Vol. 18 of the Journal of Integer Sequences

Journal of Integer Sequences

Volume 18, 2015

Issue 1

Article 15.1.1: Klaudiusz Wójcik,
"Binomial Transform and Dold Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.2: Daniel Birmajer, Juan B. Gil, and Michael D. Weiner,
"Linear Recurrence Sequences and Their Convolutions via Bell Polynomials"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.3: Stefan Felsner and Daniel Heldt,
"Lattice Path Enumeration and Toeplitz Matrices"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.4: Diego Marques and Ana Paula Chaves,
"Fibonacci s-Cullen and s-Woodall Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.5: Baghdadi Aloui,
"Hankel Determinant for a Sequence that Satisfies a Three-Term Recurrence Relation"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.6: Éva Czabarka, Rigoberto Flórez, and Leandro Junes,
"A Discrete Convolution on the Generalized Hosoya Triangle"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.7: Christian Barrientos and Sarah Minion,
"Enumerating Families of Labeled Graphs"
(Abstract, pdf, ps, dvi, tex)

Article 15.1.8: L. Haddad and C. Helou,
"Finite Sequences Dominated by the Squares"
(Abstract, pdf, ps, dvi, tex)

Issue 2

Article 15.2.1: Colin Defant,
"On Arithmetic Functions Related to Iterates of the Schemmel Totient Functions"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.2: Filippo Disanto,
"Some Statistics on the Hypercubes of Catalan Permutations"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.3: Andrzej Nowicki,
"The Numbers a² + b² − dc²"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.4: Yi Wang and Zhi-Hai Zhang,
"Combinatorics of Generalized Motzkin Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.5: Werner Hürlimann,
"Exact and Asymptotic Evaluation of the Number of Distinct Primitive Cuboids"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.6: Andrew Kenney and Caroline Shapcott,
"Maximum Part-Products of Odd Palindromic Compositions"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.7: Jerry Metzger and Thomas Richards,
"A Prisoner Problem Variation"
(Abstract, pdf, ps, dvi, tex)

Article 15.2.8: Marc Deléglise and Jean-Louis Nicolas,
"On the Largest Product of Primes with Bounded Sum"
(Abstract, pdf, ps, dvi, tex)

Issue 3

Article 15.3.1: Diego Marques and Pavel Trojovský,
"The p-adic Order of Some Fibonomial Coefficients"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.2: Richard P. Brent,
"Generalizing Tuenter's Binomial Sums"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.3: Thomas M. Richardson,
"The Super Patalan Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.4: Ondřej Turek,
"Abelian Complexity Function of the Tribonacci Word"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.5: Martianus Frederic Ezerman, Bertrand Meyer, and Patrick Solé,
"On Polynomial Pairs of Integers"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.6: Gombodorj Bayarmagnai,
"A Note on a Theorem of Rotkiewicz"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.7: Olivier Bordellès,
"A Multidimensional Cesáro Type Identity and Applications"
(Abstract, pdf, ps, dvi, tex)

Article 15.3.8: Ricky X. F. Chen,
"A Note on the Generating Function for the Stirling Numbers of the First Kind"
(Abstract, pdf, ps, dvi, tex)

Issue 4

Article 15.4.1: Steffen Eger,
"Some Elementary Congruences for the Number of Weighted Integer Compositions"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.2: Liuquan Wang,
"New Congruences for Partitions where the Odd Parts are Distinct"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.3: Timothy R. Walsh,
"Space-Efficient Generation of Nonisomorphic Maps and Hypermaps"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.4: Paraskevas K. Alvanos and Konstantinos A. Draziotis,
"Integer Solutions of the Equation y² = Ax⁴ + B"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.5: Igor Szczyrba, Rafał Szczyrba, and Martin Burtscher,
"Analytic Representations of the n-anacci Constants and Generalizations Thereof"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.6: Dmitry V. Kruchinin and Vladimir V. Kruchinin,
"A Generating Function for the Diagonal T_2n,n in Triangles"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.7: Milan Janjić,
"On Linear Recurrence Equations Arising from Compositions of Positive Integers"
(Abstract, pdf, ps, dvi, tex)

Article 15.4.8: Raffaele Salvia,
"A New Lower Bound for the Distinct Distance Constant"
(Abstract, pdf, ps, dvi, tex)
(Accompanying tables: H.txt, MianChowla.txt, Zhang.txt )

Issue 5

Article 15.5.1: José Agapito, Ângela Mestre, Maria M. Torres, and Pasquale Petrullo,
"On One-Parameter Catalan Arrays"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.2: Ajai Choudhry,
"Arithmetic Progressions on Huff Curves"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.3: Martin Kreh,
"Minimal Sets"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.4: Christian Ballot,
"The Congruence of Wolstenholme for Generalized Binomial Coefficients Related to Lucas Sequences"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.5: Brăduţ Apostol, Laurenţiu Panaitopol, Lucian Petrescu, and László Tóth,
"Some Properties of a Sequence Defined with the Aid of Prime Numbers"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.6: Antônio Francisco Neto,
"Carlitz’s Identity for the Bernoulli Numbers and Zeon Algebra"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.7: Hieu D. Nguyen,
"A Generalization of the Digital Binomial Theorem"
(Abstract, pdf, ps, dvi, tex)
Article 15.5.8: Dennis E. Davenport, Louis W. Shapiro, Lara K. Pudwell, and Leon C. Woodson,
"The Boundary of Ordered Trees"
(Abstract, pdf, ps, dvi, tex)

Issue 6

Article 15.6.1: Michael Coons and Heath Winning,
"Powers of Two Modulo Powers of Three"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.2: E. L. Roettger and H. C. Williams,
"Some Arithmetic Properties of Certain Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.3: Sebastian Tim Holdum, Frederik Ravn Klausen, and Peter Michael Reichstein Rasmussen,
"On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence ⌊ n²/a ⌋"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.4: Charles Delorme and Guillermo Pineda-Villavicencio,
"Quadratic Form Representations via Generalized Continuants"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.5: Ian Gent, Sergey Kitaev, Alexander Konovalov, Steve Linton, and Peter Nightingale,
"S-Crucial and Bicrucial Permutations with Respect to Squares"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.6: Takayuki Hibi, Nan Li, and Hidefumi Ohsugi,
"The Face Vector of a Half-Open Hypersimplex"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.7: David L. Applegate, Hans Havermann, Robert G. Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller,
"The Yellowstone Permutation"
(Abstract, pdf, ps, dvi, tex)

Article 15.6.8: Yiting Li,
"Ménage Numbers and Ménage Permutations"
(Abstract, pdf, ps, dvi, tex)

Issue 7

Article 15.7.1: Jean-Luc Baril and Armen Petrossian,
"Equivalence Classes of Motzkin Paths Modulo a Pattern of Length at Most Two"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.2: Gerardo Alvarez, Julia E. Bergner, and Ruben Lopez,
"Action Graphs and Catalan Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.3: Glyn Harman,
"Primes in Intersections of Beatty Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.4: Urban Larsson and Nathan Fox,
"An Aperiodic Subtraction Game of Nim-Dimension Two"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.5: Fusun Akman and Papa A. Sissokho,
"Counting the Restricted Gaussian Partitions of a Finite Vector Space"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.6: Christian Axler,
"On a Sequence Involving Prime Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.7: Kevin O'Bryant,
"Sets of Natural Numbers with Proscribed Subsets"
(Abstract, pdf, ps, dvi, tex)

Article 15.7.8: Brian G. Kronenthal,
"An Integer Sequence Motivated by Generalized Quadrangles"
(Abstract, pdf, ps, dvi, tex)

Issue 8

Article 15.8.1: Daniel Baczkowski, Justin Eitner, Carrie E. Finch, Braedon Suminski, and Mark Kozek,
"Polygonal, Sierpiński, and Riesel Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.2: Emrah Polatlı and Seyhun Kesim,
"A Note on Catalan's Identity for the k-Fibonacci Quaternions"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.3: S. N. Ethier and Jiyeon Lee,
"Counting Toroidal Binary Arrays, II"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.4: Andrew Hone,
"Curious Continued Fractions, Nonlinear Recurrences, and Transcendental Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.5: Stefano Capparelli and Alberto Del Fra,
"Dyck Paths, Motzkin Paths, and the Binomial Transform"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.6: Peter Cho-Ho Lam,
"Representation of Integers Using a² + b² − dc²"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.7: R. S. Melham,
"Reciprocal Series of Squares of Fibonacci Related Sequences with Subscripts in Arithmetic Progression"
(Abstract, pdf, ps, dvi, tex)

Article 15.8.8: Grzegorz Rządkowski,
"An Analytic Approach to Special Numbers and Polynomials"
(Abstract, pdf, ps, dvi, tex)

Issue 9

Article 15.9.1: Colin Mallows and Robert J. Vanderbei,
"Which Young Tableaux Can Represent an Outer Sum?"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.2: Eiji Miyanohara,
"Transcendence of Digital Expansions Generated by a Generalized Thue-Morse Sequence"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.3: Gabriele Fici,
"Factorizations of the Fibonacci Infinite Word"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.4: Dong Zhang, Dongyi Wei, and Demin Zhang,
"Combinatorial Enumeration of Partitions of a Convex Polygon"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.5: Kurt Girstmair,
"Periodic Continued Fractions and Kronecker Symbols"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.6: H. W. Gould, Harris Kwong, and Jocelyn Quaintance,
"On Certain Sums of Stirling Numbers with Binomial Coefficients"
(Abstract, pdf, ps, dvi, tex)

Article 15.9.7: L. H. Kendrick,
"Young Graphs: 1089 et al."
(Abstract, pdf, ps, dvi, tex)

Article 15.9.8: Mahid M. Mangontarum and Jacob Katriel,
"On q-Boson Operators and q-Analogues of the r-Whitney and r-Dowling Numbers"
(Abstract, pdf, ps, dvi, tex)

Issue 10

Article 15.10.1: Matt Davis,
"Quadrant Marked Mesh Patterns and the r-Stirling Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.2: Stefano Bilotta, Elisabetta Grazzini, and Elisa Pergola,
"Enumeration of Two Particular Sets of Minimal Permutations"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.3: James Currie and Narad Rampersad,
"Binary Words Avoiding x x^R x and Strongly Unimodal Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.4: Juan Arias de Reyna and Randell Heyman,
"Counting Tuples Restricted by Pairwise Coprimality Conditions"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.5: Chris Fuller and Robert H. Nichols, Jr.,
"Generalized Anti-Waring Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.6: Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh, and Claus Michael Ringel,
"The Number of Support-Tilting Modules for a Dynkin Algebra"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.7: Jonathan T. Rowell,
"Solution Sequences for the Keyboard Problem and its Generalizations"
(Abstract, pdf, ps, dvi, tex)

Article 15.10.8: Shanta Laishram and Florian Luca,
"Rectangles Of Nonvisible Lattice Points"
(Abstract, pdf, ps, dvi, tex)

Issue 11

Article 15.11.1: Olivier Bordellès,
"Some Explicit Estimates for the Möbius Function"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.2: Alexei Kourbatov,
"Upper Bounds for Prime Gaps Related to Firoozbakht's Conjecture"
(Abstract, pdf, ps, dvi, tex)
Corrigendum, (pdf, tex)

Article 15.11.3: Samuel S. Gross and Joshua Harrington,
"Special Numbers in the Ring Z_n"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.4: C. Carré, N. Debroux, M. Deneufchâtel, J.-Ph. Dubernard, C. Hillairet, J.-G. Luque, and O. Mallet,
"Enumeration of Polycubes and Dirichlet Convolutions"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.5: David Christopher,
"Partitions with Fixed Number of Sizes"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.6: Sam Northshield,
"An Analogue of Stern’s Sequence for Z[√ 2]"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.7: Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood,
"Jacobi Polynomials and Congruences Involving Some Higher-Order Catalan Numbers and Binomial Coefficients"
(Abstract, pdf, ps, dvi, tex)

Article 15.11.8: Martin Griffiths,
"On a Matrix Arising from a Family of Iterated Self-Compositions"
(Abstract, pdf, ps, dvi, tex)

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