Journal of Integer Sequences

• Article 21.1.1:     Yu Hin (Gary) Au,
                              "Some Properties and Combinatorial Implications of Weighted Small Schröder Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.2:     Oluwatobi Jemima Alabi and Greg Dresden,
                              "Fault-Free Tilings of the 3 × n Rectangle With Squares and Dominos"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.3:     Daniel Birmajer, Juan D. Gil, Juan B. Gil, and Michael D. Weiner,
                              "Schröder Coloring and Applications"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.4:     Christian Ballot,
                              "The p-Adic Valuation of Lucasnomials When p is a Special Prime"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.5:     Olivia Nabawanda and Fanja Rakotondrajao,
                              "Sets of Flattened Partitions with Forbidden Patterns"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.6:     Stephan Wagner and Volker Ziegler,
                              "Irrationality of Growth Constants Associated with Polynomial Recursions"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.7:     Amin Witno,
                              "Hypothetical Elite Primes for Mersenne Numbers and Repunits"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.1.8:     Ajai Choudhry,
                              "Four Biquadrates whose Sum is a Perfect Square"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.2.1:     Mark Shattuck,
                              "Combinatorial Properties of a Generalized Class of Laguerre Polynomials"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.2.2:     Steven and Jonathan Hoseana,
                              "The Prime-Power Map"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.2.3:     Edgar Federico Elizeche and Amitabha Tripathi,
                              "Some Results on Fundamental Gaps in Numerical Semigroups"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.2.4:     Mahid M. Mangontarum and Norlailah M. Madid,
                              "On Noncentral Tanny-Dowling Polynomials and Generalizations of Some Formulas for Geometric Polynomials"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.2.5:     Michael Coons and James Evans,
                              "A Sequential View of Self-Similar Measures; or, What the Ghosts of Mahler and Cantor Can Teach Us About Dimension"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.2.6:     Kunle Adegoke,
                              "Relating Certain Weighted Fibonacci Series to Bernoulli Polynomials via the Polylogarithm Function"
                                Withdrawn by the author, May 21 2021.
• Article 21.2.7:     Karol Gryszka,
                              "Choix de Bruxelles Operation of Order Three"
                                (Abstract, pdf, ps, dvi, tex, python code)
• Article 21.2.8:     Nachum Dershowitz,
                              "Between Broadway and the Hudson: A Bijection of Corridor Paths"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.3.1:     Altug Alkan, Andrew R. Booker, and Florian Luca,
                              "On a Recursively Defined Sequence Involving the Prime Counting Function"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.2:     Necdet Batır and Anthony Sofo,
                              "A Unified Treatment of Certain Classes of Combinatorial Identities"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.3:     Clark Kimberling and Peter J. C. Moses,
                              "Complementary Equations with Advanced Subscripts"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.4:     Hùng Việt Chu,
                              "Divisibility of Divisor Functions of Even Perfect Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.5:     John Asplund and N. Bradley Fox,
                              "Minimum Coprime Labelings of Generalized Petersen and Prism Graphs"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.6:     Alexander M. Haupt,
                              "Enumeration of S-omino Towers and Row-Convex k-omino Towers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.7:     Bakir Farhi,
                              "Nontrivial Effective Lower Bounds for the Least Common Multiple of a q-Arithmetic Progression"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.3.8:     Kenneth Edwards and Michael A. Allen,
                              "New Combinatorial Interpretations of the Fibonacci Numbers Squared, Golden Rectangle Numbers,
                              and Jacobsthal Numbers Using Two Types of Tile"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.4.1:     Luis Verde-Star,
                              "A Matrix Approach to Generalized Delannoy and Schröder Arrays"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.2:     Jagannath Bhanja,
                              "A Note on Sumsets and Restricted Sumsets"
                                (Abstract, pdf, ps, dvi, tex, corrigendum)
• Article 21.4.3:     Necdet Batır,
                              "Finite Binomial Sum Identities with Harmonic Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.4:     Paul Potgieter,
                              "Arithmetic Properties of Sparse Subsets of Zⁿ"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.5:     Gregory Dresden and Michael Tulskikh,
                              "Tiling a 2 × n Board with Dominos and L-Shaped Trominos"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.6:     Isaac DeJager, Madeleine Naquin, Frank Seidl, and Paul Drube,
                              "Colored Motzkin Paths of Higher Order"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.7:     Paweł Marcin Kozyra,
                              "On the Number of Antichains and Antichain Covers of Labeled Sets"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.4.8:     Svenja Huntemann and Neil Anderson McKay,
                              "Counting Domineering Positions"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.5.1:     Paul Barry,
                              "Generalized Catalan Recurrences, Riordan Arrays, Elliptic Curves, and Orthogonal Polynomials"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.2:     László Németh and László Szalay,
                              "Sequences Involving Square Zig-Zag Shapes"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.3:     Jon Grantham and Hester Graves,
                              "The abc Conjecture Implies That Only Finitely Many s-Cullen Numbers Are Repunits"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.4:     Passawan Noppakaew and Thanakorn Prinyasart,
                              "Complete Sequences of Weighted r-Generalized Fibonacci Powers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.5:     Tomohiro Yamada,
                              "On Almost Lehmer Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.6:     Beaullah Mugwangwavari and Darlison Nyirenda,
                              "A Note on the Andrews-Ericksson-Petrov-Romick Bijection for MacMahon's Partition Theorem"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.7:     Priyavrat Deshpande, Krishna Menon, and Anurag Singh,
                              "Counting Regions of the Boxed Threshold Arrangement"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.5.8:     Paul Tabatabai and Dieter P. Gruber,
                              "Knights and Liars on Graphs"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.6.1:     Will Boultinghouse, Jane Long, Olena Kozhushkina, and Justin Trulen,
                              "2-Adic Valuations of Quadratic Sequences"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.2:     Issa Dababneh, Mark Elmer, and Ryan McCulloch,
                              "A Golden Penney Game"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.3:     Rupam Barman and Ajit Singh,
                              "Mex-Related Partition Functions of Andrews and Newman"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.4:     Eugene Fiorini, Max Lind, Andrew Woldar, and Tony W. H. Wong,
                              "Characterizing Winning Positions in the Impartial Two-Player Pebbling Game on Complete Graphs"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.5:     Martin Rubey,
                              "Alternating Sign Matrices Through X-Rays"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.6:     Teerapat Srichan, Watcharapon Pimsert, and Vichian Laohakosol,
                              "New Recursion Formulas for the Partition Function"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.7:     T. Lamont-Smith,
                              "Multiplicative Persistence and Absolute Multiplicative Persistence"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.6.8:     Takashi Agoh and Horst Alzer,
                              "Mean Value Inequalities for Motzkin Numbers"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.7.1:     Mark Dukes,
                              "Fagan’s Construction, Strange Roots, and Tchoukaillon Solitaire"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.2:     Zuzana Masáková and Élise Vandomme,
                              "Redundance in the Signed m-Bonacci Numeration System"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.3:     Carlo Sanna,
                              "On the Least Common Multiple of Shifted Powers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.4:     Neelima Borade and Jacob Mayle,
                              "Square Curious Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.5:     E. L. Roettger and H. C. Williams,
                              "Appearance of Primes in Fourth-Order Odd Divisibility Sequences"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.6:     Beáta Bényi and Matthieu Josuat-Vergès,
                              "Combinatorial Proof of an Identity on Genocchi Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.7:     Supawadee Prugsapitak and Nattaporn Thongngam,
                              "Representation of Integers of the Form x² + my² — z²"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.7.8:     Safia Aoudjit, Djamel Berkane, and Pierre Dusart,
                              "Explicit Estimates Involving the Primorial Integers and Applications"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.8.1:     Ajai Choudhry,
                              "New Solutions of the Tarry-Escott Problem of Degrees 2, 3 and 5"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.2:     Jean-Luc Baril, José L. Ramírez, and Lina M. Simbaqueba,
                              "Counting Prefixes of Skew Dyck Paths"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.3:     David A. Kessler and Jeremy Schiff,
                              "The Asymptotics of Factorials, Binomial Coefficients and Catalan Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.4:     Damanvir Singh Binner,
                              "Generalization of a Result of Sylvester Related to the Frobenius Coin Problem"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.5:     Maximiliano Sánchez Garza and Enrique Treviño,
                              "On a Sequence Related to the Factoradic Representation of an Integer"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.6:     Ronald Orozco López,
                              "Solution of the Differential Equation y^(k) = e^ay, Special Values of Bell Polynomials, and (k, a)-Autonomous Coefficients"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.7:     Jarosław Grytczuk, Hubert Kordulewski, and Bartłomiej Pawlik,
                              "Squarefree Extensions of Words"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.8.8:     David Eppstein,
                              "Egyptian Fractions with Denominators from Sequences Closed Under Doubling"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.9.1:     Khristo Boyadzhiev and Robert Frontczak,
                              "Series Involving Euler's Eta (or Dirichlet Eta) Function"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.2:     Norihiro Nakashima and Shuhei Tsujie,
                              "Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.3:     Nguyen Viet Dung and Luu Ba Thang,
                              "The Number a² + b² — dc² Revisited"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.4:     Hacène Belbachir and Celia Salhi,
                              "The Generalized Bi-Periodic Fibonacci Sequence Modulo m"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.5:     Samuel S. Wagstaff, Jr.,
                              "Sum of Reciprocals of Germain Primes"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.6:     Marcos J. González, Alberto Mendoza, Florian Luca, and V. Janitzio Mejía Huguet,
                              "On Composite Odd Numbers k for Which 2ⁿ k is a Noncototient for All Positive Integers n"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.7:     Dmitry Efimov,
                              "Determinant of Three-Layer Toeplitz Matrices"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.9.8:     Dan Guyer and aBa Mbirika,
                              "GCD of Sums of k Consecutive Fibonacci, Lucas, and Generalized Fibonacci Numbers"
                                (Abstract, pdf, ps, dvi, tex)

• Article 21.10.1:     Prapanpong Pongsriiam,
                                "Quasi-Injectivity of Some Arithmetic Functions"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.2:     Paul Barry,
                                "From Fibonacci to Robbins: Series Reversion and Hankel Transforms"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.3:     Karl Dilcher and Larry Ericksen,
                                "Polynomials Whose Coefficients Are Stern Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.4:     Jonathan Beagley and Lara Pudwell,
                                "Colorful Tilings and Permutations"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.5:     Juan Luis Varona,
                                "On the Solution of the Equation n = ak + bp_k by Means of an Iterative Method"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.6:     Alain Hertz, Anaelle Hertz, and Hadrien Mélot,
                                "Using Graph Theory to Derive Inequalities for the Bell Numbers"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.7:     J. Berman and P. Köhler,
                                "On Dedekind Numbers and Two Sequences of Knuth"
                                (Abstract, pdf, ps, dvi, tex)
• Article 21.10.8:     Arseniy (Senia) Sheydvasser,
                                "The Ulam Sequence of Linear Integer Polynomials"
                                (Abstract, pdf, ps, dvi, tex)

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