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Journal of Integer Sequences, Volume 17
Volume 17, Number 1, 2014
- István Mezö:
Periodicity of the Last Digits of Some Combinatorial Sequences. 14.1.1 - Serkan Araci, Xiangxing Kong, Mehmet Açikgöz, Erdogan Sen:
A New Approach to Multivariate q-Euler Polynomials Using the Umbral Calculus. 14.1.2 - Christian Ballot:
On a Congruence of Kimball and Webb Involving Lucas Sequences. 14.1.3 - Li-Na Zheng, Rui Liu, Feng-Zhen Zhao:
On the Log-Concavity of the Hyperfibonacci Numbers and the Hyperlucas Numbers. 14.1.4 - Luca Ferrari, Emanuele Munarini:
Enumeration of Edges in Some Lattices of Paths. 14.1.5 - Yangzhou Hu:
On the Number of Fixed-Length Semiorders. 14.1.6 - Soichi Ikeda, Kaneaki Matsuoka:
On the Lcm-Sum Function. 14.1.7 - Soufiane Mezroui, Abdelmalek Azizi, M'hammed Ziane:
On a Conjecture of Farhi. 14.1.8
Volume 17, Number 2, 2014
- Neven Elezovic:
Asymptotic Expansions of Central Binomial Coefficients and Catalan Numbers. 14.2.1 - H. W. Gould, Jocelyn Quaintance:
Bernoulli Numbers and a New Binomial Transform Identity. 14.2.2 - Paul Barry:
Generalized Stirling Numbers, Exponential Riordan Arrays, and Toda Chain Equations. 14.2.3 - Randell Heyman:
On the Number of Polynomials of Bounded Height that Satisfy the Dumas Criterion. 14.2.4 - Mirac Cetin Firengiz, Dursun Tasci, Naim Tuglu:
Some Identities for Fibonacci and Incomplete Fibonacci p-Numbers via the Symmetric Matrix Method. 14.2.5 - Paul Barry:
Constructing Exponential Riordan Arrays from Their A and Z Sequences. 14.2.6 - Barry Balof, Helen Jenne:
Tilings, Continued Fractions, Derangements, Scramblings, and e. 14.2.7 - Sadegh Nazardonyavi, Semyon B. Yakubovich:
Extremely Abundant Numbers and the Riemann Hypothesis. 14.2.8
Volume 17, Number 3, 2014
- Deepak Subedi:
Complementary Bell Numbers and p-adic Series. 14.3.1 - Shane Chern:
Fermat Numbers in Multinomial Coefficients. 14.3.2 - Sergey Kitaev, Jeffrey B. Remmel:
The 1-Box Pattern on Pattern-Avoiding Permutations. 14.3.3 - Jukka Kohonen, Jukka Corander:
Addition Chains Meet Postage Stamps: Reducing the Number of Multiplications. 14.3.4 - Milan Janjic, Boris Petkovic:
A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers. 14.3.5 - Rigoberto Flórez, Robinson A. Higuita, Leandro Junes:
GCD Property of the Generalized Star of David in the Generalized Hosoya Triangle. 14.3.6 - Mohamed Ayad, Vincenzo Coia, Omar Kihel:
The Number of Relatively Prime Subsets of a Finite Union of Sets of Consecutive Integers. 14.3.7 - Stefano Barbero:
Dickson Polynomials, Chebyshev Polynomials, and Some Conjectures of Jeffery. 14.3.8
Volume 17, Number 4, 2014
- Helmut Prodinger:
A Short Proof of Carlitz’s Bernoulli Number Identity. 14.4.1 - José Luis Ramírez, Víctor F. Sirvent:
Incomplete Tribonacci Numbers and Polynomials. 14.4.2 - Hacène Belbachir, Amine Belkhir:
Combinatorial Expressions Involving Fibonacci, Hyperfibonacci, and Incomplete Fibonacci Numbers. 14.4.3 - Carsten Elsner:
On Error Sums for Square Roots of Positive Integers with Applications to Lucas and Pell Numbers. 14.4.4 - Kohtaro Imatomi, Masanobu Kaneko, Erika Takeda:
Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values. 14.4.5 - Guo-Dong Liu, H. M. Srivastava, Hai-Qing Wang:
Some Formulas for a Family of Numbers Analogous to the Higher-Order Bernoulli Numbers. 14.4.6 - Gregory P. B. Dresden, Zhaohui Du:
A Simplified Binet Formula for k-Generalized Fibonacci Numbers. 14.4.7 - C. R. Carroll:
Cyclic Products of Purely Periodic Irrationals. 14.4.8
Volume 17, Number 5, 2014
- Paul Barry:
Comparing Two Matrices of Generalized Moments Defined by Continued Fraction Expansions. 14.5.1 - Hua Sun, Yi Wang:
A Combinatorial Proof of the Log-Convexity of Catalan-Like Numbers. 14.5.2 - José Luis Cereceda:
Iterative Procedure for Hypersums of Powers of Integers. 14.5.3 - Muhammet Cihat Dagli, Mümün Can:
On Reciprocity Formulas for Apostol's Dedekind Sums and Their Analogues. 14.5.4 - Mark Shattuck:
Combinatorial Proofs of Some Formulas for Triangular Tilings. 14.5.5 - Alireza Moghaddamfar, Hadiseh Tajbakhsh:
More Determinant Representations for Sequences. 14.5.6 - Urban Larsson:
Wythoff Nim Extensions and Splitting Sequences. 14.5.7 - Emrah Kiliç, Helmut Prodinger:
A Note on the Conjecture of Ramirez and Sirvent. 14.5.8
Volume 17, Number 6, 2014
- Joseph Vandehey:
A Simpler Normal Number Construction for Simple Lüroth Series. 14.6.1 - Helmut Prodinger:
Counting Palindromes According to r-Runs of Ones Using Generating Functions. 14.6.2 - M. A. Nyblom:
On the Average Path Length of Complete m-ary Trees. 14.6.3 - Martin Griffiths:
Generating Functions for Extended Stirling Numbers of the First Kind. 14.6.4 - Ray S. Melham:
Finite Reciprocal Sums Involving Summands that are Balanced Products of Generalized Fibonacci Numbers. 14.6.5 - Max A. Alekseyev, Szabolcs Tengely:
On Integral Points on Biquadratic Curves and Near-Multiples of Squares in Lucas Sequences. 14.6.6 - Jitender Singh:
On an Arithmetic Convolution. 14.6.7 - Jukka Kohonen:
A Meet-in-the-Middle Algorithm for Finding Extremal Restricted Additive 2-Bases. 14.6.8
Volume 17, Number 7, 2014
- Christian Stump:
On a New Collection of Words in the Catalan Family. 14.7.1 - Benoît Jubin:
Asymptotic Series for Hofstadter's Figure-Figure Sequences. 14.7.2 - D. Barsky, J.-P. Bézivin:
p-adic Properties of Lengyel's Numbers. 14.7.3 - Joshua Harrington, Lenny Jones, Alicia Lamarche:
Representing Integers as the Sum of Two Squares in the Ring Zn. 14.7.4 - Jennifer Lansing:
Largest Values for the Stern Sequence. 14.7.5 - Bakir Farhi:
An Elementary Proof that any Natural Number can be Written as the Sum of Three Terms of the Sequence ⌊n2/3 ⌋. 14.7.6 - Kurt Girstmair:
On the Asymptotic Behavior of Dedekind Sums. 14.7.7 - Tanya Khovanova, Joshua Xiong:
Nim Fractals. 14.7.8
Volume 17, Number 8, 2014
- Grady Bullington, Linda Eroh, Steven J. Winters:
Prisoners and Guards on Rectangular Boards. 14.8.1 - Dan Ismailescu, Jaesung Son:
A New Kind of Fibonacci-Like Sequence of Composite Numbers. 14.8.2 - Jhon J. Bravo, Florian Luca:
Powers of Two as Sums of Two Lucas Numbers. 14.8.3 - Romeo Mestrovic:
On a Congruence Modulo n3 Involving Two Consecutive Sums of Powers. 14.8.4 - Brandon Avila, Tanya Khovanova:
Free Fibonacci Sequences. 14.8.5 - Maurice-Étienne Cloutier, Jean-Marie De Koninck, Nicolas Doyon:
On the Powerful and Squarefree Parts of an Integer. 14.8.6 - Isao Kiuchi, Makoto Minamide:
On the Dirichlet Convolution of Completely Additive Functions. 14.8.7 - Evis Ieronymou:
Congruences Involving Sums of Ratios of Lucas Sequences. 14.8.8
Volume 17, Number 9, 2014
- Rui Duarte, António Guedes de Oliveira:
A Famous Identity of Hajós in Terms of Sets. 14.9.1 - Kevin A. Broughan, Qizhi Zhou:
On the Ratio of the Sum of Divisors and Euler's Totient Function II. 14.9.2 - Antônio Francisco Neto:
Higher Order Derivatives of Trigonometric Functions, Stirling Numbers of the Second Kind, and Zeon Algebra. 14.9.3 - Diego Marques:
On Generalized Cullen and Woodall Numbers That are Also Fibonacci Numbers. 14.9.4 - Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee:
Alternating Sums in the Hosoya Polynomial Triangle. 14.9.5 - Michael D. Hirschhorn, James A. Sellers:
A Congruence Modulo 3 for Partitions into Distinct Non-Multiples of Four. 14.9.6 - Milan Janjic:
A Generating Function for Numbers of Insets. 14.9.7 - Liuquan Wang:
Another Proof of a Conjecture by Hirschhorn and Sellers on Overpartitions. 14.9.8
Volume 17, Number 10, 2014
- Diego Marques, Tamás Lengyel:
The 2-adic Order of the Tribonacci Numbers and the Equation Tn = m! 14.10.1 - James D. Currie:
The Least Self-Shuffle of the Thue-Morse Sequence. 14.10.2 - Alina F. Y. Zhao:
Pattern Popularity in Multiply Restricted Permutations. 14.10.3 - Thorsten Neuschel:
A Note on Extended Binomial Coefficients. 14.10.4 - Yu-hong Guo:
n-Color Odd Self-Inverse Compositions. 14.10.5 - Miloud Mihoubi, Hacène Belbachir:
Linear Recurrences for r-Bell Polynomials. 14.10.6 - Emily Allen, Irina Gheorghiciuc:
A Weighted Interpretation for the Super Catalan Numbers. 14.10.7 - Jessica Ginepro, Thomas C. Hull:
Counting Miura-ori Foldings. 14.10.8
Volume 17, Number 11, 2014
- Keith R. Matthews:
Lagrange's Algorithm Revisited: Solving at2 + btu + cu2 = n in the Case of Negative Discriminant. 14.11.1 - Prapanpong Pongsriiam:
Exact Divisibility by Powers of the Fibonacci and Lucas Numbers. 14.11.2 - Tomislav Doslic:
Kepler-Bouwkamp Radius of Combinatorial Sequences. 14.11.3 - Ivica Martinjak, Dragutin Svrtan:
New Identities for the Polarized Partitions and Partitions with d-Distant Parts. 14.11.4 - Alejandra Alvarado, Jean-Joël Delorme:
On the Diophantine Equation x4 + y4 + z4 + t4 = w2. 14.11.5 - László Tóth:
Counting Solutions of Quadratic Congruences in Several Variables Revisited. 14.11.6 - Wolfdieter Lang:
On Collatz Words, Sequences, and Trees. 14.11.7 - Barry R. Smith:
Reducing Quadratic Forms by Kneading Sequences. 14.11.8
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