistics book series (PROMS), Vol. 388, 33-46. doi:10.1007/978-3-031-05375-7_3
M. Brand, Munchhausen Matrices, Electronic Journal of Combinatorics, 19(4) (2012), #P40.
Matthew Brand, Choosing 1 of N with and without lucky numbers, arXiv:1808.07994 [math.NT], 2018. (A002326)
Michael Brand, Lower bounds on the Munchhausen problem, arXiv preprint arXiv:1304.7075, 2013. Also AUSTRALASIAN JOURNAL OF COMBINATORICS, Volume 59(1) (2014), Pages 81-85.
M. Brand, Friedman numbers have density 1, - Discrete Applied Mathematics, Volume 161, Issues 16-17, November 2013, Pages 2389-2395.
Petter Brändén, Jonathan Leake, Igor Pak, Lower bounds for contingency tables via Lorentzian polynomials, arXiv:2008.05907 [math.CO], 2020. (A001500, A037302)
Brändén, Petter; Mansour, Toufik, Finite automata and pattern avoidance in words. J. Combin. Theory Ser. A 110 (2005), no. 1, 127-145.
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Adam Brandenburger, The Strategist: Strategy from Combination, 2018. PDF (A000522)
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Eric F. Bravo and Jhon J. Bravo, Some arithmetic functions of factorials in Lucas sequences, Glasnik Matematički (2021) Vol. 56, No. 1, 17-28. Abstract (A000010, A000108, A000203, A001065)
Jhon J. Bravo, Sergio Guzmán, Florian Luca, Repdigit Keith numbers, Lithuanian Mathematical Journal, April 2013, Volume 53, Issue 2, pp. 143-148.
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Barry Brent, draft 14h1may22 of “Finite field models of Raleigh-Akiyama polynomials interpolating modular functions for Hecke groups”, (2022). PDF (A097340)
Barry Brent, Incomplete draft of “On the constant terms of meromorphic modular forms for Hecke groups”, Interpolating polynomials for Hecke group modular forms, ResearchGate (2022). Abstract (A005148)
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Barry Brent, On the constant terms of certain meromorphic modular forms, ResearchGate 2023. Abstract (A005148)
Barry Brent, Finite field models of polynomials interpolating Fourier coefficients of modular functions for Hecke groups, 2023. doi:10.13140/RG.2.2.35825.45923 (A002476, A097340)
Barry Brent, On the Constant Terms of Certain Laurent Series, 2023. doi:10.20944/preprints202306.1164.v6 (A005148, A005187, A037168, A037453, A049001, A084920, A099628, A164123, A176003, A191107)
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Richard P. Brent and David Harvey, Fast computation of Bernoulli, Tangent and Secant numbers, Arxiv preprint arXiv:1108.0286, 2011
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Richard P. Brent, Carl Pomerance, Jonathan Webster, Algorithms for the Multiplication Table Problem, 2018. PDF (A027417)
Richard P. Brent, AB Yedidia, Computation of Maximal Determinants of Binary Circulant Matrices, arXiv preprint arXiv:1801.00399, 2018.
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