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Volume 18 (2018)

• A1: 2-adic Valuations of Generalized Fibonacci Numbers of Odd Order
  • Paul Thomas Young
    • PDF Abstract
      DOI: 10.5281/zenodo.10675486

• A2: On Pattern Avoiding Indecomposable Permutations
  • Alice L.L. Gao, Sergey Kitaev, and Philip B. Zhang
    • PDF Abstract
      DOI: 10.5281/zenodo.10675488

• A3: The Largest Known Wieferich Numbers
  • Amir Akbary and Sahar Siavashi
    • PDF Abstract
      DOI: 10.5281/zenodo.10675496

• A4: Tail Of A Moebius Sum With Coprimality Conditions
  • Akhilesh P. and O. Ramaré
    • PDF Abstract
      DOI: 10.5281/zenodo.10675502

• A5: On Some Congruences for Andrews' Singular Overpartitions
  • Uha Isnaini and Pee Choon Toh
    • PDF Abstract
      DOI: 10.5281/zenodo.10675508

• A6: Arithmetic Properties of Lacunary Sums of Binomial Coefficients
  • Tamás Lengyel
    • PDF Abstract
      DOI: 10.5281/zenodo.10675510

• A7: On the Slack Euler Pair for Vector Partition
  • Shishuo Fu and Ting Hua
    • PDF Abstract
      DOI: 10.5281/zenodo.10675512

• A8: Order-Preserving Freiman Isomorphisms
  • Gagik Amirkhanyan, Albert Bush, and Ernie Croot
    • PDF Abstract
      DOI: 10.5281/zenodo.10675516

• A9: Isosceles Triangles in Q³
  • Matt Noble
    • PDF Abstract
      DOI: 10.5281/zenodo.10675518

• A10: Generalized Lerch Primes
  • René Gy
    • PDF Abstract
      DOI: 10.5281/zenodo.10675522

• A11: On Freiman's 3k-4 Theorem
  • Prem Prakash Pandey
    • PDF Abstract
      DOI: 10.5281/zenodo.10675525

• A12: Representations by Quaternary Quadratic Forms with Coefficients 1, 3, 5, or 15
  • Ayşe Alaca
    • PDF Abstract
      DOI: 10.5281/zenodo.10675527

• A13: Numbers with Three Close Factorizations and Lattice Points on Hyperbolas
  • Tsz Ho Chan
    • PDF Abstract
      DOI: 10.5281/zenodo.10675531

• A14: Characterization of the Strong Divisibility Property for Generalized Fibonacci Polynomials
  • Rigoberto Flórez, Robinson A. Higuita, and Antara Mukherjee
    • PDF Abstract
      DOI: 10.5281/zenodo.10675539

• A15: Ranges of Unitary Divisor Functions
  • Colin Defant
    • PDF Abstract
      DOI: 10.5281/zenodo.10675546

• A16: Optimal Point Sets Determining Few Distinct Triangles
  • Alyssa Epstein, Adam Lott, Steven J. Miller, and Eyvindur A. Palsson
    • PDF Abstract
      DOI: 10.5281/zenodo.10675552

• A17: Generalized Eulerian Polynomials and Some Applications
  • Claudio Pita-Ruiz
    • PDF Abstract
      DOI: 10.5281/zenodo.10675554

• A18: Weakly Holomorphic Modular Forms in Prime Power Levels of Genus Zero
  • Paul Jenkins and DJ Thornton
    • PDF Abstract
      DOI: 10.5281/zenodo.10675556

• A19: Note on Restricted Parts in Cyclic Compositions
  • Maghann Moriah Gibson, Matthew Just, and Hua Wang
    • PDF Abstract
      DOI: 10.5281/zenodo.10675562

• A20: (k,l)-Universality of Ternary Quadratic Forms ax²+by²+cz²
  • Lerna Pehlivan and Kenneth S. Williams
    • PDF Abstract
      DOI: 10.5281/zenodo.10675569

• A21: Fixed Points of Morphisms Among Binary Generalized Pseudostandard Words
  • Tereza Velká and L'ubomíra Dvořáková
    • PDF Abstract
      10.5281/zenodo.10675571

• A22: A Generalization of Congruence Properties for a Restricted Partition Function
  • Brandt Kronholm and Jonathan Rehmert
    • PDF Abstract
      DOI: 10.5281/zenodo.10675579

• A23: Asymptotic Expansions for the Average of the Generalized Omega Function
  • Mehdi Hassani
    • PDF Abstract
      DOI: 10.5281/zenodo.10675584

• A24: Exponential Sums Over Subgroups Generated by 2
  • Rafał Bystrzycki
    • PDF Abstract
      DOI: 10.5281/zenodo.10675589

• A25: A Cameron and Erdős Conjecture on Counting Primitive Sets
  • Rodrigo Angelo
    • PDF Abstract
      DOI: 10.5281/zenodo.10675591

• A26: Dirichlet's Theorem and Jacobsthal's Function
  • Idris Mercer
    • PDF Abstract
      DOI: 10.5281/zenodo.10675595

• A27: On the Sum of Integers From Some Multiplicative Sets and Some Powers of Integers
  • Timothy Foo
    • PDF Abstract
      DOI: 10.5281/zenodo.10675711

• A28: Memorial to Javier Cilleruelo: A Problem List
  • Pablo Candela, Juanjo Rué, and Oriol Serra
    • PDF Abstract
      DOI: 10.5281/zenodo.10675715

• A29: Square Classes and Divisibility Properties of Stern Polynomials
  • Karl Dilcher and Hayley Tomkins
    • PDF Abstract
      DOI: 10.5281/zenodo.10675719

• A30: On the Binary Digits of √2
  • Joseph Vandehey
    • PDF Abstract
      DOI: 10.5281/zenodo.10675724

• A31: A Note on Finite Sums of Products of Bernstein Basis Polynomials and Hypergeometric Polynomials
  • Steven P. Clark
    • PDF Abstract
      DOI: 10.5281/zenodo.10675726

• A32: On The Limiting Distributions of the Total Height On Families of Trees
  • Andrew Lohr and Doron Zeilberger
    • PDF Abstract
      DOI: 10.5281/zenodo.10675751

• A33: 2184: An Absurd (and Adsurd) Tale
  • Dana Mackenzie
    • PDF Abstract
      DOI: 10.5281/zenodo.10675754

• A34: Binary Representations and Theta Function
  • George E. Andrews and David Newman
    • PDF Abstract
      DOI: 10.5281/zenodo.10675760

• A35: Nondefective Integers With Respect to Certain Lucas Sequences of the Second Kind
  • Lawrence Somer and Michal Křížek
    • PDF Abstract
      DOI: 10.5281/zenodo.10677630

• A36: Sums of Cubes over Odd-Index Fibonacci Numbers
  • Robert Frontczak
    • PDF Abstract
      DOI: 10.5281/zenodo.10677640

• A37: Modular Hyperbolas and the Congruence ax₁x₂…x_k + bx_k+1x_k+2…x_2k ≡ c mod m
  • Anwar Ayyad, Todd Cochrane, and Sanying Shi
    • PDF Abstract
      DOI: 10.5281/zenodo.10677646

• A38: Packing Sets over Finite Abelian Groups
  • Oliver Roche-Newton, Ilya D. Shkredov, and Arne Winterhof
    • PDF Abstract
      DOI: 10.5281/zenodo.10677652

• A39: Efficient Computation of Terms of Linear Recurrence Sequences of Any Order
  • Dmitry I. Khomovsky
    • PDF Abstract
      DOI: 10.5281/zenodo.10677660

• A40: The Lind-Lehmer Constant for 3-groups
  • Stian Clem and Christopher Pinner
    • PDF Abstract
      DOI: 10.5281/zenodo.10677666

• A41: Relaxed Complete Partitions: An Error-correcting Bachet’s Problem
  • Jorge Bruno and Edwin O'Shea
    • PDF Abstract
      DOI: 10.5281/zenodo.10677675

• A42: A Method for Obtaining Fibonacci Identities
  • Dmitry I. Khomovsky
    • PDF Abstract
      DOI: 10.5281/zenodo.10677678

• A43: Hyperharmonic Numbers Can Rarely Be Integers
  • Emre Alkan, Haydar Göral, and Doğa Can Sertbaş
    • PDF Abstract
      DOI: 10.5281/zenodo.10677684

• A44: Symmetric (Not Complete Intersection) Numerical Semigroups Generated by Five Elements
  • Leonid G. Fel
    • PDF Abstract
      DOI: 10.5281/zenodo.10677688

• A45: Integer Complexity: Algorithms and Computational Results
  • Harry Altman
    • PDF Abstract
      DOI: 10.5281/zenodo.10677694

• A46: Jacobi-Type Continued Fractions and Congruences for Binomial Coefficients
  • Maxie D. Schmidt
    • PDF Abstract
      DOI: 10.5281/zenodo.10677700

• A47: On the Number of Hyper m-ary Partitions
  • Tom Edgar
    • PDF Abstract
      DOI: 10.5281/zenodo.10677714

• A48: An Improvement of an Inequality of Ochem and Rao Concerning Odd Perfect Numbers
  • Joshua Zelinsky
    • PDF Abstract
      DOI: 10.5281/zenodo.10677726

• A49: Combinatorial Proofs of Identities of Alzer and Prodinger and Some Generalizations
  • John Engbers and Christopher Stocker
    • PDF Abstract
      DOI: 10.5281/zenodo.10677732

• A50: New Congruences for Overpartitions Into Odd Parts
  • Chiranjit Ray and Rupam Barman
    • PDF Abstract
      DOI: 10.5281/zenodo.10677742

• A51: Arithmetic of the Fabius Function
  • J. Arias de Reyna
    • PDF Abstract
      DOI: 10.5281/zenodo.10677753

• A52: New Estimates for Some Functions Defined Over Primes
  • Christian Axler
    • PDF Abstract
      DOI: 10.5281/zenodo.10677755

• A53: Large Sets of t-designs and a Ramsey-type Problem
  • András Gyárfás
    • PDF Abstract
      DOI: 10.5281/zenodo.10677768

• A54: Les Endomorphismes de Q₊^* pour l’Addition des Cancres
  • Bruno Langlois
    • PDF Abstract
      DOI: 10.5281/zenodo.10677774

• A55: Major Index Over Descent for Pattern-avoiding Permutations
  • William J. Keith
    • PDF Abstract
      DOI: 10.5281/zenodo.10677779

• A56: On ℓ-th Order Gap Balancing Numbers
  • S. S. Rout and R. Thangadurai
    • PDF Abstract
      DOI: 10.5281/zenodo.10677785

• A57: The Area of the Mandelbrot Set and Zagier's Conjecture
  • Patrick F. Bray and Hieu D. Nguyen
    • PDF Abstract
      DOI: 10.5281/zenodo.10677791

• A58: An Exponential Limit Shape of Random q-proportion Bulgarian Solitaire
  • Kimmo Eriksson, Markus Jonsson, and Jonas Sjöstrand
    • PDF Abstract
      DOI: 10.5281/zenodo.10677798

• A59: On Eisenstein Primes
  • Mayank Pandey
    • PDF Abstract
      DOI: 10.5281/zenodo.10677804

• A60: On a Conjecture of De Koninick
  • Min Tang and Zhi-Jun Zhou
    • PDF Abstract
      DOI: 10.5281/zenodo.10677808

• A61: Estimates for π(x) for Large Values of x and Ramanujan's Prime Counting Inequality
  • Christian Axler
    • PDF Abstract
      DOI: 10.5281/zenodo.10677909

• A62: On a Set of Fixed Points Related to Both Fermat and Mersenne Primes
  • José Manuel Rodríguez Caballero
    • PDF Abstract
      DOI: 10.5281/zenodo.10677917

• A63: Simultaneous Approximations to ζ(2) and ζ(4)
  • Raffaele Marcovecchio
    • PDF Abstract
      DOI: 10.5281/zenodo.10680165

• A64: Applying Modular Arithmetic to Diophantine Equations
  • Ramy F. Taki ElDin
    • PDF Abstract
      DOI: 10.5281/zenodo.10680174

• A65: On Certain Quaternary Quadratic Forms
  • Kazuhide Matsuda
    • PDF Abstract
      DOI: 10.5281/zenodo.10680186

• A66: On Related Binomial Harmonic Identities
  • Anthony Sofo
    • PDF Abstract
      DOI: 10.5281/zenodo.10680192

• A67: On the Nested Local Postage Stamp Problem
  • Edgar Federico Elizeche and Amitabha Tripathi
    • PDF Abstract
      DOI: 10.5281/zenodo.10680204

• A68: The 4-Color Cubes Puzzle
  • Ethan Berkove, Andrew Eickemeyer, and Michael Schulman
    • PDF Abstract
      DOI: 10.5281/zenodo.10680216

• A69: Ternary Smirnov Words and Generating Functions
  • Helmut Prodinger
    • PDF Abstract
      DOI: 10.5281/zenodo.10680223

• A70: On Shortened Recurrence Relations for Genocchi Numbers and Polynomials
  • Takashi Agoh
    • PDF Abstract
      DOI: 10.5281/zenodo.10680231

• A71: Robin's Inequality for New Families of Integers
  • Alexander Hertlein
    • PDF Abstract
      DOI: 10.5281/zenodo.10680239

• A72: Ruth-Aaron Pairs Containing Riesel or Sierpiński Numbers
  • Elliot R. Emadian, Carrie E. Finch-Smith, and Margaret G. Kallus
    • PDF Abstract
      DOI: 10.5281/zenodo.10680243

• A73: Two Congruence Identities on Ordered Partitions
  • Rajesh P. Singh and Mritunjay Kumar Singh
    • PDF Abstract
      DOI: 10.5281/zenodo.10680253

• A74: Varga's Theorem in Number Fields
  • Pete L. Clark and Lori D. Watson
    • PDF Abstract
      DOI: 10.5281/zenodo.10680263

• A75: Aliquot Sequences With Small Starting Values
  • Wieb Bosma
    • PDF Abstract
      DOI: 10.5281/zenodo.10680270

• A76: Some q-binomial Identities Involving the Generalized q-Fibonacci Numbers
  • Emanuele Munarini
    • PDF Abstract
      DOI: 10.5281/zenodo.10680279

• A77: When the Small Divisors of a Natural Number Are in Arithmetic Progression
  • Douglas E. Iannucci
    • PDF Abstract
      DOI: 10.5281/zenodo.10680290

• A78: New Congruences and Finite Difference Equations for Generalized Factorial Functions
  • Maxie D. Schmidt
    • PDF Abstract
      DOI: 10.5281/zenodo.10680300

• A79: Almost Gap Balancing Numbers
  • Jeremiah Bartz, Bruce Dearden, and Joel Iiams
    • PDF Abstract
      DOI: 10.5281/zenodo.10682631

• A80: Ulam Sequences and Ulam Sets
  • Noah Kravitz and Stefan Steinerberger
    • PDF Abstract
      DOI: 10.5281/zenodo.10682638

• A81: The Bidirectional Ballot Polytope
  • Steven J. Miller, Carsten Peterson, Carsten Sprunger, and Roger Van Peski
    • PDF Abstract
      DOI: 10.5281/zenodo.10682650

• A82: Density of Singular Pairs of Integers
  • Roman Nedela and Carl Pomerance
    • PDF Abstract
      DOI: 10.5281/zenodo.10682654

• A83: The Adjacency-Pell-Hurwitz Numbers
  • Josh Hiller, Yeşim Aküzüm, and Ömür Deveci
    • PDF Abstract
      DOI: 10.5281/zenodo.10682656

• A84: Powers of Two as Sums of Two Padovan Numbers
  • Ana Cecilia García Lomelí and Santos Hernández Hernández
    • PDF Abstract
      DOI: 10.5281/zenodo.10682666

• A85: Eta Quotients, Eisenstein Series and Elliptic Curves
  • Ayşe Alaca, Şaban Alaca, and Zafer Selcuk Aygin
    • PDF Abstract
      DOI: 10.5281/zenodo.10682671

• A86: On the Iterates of Digit Maps
  • Zachary Chase
    • PDF Abstract
      DOI: 10.5281/zenodo.10682680

• A87: A Note on Fibonacci Numbers of Even Index
  • Achille Frigeri
    • PDF Abstract
      DOI: 10.5281/zenodo.10682683

• A88: An Equation Involving Arithmetic Functions and Riesel Numbers
  • Joshua Harrington and Lenny Jones
    • PDF Abstract
      DOI: 10.5281/zenodo.10682690

• A89: The Combinatorics of Evenly Spaced Binomial Coefficients
  • Nicholas A. Loehr and T. S. Michael
    • PDF Abstract
      DOI: 10.5281/zenodo.10682697

• A90: Lattice Point Visibility on Power Functions
  • Pamela E. Harris and Mohamed Omar
    • PDF Abstract
      DOI: 10.5281/zenodo.10682703

• A91: A Generalized Binet Formula That Counts the Tilings of a (2 x n)-board
  • Reza Kahkeshani and Meysam Arab
    • PDF Abstract
      DOI: 10.5281/zenodo.10682710

• A92: Positive-Definite Ternary Quadratic Forms Which are (4,1)-universal and (4,3)-universal
  • Lerna Pehlivan and Kenneth S. Williams
    • PDF Abstract
      DOI: 10.5281/zenodo.10682715

• A93: The Practicality of Shifted Primes
  • Victor Z. Guo and Andreas Weingartner
    • PDF Abstract
      DOI: 10.5281/zenodo.10682723

• A94: A Note on the Converse of Wolstenholme's Theorem
  • Saud Hussein
    • PDF Abstract
      DOI: 10.5281/zenodo.10682728

• A95: The Denominators of Power Sums of Arithmetic Progressions
  • Bernd C. Kellner and Jonathan Sondow
    • PDF Abstract
      DOI: 10.5281/zenodo.10682734

• A96: The Determination of 2-color Zero-sum Generalized Schur Numbers
  • Aaron Robertson, Bidisha Roy, and Subha Sarkar
    • PDF Abstract
      DOI: 10.5281/zenodo.10682740

• A97: Polynomials Related to Powers of the Dedekind Eta Function
  • Bernhard Heim and Markus Neuhauser
    • PDF Abstract
      DOI: 10.5281/zenodo.10682744

• A98: On Ozanam's Rule
  • Adam Krause and Howard Skogman
    • PDF Abstract
      DOI: 10.5281/zenodo.10682749

• A99: On Diophantine Equations Involving Sums of Fibonacci Numbers and Powers of 2
  • Kwok Chi Chim and Volker Ziegler
    • PDF Abstract
      DOI: 10.5281/zenodo.10682751

• A100: Steinhaus Triangles Generated by Vectors of the Canonical Basis
  • Josep M. Brunat and Montserrat Maureso
    • PDF Abstract
      DOI: 10.5281/zenodo.10682753

• A101: On the Number of Primes for Which a Polynomial is Eisenstein
  • Shilin Ma, Kevin J. McGown, Devon Rhodes, and Mathias Wanner
    • PDF Abstract
      DOI: 10.5281/zenodo.10682757

Games Articles

• G1: Thinning Thickets
  • Melissa Huggan and Richard J. Nowakowski
    • PDF Abstract
      DOI: 10.5281/zenodo.10682767

• G2: A Maker--Breaker Game on the Boolean Hypercube With Subcubes as Winning Sets
  • Klay Kruczek and Eric Sundberg
    • PDF Abstract
      DOI: 10.5281/zenodo.10682769

• G3: A Vertex and Edge Deletion Game on Graphs
  • Cormac O'Sullivan
    • PDF Abstract
      DOI: 10.5281/zenodo.10682777

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