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Volume 8(1) (2008)

• A1: Explicit Formulas for Bernoulli and Euler Numbers
  • David C. Vella
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.10040080

• A2: A Combinatorial Interpretation of the Poly-Bernoulli Numbers and Two Fermat Analogues
  • Chad Brewbaker
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      DOI: 10.5281/zenodo.10040090

• A3: Counting Ordered Patterns in Words Generated by Morphisms
  • Sergey Kitaev, Toufik Mansour, and Patrice Séébold
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      DOI: 10.5281/zenodo.10040507

• A4: Arithmetic Structures in Random Sets
  • Mariah Hamel and Izabella Łaba
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      DOI: 10.5281/zenodo.10040517

• A5: Q-Binomials and the Greatest Common Divisor
  • Keith R. Slavin
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      DOI: 10.5281/zenodo.10040536

• A6: On Totient Abundant Numbers
  • Paul Loomis and Florian Luca
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      DOI: 10.5281/zenodo.10040549

• A7: On N | φ(N)D(N) + 2 and N | φ(N)σ(N)+1
  • Yong-Gao Chen and Jin-Hui Fang
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      DOI: 10.5281/zenodo.10068766

• A8: On Sums of Primes from Beatty Sequences
  • Angel V. Kumchev
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      DOI: 10.5281/zenodo.10068771

• A9: An Identity Involving Multiplicative Orders
  • Marian Deaconescu
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      DOI: 10.5281/zenodo.10068775

• A10: Human Proofs of Identities by Osburn and Schneider
  • Helmut Prodinger
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      DOI: 10.5281/zenodo.10068780

• A11: Number of Binomial Coefficients Divisible by a Fixed Power of a Prime
  • William B. Everett
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      DOI: 10.5281/zenodo.10068787

• A12: A Note on Deaconescu's Result Concerning Lehmer's Problem
  • Santos Hernández Hernández and Florian Luca
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      DOI: 10.5281/zenodo.10068789

• A13: Heights in Finite Projective Space, and a Problem on Directed Graphs
  • Melvyn B. Nathanson and Blair D. Sullivan
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      DOI: 10.5281/zenodo.10083840

• A14: Sturm Numbers and Substitution Invariance of 3iet Words
  • Pierre Arnoux, Valérie Berthé, Zuzana Masáková, and Edita Pelantová
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      DOI: 10.5281/zenodo.10083847

• A15: An Identity for Sums of Polylogarithm Functions (see also this article's Errata)
  • Steven J. Miller
    • Select Abstract Errata PDF Postscript
      DOI: 10.5281/zenodo.10083855

• A16: The Inverse Problem for Representation Functions for General Linear Forms
  • Peter Hegarty
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      DOI: 10.5281/zenodo.10083859

• A17: Generalized Reciprocity Laws for Sums of Harmonic Numbers
  • Markus Kuba, Helmut Prodinger, and Carsten Schneider
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      DOI: 10.5281/zenodo.10083867

• A18: Tiling Proofs of Some Fibonacci-Lucas Relations
  • Mark Shattuck
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      DOI: 10.5281/zenodo.10083875

• A19: A Characterization of All Equilateral Triangles in Z³
  • Ray Chandler and Eugen J. Ionascu
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      DOI: 10.5281/zenodo.10083881

• A20: Characterization of Substitution Invariant Words Coding Exchange of Three Intervals
  • Peter Baláži, Zuzana Masáková, and Edita Pelantová
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      DOI: 10.5281/zenodo.10083888

• A21: On Monochromatic Subsets of a Rectangular Grid
  • Maria Axenovich and Jacob Manske
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      DOI: 10.5281/zenodo.10083911

• A22: On Restricted Sumsets in Abelian Groups of Odd Order
  • Guoqing Wang
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      DOI: 10.5281/zenodo.10083918

• A23: Boole's Formula as a Consequence of Lagrange's Interpolating Polynomial Theorem
  • Cosmin Pohoata
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      DOI: 10.5281/zenodo.10083922

• A24: A Note on Boolean Lattices and Farey Sequences II
  • Andrey O. Matveev
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      DOI: 10.5281/zenodo.10083926

• A25: Generalized Convolution Identities for Stirling Numbers of the Second Kind
  • Takashi Agoh and Karl Dilcher
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      DOI: 10.5281/zenodo.10083942

• A26: A Multiplicity Problem Related to Schur Numbers
  • Daniel Schaal and Hunter Snevily
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      DOI: 10.5281/zenodo.10083950

• A27: Maximum Stirling Numbers of the Second Kind
  • Graeme Kemkes, Donatella Merlini, and Bruce Richmond
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      DOI: 10.5281/zenodo.10083957

• A28: On the t-core of an s-core Partition
  • Rishi Nath
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      DOI: 10.5281/zenodo.10083963

• A29: On p,q-binomial Coefficients
  • Roberto B. Corcino
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      DOI: 10.5281/zenodo.10083989

• A30: A Note on a Conjecture of Erdős-Turán
  • Csaba Sándor
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      DOI: 10.5281/zenodo.10090367

• A31: On the Distribution of the Elliptic Subset Sum Generator of Pseudorandom Numbers
  • Edwin D. El-Mahassni
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      DOI: 10.5281/zenodo.10090381

• A32: In Gaussian Integers x³ + y³ = z³ Has Only Trivial Solutions -- A New Approach
  • Elias Lampakis
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      DOI: 10.5281/zenodo.10090389

• A33: The Frobenius Number of Geometric Sequences
  • Darren C. Ong and Vadim Ponomarenko
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      DOI: 10.5281/zenodo.10090395

• A34: Extremal Orders of Compositions of Certain Arithmetical Functions
  • József Sándor and László Tóth
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      DOI: 10.5281/zenodo.10090434

• A35: Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant
  • Emilie Charlier, Michel Rigo, and Wolfgang Steiner
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      DOI: 10.5281/zenodo.10091360

• A36: Searching for Strange Hypergeometric Identities by Sheer Brute Force
  • Moa Apagodu and Doron Zeilberger
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      DOI: 10.5281/zenodo.10091372

• A37: On a Problem of Molluzzo Concerning Steinhaus Triangles in Finite Cyclic Groups
  • Jonathan Chappelon
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      DOI: 10.5281/zenodo.10091383

• A38: The Overpartition Function Modulo 128
  • Byungchan Kim
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      DOI: 10.5281/zenodo.10091395

• A39: Extensions of the Gauss-Wilson Theorem
  • John B. Cosgrave and Karl Dilcher
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      DOI: 10.5281/zenodo.10091397

• A40: Enumeration Schemes for Words Avoiding Patterns With Repeated Letters
  • Lara Pudwell
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      DOI: 10.5281/zenodo.10091413

• A41: On the Number of Subsets of [1,m] Relatively Prime to n and Asymptotic Estimates
  • Mohamed El Bachraoui
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      DOI: 10.5281/zenodo.10100538

• A42: Periodicity of Some Recurrence Sequences Modulo m
  • Artūras Dubickas and Tomas Plankis
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      DOI: 10.5281/zenodo.10100544

• A43: On the Frobenius Problem for Geometric Sequences
  • Amitabha Tripathi
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      DOI: 10.5281/zenodo.10100550

• A44: Generalized Cauchy Determinants
  • Thomas M. Richardson
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      DOI: 10.5281/zenodo.10100559

• A45: Universal Sets and the Vector Game
  • Zhivko Nedev
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      DOI: 10.5281/zenodo.10100566

• A46: Sum-product Estimates Applied to Waring's Problem Mod p
  • Todd Cochrane and Christopher Pinner
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      DOI: 10.5281/zenodo.10100570

• A47: Factorization of Constants Involved in Conjectural Moments of Zeta-functions
  • Jam Germain
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      DOI: 10.5281/zenodo.10100578

• A48: Distance in the Affine Buildings of SL_n and Sp_n
  • Alison Setyadi
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      DOI: 10.5281/zenodo.10100586

• A49: Partial Transposes of Permutation Matrices
  • Qing-Hu Hou, Toufik Mansour, and Simone Severini
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      DOI: 10.5281/zenodo.10100594

• A50: The Fourier Transform of Functions of the Greatest Common Divisor
  • Wolfgang Schramm
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      DOI: 10.5281/zenodo.10100600

• A51: Analogues of Two Classical Theorems on the Representations of a Number
  • R. S. Melham
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      DOI: 10.5281/zenodo.10130783

• A52: Generalizations of Some Zero-sum Theorems
  • Sukumar Das Adhikari, Chantal David, and Jorge Jiménez Urroz
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      DOI: 10.5281/zenodo.10130797

• A53: On a Relation Between the Riemann Zeta Function and the Stirling Numbers
  • Hirotaka Sato
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      DOI: 10.5281/zenodo.10130871

• A54: Hereditary Tiling Sets of the Integers
  • S. Eigen and A. Hajian
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      DOI: 10.5281/zenodo.10130889

• A55: On the Diophantine Equation x² + 3^m = yⁿ
  • Tao Liqun
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      DOI: 10.5281/zenodo.10130945

• A56: Divisibility by 2 and 3 of Certain Stirling Numbers
  • Donald M. Davis
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      DOI: 10.5281/zenodo.10131015

• A57: Lagrange Inversion and Stirling Number Convolutions
  • Robin Chapman
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      DOI: 10.5281/zenodo.10131081

• A58: A Note on B₂[G] Sets
  • Gang Yu
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      DOI: 10.5281/zenodo.10131097

• A59: On the Congruence N ≡ A (mod ϕ(N))
  • William D. Banks, Ahmet M. Güloğlu, and C. Wesley Nevans
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      DOI: 10.5281/zenodo.10131108

• A60: Divisibility Properties of the 5-regular and 13-regular Partition Functions
  • Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder
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      DOI: 10.5281/zenodo.10131121

• A61: Resolution of the Mixed Sierpiński Problem
  • Louis Helm, Phil Moore, Payam Samidoost, and George Woltman
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      DOI: 10.5281/zenodo.10131189

Games Articles

• G1: Some Observations and Solutions to Short and Long Global Nim
  • Jeffery James and Mark Schlatter
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.10135325

• G2: Konane has Infinite Nim-dimension
  • Carlos Pereira dos Santos and Jorge Nuno Silva
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      DOI: 10.5281/zenodo.10135334

• G3: Solitaire Clobber Played on Hamming Graphs
  • Paul Dorbec, Eric Duchêne, and Sylvain Gravier
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.10135347

• G4: Solitaire Clobber as an Optimization Problem on Words
  • Vincent D. Blondel, Julien M. Hendrickx, and Raphaël M. Jungers
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      DOI: 10.5281/zenodo.10135363

• G5: Subtraction with a Muller Twist
  • D. G. Horrocks and M. A. Trenton
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.10135377

• G6: The Game of Cutblock
  • Alessandro Cincotti
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      DOI: 10.5281/zenodo.10135391

• G7: Proof Trees for Weak Achievement Games
  • Nándor Sieben
    • Select Abstract PDF Postscript
      DOI: 10.5281/zenodo.10135407

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