Volume 17 (2017)
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A1:
Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials
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Tian-Xiao He and Jinze Zheng
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A2:
Accurate Asymptotic Estimates of Catalan's Sequence
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A3:
A New Constraint on Perfect Cuboids
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A4:
A Short Note on Reduced Residues
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A5:
The 2-adic Order of Some Generalized Fibonacci Numbers
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Tamás Lengyel and Diego Marques
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A6:
An Implicit Zeckendorf Representation
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A7:
On Partition Configurations of Andrews-Deutsch
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Abdulaziz M. Alanazi and Augustine O. Munagi
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A8:
Carries and the Arithmetic Progression Structure of Sets
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Francesco Monopoli and Imre Z. Ruzsa
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A9:
The Monotonicity of Some Sequences Related to Hyperharmonic Numbers
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A10:
Multiple Harmonic Sums and Multiple Harmonic Star Sums are (Nearly) Never Integers
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Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, and Roberto Tauraso
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A11:
Explicit Mertens Sums
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A12:
Reducibility of Polynomials Over Algebraic Number Fields
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P. Singthongla, N. R. Kanasri, and V. Laohakosol
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A13:
On Combinatorial Identities of Engbers and Stocker
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Horst Alzer and Helmut Prodinger
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A14:
A Simple Proof of a Conjecture of Dou on (3,7)-Regular Bipartitions Modulo 3
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Chandrashekar Adiga and Ranganatha D.
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A15:
Representation of Real Numbers by the Alternating Cantor Series
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A16:
Revitalized Automatic Proofs: Demonstrations
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Tewodros Amdeberhan, David Callan, Hideyuki Ohtsuka, and Roberto Tauraso
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A17:
A Generalization of Schauz and Brink's Restricted-Variable Version of Chevalley's Theorem
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Yogesh More and Craig V. Spencer
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A18:
Avoiding Zero-Sum Sequences of Prescribed Length Over the Integers
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C. Augspurger, M. Minter, K. Shoukry, P. Sissokho, and K. Voss
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A19:
A Generalized Stern-Brocot Tree
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A20:
On Permutiples Having a Fixed Set of Digits
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A21:
Congruences for 1-Shell Totally Symmetric Plane Partitions
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A22:
New Congruences for l-Regular Overpartitions
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A23:
Weakened Ramsey Numbers and Their Hypergraph Analogues
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Mark Budden, Matthew Stender, and Yanbo Zhang
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A24:
Sum of Two Repdigits a Square
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Bart Goddard and Jeremy Rouse
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A25:
Congruences Associated with the Modular j-Invariant
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Heng Huat Chan and Si Ying Lee
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A26:
Closed Form Expressions for the Stirling Numbers of the First Kind
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José A. Adell and Alberto Lekuona
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A27:
Shortest Distance in Modular Cubic Polynomials
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A28:
Simplification on Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers
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Wei Wang, Xiaoping Li, Xiang-Gen Xia, Wenjie Wang, and Jianguo Qian
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A29:
Equality of Dedekind Sums Modulo 24Z
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A30:
Conference Matrices With Maximum Excess and Two-intersection Sets
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Koji Momihara and Sho Suda
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A31:
Combinatorial Properties of Poly-Bernoulli Relatives
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Beáta Bényi and Péter Hajnal
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A32:
An Infinite Family of Quartic Polynomials Whose Products of Consecutive Values are Finitely Often Perfect Squares
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A33:
Finite Reciprocal Sums of Products Involving Squares of Sines or Cosines With Arguments in Arithmetic Progression
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A34:
Origami Constructions of Rings of Integers of Imaginary Quadratic Fields
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Jürgen Kritschgau and Adriana Salerno
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A35:
The Quartic Residues Latin Square
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Christian Aebi and Grant Cairns
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A36:
An Ordered Partition Expansion of the Determinant
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Erik Insko, Katie Johnson, and Shaun Sullivan
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A37:
Inverse Theorems in Z/pZ When a Subset is Contained in a Short Arithmetic Progression
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A38:
On the Periodicity of Irreducible Elements in Arithmetical Congruence Monoids
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Jacob Hartzer and Christopher O'Neill
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A39:
Lower Bounds on the Weak Schur Numbers Up to 9 Colors
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A40:
Proof of the Prime Ladder Conjecture
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A41:
A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers
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Greg Doyle and Kenneth S. Williams
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A42:
General Sum Formula for Bi-periodic Fibonacci and Lucas Numbers
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A43:
Arithmetic Progressions of Polygonal Numbers With Common Difference a Polygonal Number
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Lenny Jones and Tristan Phillips
Games Articles
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G1:
Peg Solitaire on Caterpillars
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Robert A. Beeler, Hannah Green, and Russell T. Harper
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G2:
Variations on Narrow Dots-and-Boxes and Dots-and-Triangles
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Adam Jobson, Levi Sledd, Susan Calcote White, and D. Jacob Wildstrom
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G3:
On the Complexity and Topology of Scoring Games: of Pirates and Treasure
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Péter Árendás, Zoltán L. Blázsik, Bertalan Bodor, and Csaba Szabó
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G4:
A Position in Infinite Chess With Game Value ω4
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C. D. A. Evans, Joel David Hamkins, and Norman Lewis Perlmutter
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G5:
Playing End-Nim with a Muller Twist