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ORCIDIntegers, Volume 12
Volume 12, 2012
- Vladimir Shevelev:
The Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables. A1 - Fumihiko Nakano, Taizo Sadahiro:
A (-β)-Expansion Associated to Sturmian Sequences. A2 - Michael Coons:
A Correlation Identity for Stern's Sequence. A3 - Michael P. Knapp, Michael D. Paul:
On Weakly Complete Sequences Formed by the Greedy Algorithm. A4 - Nathaniel Shar:
Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities. A5 - Idris David Mercer:
Newman Polynomials, Reducibility, and Roots on the Unit Circle. A6 - Christian Aebi, Grant Cairns:
A Property of Twin Primes. A7 - Mohammadreza Bidar:
Partition of an Integer into Distinct Bounded Parts, Identities and Bounds. A8 - Kevin Doerksen, Anna Haensch:
Primitive Prime Divisors in Zero Orbits of Polynomials. A9 - Jean-Pierre Flori, Hugues Randriam:
On the Number of Carries Occurring in an Addition Mod 2k-1. A10 - Lenny Jones:
Fibonacci Variations of a Conjecture of Polignac. A11 - Yung-Pin Chen:
A Probabilistic Look at Series Involving Euler's Totient Function. A12 - Mario Huicochea:
Extending Nathanson Heights to Arbitrary Finite Fields. A13 - Weidong Gao, Linlin Wang:
The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group. A14 - Kevin A. Broughan:
An Explicit Bound for Aliquot Cycles of Repdigits. A15 - Miroslawa Radziejewska:
A Note on the Minimal Number of Representations in A+A. A16 - Horst Brunotte:
A Unified Proof of Two Classical Theorems on CNS Polynomials. A17 - Jonathan Chappelon, Shalom Eliahou:
On the Problem of Molluzzo for the Modulus 4. A18 - Joseph Vandehey:
On Multiplicative Functions with Bounded Partial Sums. A19 - Toufik Mansour, Mark Shattuck:
Avoiding Type (1, 2) or (2, 1) Patterns in a Partition of a Set. A20 - Hayri Ardal, Tom C. Brown, Veselin Jungic, Julian Sahasrabudhe:
On Abelian and Additive Complexity in Infinite Words. A21 - Tom C. Brown:
Approximations of Additive Squares in Infinite Words. A22 - Richard E. Crandall:
The Googol-th Bit of the Erdős--Borwein Constant. A23 - Shishuo Fu, James A. Sellers:
Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs. A24 - Youssef Fares, Keith Johnson:
The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers. A25 - Byeong Moon Kim, Yoomi Rho:
Van der Waerden's Theorem on Homothetic Copies of {1, 1+s, 1+s+t}. A26 - Antal Balog, Kevin A. Broughan, Igor E. Shparlinski:
Sum-Products Estimates with Several Sets and Applications. A27 - Josefina López, Peter Stoll:
The 2-Adic, Binary and Decimal Periods of 1/3k Approach Full Complexity for Increasing k. A28 - Alon Regev:
A Proof of Catalan's Convolution Formula. A29 - Steven J. Miller, Luc Robinson, Sean Pegado:
Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets. A30 - Thomas Wright:
The Impossibility of Certain Types of Carmichael Numbers. A31 - Patrick Devlin:
Integer Subsets with High Volume and Low Perimeter. A32 - Noboru Ushiroya:
Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables. A33 - Kevin A. Broughan, Qizhi Zhou:
Odd Repdigits to Small Bases are Not Perfect. A34 - Miloud Mihoubi, Mohammed Said Maamra:
The (r1, ..., rp)-Stirling Numbers of the Second Kind. A35 - L'ubomíra Balková:
Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies. A36 - José María Grau, Antonio M. Oller-Marcén:
On k-Lehmer Numbers. A37 - Ayhan Dil, Veli Kurt:
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I. A38 - Anthony Sofo:
Reciprocal Power Sums. A39 - Nayandeep Deka Baruah, Bidyut Boruah:
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. A40 - Victor Cuauhtemoc García:
Distribution and Additive Properties of Sequences With Terms Involving Sumsets in Prime Fields. A41 - Le Anh Vinh:
On Some Problems of Gyarmati and Sárközy. A42 - Kenneth A. Brown, Scott M. Dunn, Joshua Harrington:
Arithmetic Progressions in the Polygonal Numbers. A43 - Abdallah Derbal:
Ordre Maximum d'une Fonction Liée aux Diviseurs d'un Nombre Entier. A44 - Roberto Tauraso:
Supercongruences for a Truncated Hypergeometric Series. A45 - Michal Kouril:
Computing the Van der Waerden Number W(3, 4)=293. A46 - Johannes F. Morgenbesser, Lukas Spiegelhofer:
A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function. A47 - Guixin Deng, Pingzhi Yuan:
On a Combinatorial Conjecture of Tu and Deng. A48 - Heinrich Niederhausen:
Inverses of Motzkin and Schröder Paths. A49 - Pete L. Clark, Jacob Hicks, Katherine Thompson, Nathan Walters:
GoNII: Universal Quaternary Quadratic Forms. A50 - Svetoslav Savchev, Fang Chen:
Long Minimal Zero-Sum Sequences in the Group C2⊕ C2k. A51 - Donald A. Preece, Ian Anderson:
Obtaining All or Half of Un as 〈 x 〉 x 〈 x+1 〉. A52 - Wen Yu, Min Tang:
A Note on Partitions of Natural Numbers and Their Representation Functions. A53 - Nayandeep Deka Baruah, Bipul Kumar Sarmah:
The Number of Representations of a Number as Sums of Various Polygonal Numbers. A54 - Simon Griffiths:
(k+1)-Sums Versus k-Sums. A55 - John Cullinan, Farshid Hajir:
Primes of Prescribed Congruence Class in Short Intervals. A56 - Andreas Weingartner:
On the Diophantine Equation Π xi = Σ xi. A57 - Jean-Paul Allouche:
On the Stern Sequence and Its Twisted Version. A58 - Mark Shattuck:
Convolution Identities for Stirling Numbers of the First Kind Via Involution. A59 - Augustine O. Munagi:
Euler-type Identities for Integer Compositions Via Zig-Zag Graphs. A60 - Ray S. Melham:
On Finite Sums of Good and Shar that Involve Reciprocals of Fibonacci Numbers. A61 - Jeremy F. Alm, Jacob Manske:
A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid. A62 - Brandt Kronholm:
A Result on Ramanujan-Like Congruence Properties of the Restricted Partition Function p(n, m) Across Both Variables. A63 - Thomas Koshy, Zhenguang Gao:
Triangular Numbers in the Jacobsthal Family. A64 - Melissa Emory:
The Diophantine Equation X4+Y4=D2Z4 in Quadratic Fields. A65 - Carsten Elsner, Martin Stein:
On the Value Distribution of Error Sums for Approximations With Rational Numbers. A66 - Idris David Mercer:
Newman Polynomials Not Vanishing on the Unit Circle. A67 - Agelos Georgakopoulos, Peter Winkler:
Two-Color Babylon. G1 - Urban Larsson:
A Generalized Diagonal Wythoff Nim. G2 - Alda Carvalho, Carlos Pereira dos Santos, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, Sandra Vinagre:
A Recursive Process Related to a Partizan Variation of Wythoff. G3 - Wen An Liu, Haifeng Li, Yingbin Ma, Bei Li:
On Supplements of 2 x m Board in Toppling Towers. G4 - Ian Douglas, Nándor Sieben:
Edge Animal Weak (1, 2)-Achievement Games. G5
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