INTEGERS: The Electronic Journal of Combinatorial Number Theory, Volume 9 (Year 2009)

Volumes 9 through 12 of Integers were published both at this website and also in print by deGruyter. Visit deGruyter's website for more information on the hardcopy version of Integers.

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Volume 9 (2009)

A1: On K-Imperfect Numbers (pp. 1-8)
- Weiyi Zhou and Long Zhu
A2: On Universal Binary Hermitian Forms (pp. 9-15)
- Scott Duke Kominers
A3: On Two-point Configurations in a Random Set (pp. 41-45)
- Hoi H. Nguyen
A4: On Rapid Generation of SL₂(F_q) (pp. 47-52)
- Jeremy Chapman and Alex Iosevich
A5: Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index (pp. 53-64)
- Mark Shattuck
A6: Some New Van der Waerden Numbers and Some Van der Waerden-type Numbers (pp. 65-76)
- Tanbir Ahmed
A7: Integer Partitions into Arithmetic Progressions with an Odd Common Difference (pp. 77-81)
- Sadek Bouroubi and Nesrine Benyahia Tani
A8: On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials (pp. 83-106)
- Bernd C. Kellner
A9: Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples (pp. 107-116)
- Leonid G. Fel
A10: On Newman's Conjecture and Prime Trees (pp. 117-128)
- Leanne Robertson and Ben Small
A11: The Dying Rabbit Problem Revisited (pp. 129-138)
- Antonio M. Oller-Marcén
A12: A Note on the q-Binomial Rational Root Theorem (pp. 139-140)
- Ying-Jie Lin
A13: The 3x+1 Conjugacy Map Over a Sturmian Word (pp. 141-162)
- Josefina López and Peter Stoll
A14: The Number of Relatively Prime Subsets of {1, 2, ..., n} (pp. 163-166)
- Mohamed Ayad and Omar Kihel
A15: Generalized Levinson-Durbin Sequences and Binomial Coefficients (pp. 167-175)
- Paul Shaman
A16: Neither (4k²+1) Nor (2k(k-1)+1) is a Perfect Square (pp. 177-180)
- Jin-Hui Fang
A17: Some Arithmetic Properties of Overpartition k-Tuples (pp. 181-190)
- Derrick M. Keister, James A. Sellers, and Robert G. Vary
A18: Characterizations of Midy's Property (pp. 191-197)
- Gilberto García-Pulgarín and Hernán Giraldo

Proceedings of Journées Numération 2008 in Prague
Preface

A19: Symmetric CNS Polynomials (pp. 201-214)
Horst Brunotte

A20: On the β-Expansion of an Algebraic Number in an Algebraic Base β (pp. 215-226)
Yann Bugeaud

A21: A Planar Integral Self-Affine Tile With Cantor Set Intersections With Its Neighbors (pp. 227-237)
Shu-Juan Duan, Dan Liu, and Tai-Man Tang

A22: Beta-Expansions With Negative Bases (pp. 239-259)
Shunji Ito and Taizo Sadahiro

A23: Convergence in Möbius Number Systems (pp. 261-279)
Alexandr Kazda

A24: Factor Complexity of Infinite Words Associated With Non-Simple Parry Numbers (pp. 281-310)
Karel Klouda and Edita Pelantová

A25: On the Boundary of the Set of the Closure of Contractive Polynomials (pp. 311-325)
Attila Pethő

A26: Christoffel Words and Markoff Triples (pp. 327-332)
Christophe Reutenauer
A27: Characterizations of Words With Many Periods (pp. 333-342)
Robert Tijdeman and Luca Q. Zamboni

A28: On Relatively Prime Sets (pp. 343-352)
- Mohamed Ayad and Omar Kihel
A29: Combinatorial Properties of the Antichains of a Garland (pp. 353-374)
- Emanuele Munarini
A30: φ(F_n)=F_m (pp. 375-400)
- Florian Luca and Florin Nicolae
A31: Twelfth Power Qualified Residue Difference Sets (pp. 401-410)
- Kevin Byard
A32: Conjugacy Classes and Class Number (see also this article's Corrigendum) (pp. 423-426)
- Ashay Burungale
A33: Infinite Families of Divisibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts (pp. 427-433)
- Michael D. Hirschhorn, Øystein J. Rødseth, and James A. Sellers
A34: Waring's Number in a Finite Field (pp. 435-440)
- James Arthur Cipra
A35: Lucas Diophantine Triples (pp. 441-457)
- Florian Luca and László Szalay
A36: An Analogue of the Erdős-Ginzburg-Ziv Theorem for Quadratic Symmetric Polynomials (pp. 459-465)
- Arie Bialostocki and Tran Dinh Luong
A37: Counting Determinants of Fibonacci-Hessenberg Matrices Using LU Factorizations (pp. 467-489)
- Hsuan-Chu Li, Young-Ming Chen, and Eng-Tjioe Tan
A38: A Short Proof of a Series Evaluation in Terms of Harmonic Numbers (pp. 491-496)
- Alois Panholzer and Helmut Prodinger
A39: Generalization of an Identity Involving the Generalized Fibonacci Numbers and its Applications (pp. 497-513)
- Mohammad Farrokhi D. G.
A40: Inductive Methods and Zero-sum Free Sequences (pp. 515-536)
- Gautami Bhowmik, Immanuel Halupczok, and Jan-Christoph Schlage-Puchta
A41: On the Number of Zero-Sum Subsequences of Restricted Size (pp. 537-554)
- Weidong Gao and Jiangtao Peng
A42: On the Average Asymptotic Behavior of a Certain Type of Sequence of Integers (pp. 555-567)
- Bakir Farhi
A43: On the Kernel of the Coprime Graph of Integers (pp. 569-579)
- J.W. Sander and T. Sander
A44: Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation (pp. 581-589)
- H.W. Gould and Jocelyn Quaintance
A45: Balanced Subset Sums in Dense Sets of Integers (pp. 591-603)
- Gyula Károlyi
A46: Some Results for Generalized Harmonic Numbers (pp. 605-619)
- Cong-Jiao Feng and Feng-Zhen Zhao
A47: On the Equation a^x ≡ x mod b (pp. 629-638)
- Jam Germain
A48: A New Generalization of Fibonacci Sequence and Extended Binet's Formula (pp. 639-654)
- Marcia Edson and Omer Yayenie
A49: On Rainbow Solutions to an Equation with a Quadratic Term (pp. 655-670)
- Tong Zhan
A50: The Finite Heine Transformation and Conjugate Durfee Squares (pp. 691-698)
- Michael Rowell and Ae Ja Yee
A51: A Short Note on the Difference Between Inverses of Consecutive Integers Modulo p (pp. 699-702)
- Tsz Ho Chan
A52: Factorization Results with Combinatorial Proofs (pp. 703-709)
- Keresztély Corrádi and Sándor Szabó
A53: Squares in (1²+m²)...(n²+m²) (pp. 711-723)
- Pak Tung Ho
A54: On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence (pp. 717-723)
- Arie Bialostocki and Bryan Wilson
A55: Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins (pp. 725-734)
- Edray Herber Goins
A56: Une Forme Effective d'un Théorème de Bateman sur la Fonction Phi d'Euler (pp. 735-744)
- Abdallah Derbal
A57: Differences of Multiple Fibonacci Numbers (pp. 745-749)
- Hannah Alpert

Games Articles

G1: The Shortest Game of Chinese Checkers and Related Problems (pp. 17-39)
- George I. Bell
G2: On Pebbling Graphs By Their Blocks (pp. 411-422)
- Dawn Curtis, Taylor Hines, Glenn Hurlbert, and Tatiana Moyer
G3: On the Complexity of N-Player Hackenbush (pp. 621-627)
- Alessandro Cincotti
G4: 2-Pile Nim with a Restricted Number of Move-size Imitations (pp. 671-690)
- Urban Larsson