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Volume 12 (2012)
A1:
The Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables
Vladimir Shevelev
A2:
A (-β)-Expansion Associated to Sturmian Sequences
Fumihiko Nakano and Taizo Sadahiro
A3:
A Correlation Identity for Stern's Sequence
Michael Coons
A4:
On Weakly Complete Sequences Formed by the Greedy Algorithm
Michael P. Knapp and Michael D. Paul
A5:
Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities
Nathaniel Shar
A6:
Newman Polynomials, Reducibility, and Roots on the Unit Circle
Idris Mercer
A7:
A Property of Twin Primes
Christian Aebi and Grant Cairns
A8:
Partition of an Integer into Distinct Bounded Parts, Identities and Bounds
Mohammadreza Bidar
A9:
Primitive Prime Divisors in Zero Orbits of Polynomials
Kevin Doerksen and Anna Haensch
A10:
On the Number of Carries Occurring in an Addition Mod 2^{k}-1
Jean-Pierre Flori and Hugues Randriam
A11:
Fibonacci Variations of a Conjecture of Polignac
Lenny Jones
A12:
A Probabilistic Look at Series Involving Euler's Totient Function
Yung-Pin Chen
A13:
Extending Nathanson Heights to Arbitrary Finite Fields
Mario Huicochea
A14:
The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group
Weidong Gao and Linlin Wang
A15:
An Explicit Bound for Aliquot Cycles of Repdigits
Kevin A. Broughan
A16:
A Note on the Minimal Number of Representations in A+A
Mirosława Radziejewska
A17:
A Unified Proof of Two Classical Theorems on CNS Polynomials
Horst Brunotte
A18:
On the Problem of Molluzzo for the Modulus 4
Jonathan Chappelon and Shalom Eliahou
A19:
On Multiplicative Functions with Bounded Partial Sums
Joseph Vandehey
A20:
Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set
Toufik Mansour and Mark Shattuck
A21:
On Abelian and Additive Complexity in Infinite Words
Hayri Ardal, Tom Brown, Veselin Jungić, and Julian Sahasrabudhe
A22:
Approximations of Additive Squares in Infinite Words
Tom Brown
A23:
The Googol-th Bit of the Erdős--Borwein Constant
Richard Crandall
A24:
Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs
Shishuo Fu and James Sellers
A25:
The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers
Y. Fares and K. Johnson
A26:
Van der Waerden's Theorem on Homothetic Copies of {1,1+s, 1+s+t}
Byeong Moon and Yoomi Rho
A27:
Sum-Products Estimates with Several Sets and Applications
Antal Balog, Kevin A. Broughan, and Igor E. Shparlinski
A28:
The 2-Adic, Binary and Decimal Periods of 1/3^{k} Approach Full Complexity for Increasing k
Josefina López and Peter Stoll
A29:
A Proof of Catalan's Convolution Formula
Alon Regev
A30:
Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
Steven J. Miller, Luc Robinson, and Sean Pegado
A31:
The Impossibility of Certain Types of Carmichael Numbers
Thomas Wright
A32:
Integer Subsets with High Volume and Low Perimeter
Patrick Devlin
A33:
Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables
Noboru Ushiroya
A34:
Odd Repdigits to Small Bases are Not Perfect
Kevin A. Broughan and Qizhi Zhou
A35:
The (r_{1},...,r_{p})-Stirling Numbers of the Second Kind
Miloud Mihoubi and Mohammed Said Maamra
A36:
Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies
L'ubomíra Balková
A37:
On k-Lehmer Numbers
José María Grau and Antonio M. Oller-Marcén
A38:
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
Ayhan Dil and Veli Kurt
A39:
Reciprocal Power Sums
Anthony Sofo
A40:
Two Theta Function Identities of Ramanujan and Representation of a Number as a Sum of Three Squares and as a Sum of Three Triangular Numbers
Nayandeep Deka Baruah and Bidyut Boruah
A41:
Distribution and Additive Properties of Sequences With Terms Involving Sumsets in Prime Fields
Victor Cuauhtemoc García
A42:
On Some Problems of Gyarmati and Sárközy
Le Anh Vinh
A43:
Arithmetic Progressions in the Polygonal Numbers
Kenneth A. Brown, Scott M. Dunn, and Joshua Harrington
A44:
Ordre Maximum d'une Fonction Liée aux Diviseurs d'un Nombre Entier
Abdallah Derbal
A45:
Supercongruences for a Truncated Hypergeometric Series
Roberto Tauraso
A46:
Computing the Van der Waerden Number W(3,4)=293
Michal Kouril
A47:
A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function
Johannes F. Morgenbesser and Lukas Spiegelhofer
A48:
On a Combinatorial Conjecture of Tu and Deng
Guixin Deng and Pingzhi Yuan
A49:
Inverses of Motzkin and Schröder Paths
Heinrich Niederhausen
A50:
GoNII: Universal Quaternary Quadratic Forms
Pete L. Clark, Jacob Hicks, Katherine Thompson, and Nathan Walters
A51:
Long Minimal Zero-Sum Sequences in the Group C_{2}⊕ C_{2k}
Svetoslav Savchev and Fang Chen
A52:
Obtaining All or Half of U_{n} as ⟨ x ⟩ x ⟨ x+1 ⟩
D.A. Preece and Ian Anderson
A53:
A Note on Partitions of Natural Numbers and Their Representation Functions
Wen Yu and Min Tang
A54:
The Number of Representations of a Number as Sums of Various Polygonal Numbers
Nayandeep Deka Baruah and Bipul Kumar Sarmah
A55:
(k+1)-Sums Versus k-Sums
Simon Griffiths
A56:
Primes of Prescribed Congruence Class in Short Intervals
John Cullinan and Farshid Hajir
A57:
On the Diophantine Equation Π x_{i} = Σ x_{i}
Andreas Weingartner
A58:
On the Stern Sequence and Its Twisted Version
J.-P. Allouche
A59:
Convolution Identities for Stirling Numbers of the First Kind Via Involution
Mark Shattuck
A60:
Euler-type Identities for Integer Compositions Via Zig-Zag Graphs
Augustine O. Munagi
A61:
On Finite Sums of Good and Shar that Involve Reciprocals of Fibonacci Numbers
R. S. Melham
A62:
A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid
Jeremy F. Alm and Jacob Manske
A63:
A Result on Ramanujan-Like Congruence Properties of the Restricted Partition Function p(n,m) Across Both Variables
Brandt Kronholm
A64:
Triangular Numbers in the Jacobsthal Family
Thomas Koshy and Zhenguang Gao
A65:
The Diophantine Equation X^{4}+Y^{4}=D^{2}Z^{4} in Quadratic Fields
Melissa Emory
A66:
On the Value Distribution of Error Sums for Approximations With Rational Numbers
Carsten Elsner and Martin Stein
A67:
Newman Polynomials Not Vanishing on the Unit Circle
Idris Mercer
Games Articles
G1:
Two-Color Babylon
Agelos Georgakopoulos and Peter Winkler
G2:
A Generalized Diagonal Wythoff Nim
Urban Larsson
G3:
A Recursive Process Related to a Partizan Variation of Wythoff
Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and Sandra Vinagre
G4:
On Supplements of 2 x m Board in Toppling Towers