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Volume 12 (2012)
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A1: The Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables
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A2: A (-β)-Expansion Associated to Sturmian Sequences
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Fumihiko Nakano and Taizo Sadahiro
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A3: A Correlation Identity for Stern's Sequence
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A4:
On Weakly Complete Sequences Formed by the Greedy Algorithm
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Michael P. Knapp and Michael D. Paul
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A5:
Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities
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A6:
Newman Polynomials, Reducibility, and Roots on the Unit Circle
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A7:
A Property of Twin Primes
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Christian Aebi and Grant Cairns
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A8:
Partition of an Integer into Distinct Bounded Parts, Identities and Bounds
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A9:
Primitive Prime Divisors in Zero Orbits of Polynomials
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Kevin Doerksen and Anna Haensch
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A10:
On the Number of Carries Occurring in an Addition Mod 2k-1
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Jean-Pierre Flori and Hugues Randriam
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A11:
Fibonacci Variations of a Conjecture of Polignac
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A12:
A Probabilistic Look at Series Involving Euler's Totient Function
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A13:
Extending Nathanson Heights to Arbitrary Finite Fields
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A14:
The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group
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Weidong Gao and Linlin Wang
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A15:
An Explicit Bound for Aliquot Cycles of Repdigits
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A16:
A Note on the Minimal Number of Representations in A+A
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A17:
A Unified Proof of Two Classical Theorems on CNS Polynomials
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A18:
On the Problem of Molluzzo for the Modulus 4
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Jonathan Chappelon and Shalom Eliahou
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A19:
On Multiplicative Functions with Bounded Partial Sums
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A20:
Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set
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Toufik Mansour and Mark Shattuck
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A21:
On Abelian and Additive Complexity in Infinite Words
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Hayri Ardal, Tom Brown, Veselin Jungić, and Julian Sahasrabudhe
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A22:
Approximations of Additive Squares in Infinite Words
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A23:
The Googol-th Bit of the Erdős--Borwein Constant
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A24:
Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs
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Shishuo Fu and James Sellers
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A25:
The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers
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A26:
Van der Waerden's Theorem on Homothetic Copies of {1,1+s, 1+s+t}
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Byeong Moon Kim and Yoomi Rho
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A27:
Sum-Products Estimates with Several Sets and Applications
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Antal Balog, Kevin A. Broughan, and Igor E. Shparlinski
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A28:
The 2-Adic, Binary and Decimal Periods of 1/3k Approach Full Complexity for Increasing k
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Josefina López and Peter Stoll
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A29:
A Proof of Catalan's Convolution Formula
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A30:
Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
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Steven J. Miller, Luc Robinson, and Sean Pegado
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A31:
The Impossibility of Certain Types of Carmichael Numbers
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A32:
Integer Subsets with High Volume and Low Perimeter
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A33:
Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables
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A34:
Odd Repdigits to Small Bases are Not Perfect
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Kevin A. Broughan and Qizhi Zhou
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A35:
The (r1,...,rp)-Stirling Numbers of the Second Kind
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Miloud Mihoubi and Mohammed Said Maamra
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A36:
Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies
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A37:
On k-Lehmer Numbers
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José María Grau and Antonio M. Oller-Marcén
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A38:
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
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A39:
Reciprocal Power Sums
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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
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Nayandeep Deka Baruah and Bidyut Boruah
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A41:
Distribution and Additive Properties of Sequences With Terms Involving Sumsets in Prime Fields
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A42:
On Some Problems of Gyarmati and Sárközy
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A43:
Arithmetic Progressions in the Polygonal Numbers
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Kenneth A. Brown, Scott M. Dunn, and Joshua Harrington
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A44:
Ordre Maximum d'une Fonction Liée aux Diviseurs d'un Nombre Entier
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A45:
Supercongruences for a Truncated Hypergeometric Series
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A46:
Computing the Van der Waerden Number W(3,4)=293
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A47:
A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function
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Johannes F. Morgenbesser and Lukas Spiegelhofer
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A48:
On a Combinatorial Conjecture of Tu and Deng
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Guixin Deng and Pingzhi Yuan
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A49:
Inverses of Motzkin and Schröder Paths
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A50:
GoNII: Universal Quaternary Quadratic Forms
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Pete L. Clark, Jacob Hicks, Katherine Thompson, and Nathan Walters
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A51:
Long Minimal Zero-Sum Sequences in the Group C2⊕ C2k
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Svetoslav Savchev and Fang Chen
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A52:
Obtaining All or Half of Un as ⟨ x ⟩ x ⟨ x+1 ⟩
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D.A. Preece and Ian Anderson
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A53:
A Note on Partitions of Natural Numbers and Their Representation Functions
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A54:
The Number of Representations of a Number as Sums of Various Polygonal Numbers
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Nayandeep Deka Baruah and Bipul Kumar Sarmah
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A55:
(k+1)-Sums Versus k-Sums
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A56:
Primes of Prescribed Congruence Class in Short Intervals
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John Cullinan and Farshid Hajir
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A57:
On the Diophantine Equation Π xi = Σ xi
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A58:
On the Stern Sequence and Its Twisted Version
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A59:
Convolution Identities for Stirling Numbers of the First Kind Via Involution
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A60:
Euler-type Identities for Integer Compositions Via Zig-Zag Graphs
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A61:
On Finite Sums of Good and Shar that Involve Reciprocals of Fibonacci Numbers
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A62:
A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid
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Jeremy F. Alm and Jacob Manske
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A63:
A Result on Ramanujan-Like Congruence Properties of the Restricted Partition Function p(n,m) Across Both Variables
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A64:
Triangular Numbers in the Jacobsthal Family
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Thomas Koshy and Zhenguang Gao
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A65:
The Diophantine Equation X4+Y4=D2Z4 in Quadratic Fields
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A66:
On the Value Distribution of Error Sums for Approximations With Rational Numbers
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Carsten Elsner and Martin Stein
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A67:
Newman Polynomials Not Vanishing on the Unit Circle
Games Articles
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G1:
Two-Color Babylon
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Agelos Georgakopoulos and Peter Winkler
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G2:
A Generalized Diagonal Wythoff Nim
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G3:
A Recursive Process Related to a Partizan Variation of Wythoff
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Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and Sandra Vinagre
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G4:
On Supplements of 2 x m Board in Toppling Towers
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Wen An Liu, Haifeng Li, Yingbin Ma, and Bei Li
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G5:
Edge Animal Weak (1,2)-Achievement Games
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Ian Douglas and Nándor Sieben