Vol. 13 of the Journal of Integer Sequences

Journal of Integer Sequences

Volume 13, 2010

Issue 1

Article 10.1.1: Rafael Jakimczuk,
"Functions of Slow Increase and Integer Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.2: Jean-Marie De Koninck and Imre Kátai,
"Some Remarks on a Paper of L. Toth"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.3: N. Baccar and A. Zekraoui,
"Sets with Even Partition Functions and 2-adic Integers II"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.4: Alexander Brown, Eleanor Dannenberg, Jennifer Fox, Joshua Hanna, Katherine Keck,
Alexander Moore, Zachary Robbins, Brandon Samples, and James Stankewicz
"On a Generalization of the Frobenius Number"
(Abstract, pdf, ps, dvi, tex, comment)

Article 10.1.5: Kevin A. Broughan and Qizhi Zhou,
"Divisibility by 3 of Even Multiperfect Numbers of Abundancy 3 and 4"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.6: Bruce Dearden and Jerry Metzger,
"Running Modulus Recursions"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.7: Pedro Berrizbeitia, Florian Luca, and Ray Melham,
"On a Compositeness Test for (2^p+1)/3"
(Abstract, pdf, ps, dvi, tex)

Article 10.1.8: Claudio de Jesús Pita Ruiz Velasco,
"Convolution and Sulanke Numbers"
(Abstract, pdf, ps, dvi, tex)

Issue 2

Article 10.2.1: Jonathan Chappelon,
"On the Multiplicative Order of aⁿ Modulo n"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.2: Tomi Kärki, Anne Lacroix and Michel Rigo
"On the Recognizability of Self-Generating Sets"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.3: Michael F. Challis and John P. Robinson
"Some Extremal Postage Stamp Bases"
(Abstract, pdf, ps, dvi, tex)
(Addendum, July 30 2013, pdf, latex)

Article 10.2.4: Chris Smyth,
"The Terms in Lucas Sequences Divisible by Their Indices"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.5: Martin Griffiths and István Mező,
"A Generalization of Stirling Numbers of the Second Kind via a Special Multiset"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.6: Jocelyn Quaintance and Harris Kwong,
"Permutations and Combinations of Colored Multisets"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.7: Tomislav Došlić,
"Handshakes Across a (Round) Table"
(Abstract, pdf, ps, dvi, tex)

Article 10.2.8: Anthony Sofo,
"Integrals and Polygamma Representations for Binomial Sums"
(Abstract, pdf, ps, dvi, tex)

Issue 3

Article 10.3.1: Farideh Firoozbakht and Maximilian F. Hasler,
"Variations on Euclid's Formula for Perfect Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.2: Jean-Marc Fédou and Gabriele Fici,
"Some Remarks on Differentiable Sequences and Recursivity"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.3: Brian K. Miceli,
"m-Partition Boards and Poly-Stirling Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.4: Jiagui Luo and Pingzhi Yuan,
"A Generalization of the Question of Sierpiński on Geometric Progressions"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.5: Moussa Benoumhani and Messaoud Kolli,
"Finite Topologies and Partitions"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.6: Max B. Kutler and C. Ryan Vinroot,
"On q-Analogs of Recursions for the Number of Involutions and Prime Order Elements in Symmetric Groups"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.7: Xiaodong Cao and Wenguang Zhai,
"Some Arithmetic Functions Involving Exponential Divisors"
(Abstract, pdf, ps, dvi, tex)

Article 10.3.8: Hong-Mei Liu, Shu-Hua Qi and Shu-Yan Ding,
"Some Recurrence Relations for Cauchy Numbers of the First Kind"
(Abstract, pdf, ps, dvi, tex)

Issue 4

Article 10.4.1: Chun-Xue Zhao and Feng-Zhen Zhao,
"Asymptotic Expansions of Certain Sums Involving Powers of Binomial Coefficients"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.2: Jiaqiang Pan,
"Multiple Binomial Transforms and Families of Integer Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.3: N. J. Wildberger,
"Pell's Equation without Irrational Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.4: Steve Butler and Pavel Karasik,
"A Note on Nested Sums"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.5: Miloud Mihoubi,
"Partial Bell Polynomials and Inverse Relations"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.6: Yuan He and Wenpeng Zhang,
"Sum Relations for Lucas Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.7: Deyu Zhang and Wenguang Zhai,
"Mean Values of a Gcd-Sum Function Over Regular Integers Modulo n"
(Abstract, pdf, ps, dvi, tex)

Article 10.4.8: H. G. Grundman,
"Semihappy Numbers"
(Abstract, pdf, ps, dvi, tex)

Issue 5

Article 10.5.1: Sandro Mattarei and Roberto Tauraso,
"Congruences of Multiple Sums Involving Sequences Invariant Under the Binomial Transform"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.2: Ken Kamano,
"Sums of Products of Bernoulli Numbers, Including Poly-Bernoulli Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.3: Giedrius Alkauskas,
"Congruence Properties of the Function that Counts Compositions into Powers of 2"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.4: Shu-Chung Liu and Jean C.-C. Yeh,
"Catalan Numbers Modulo 2^k"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.5: Joseph Abate and Ward Whitt,
"Integer Sequences from Queueing Theory"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.6: Andrew Niedermaier and Jeffrey Remmel,
"Analogues of Up-down Permutations for Colored Permutations"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.7: Roman Wituła,
"Full Description of Ramanujan Cubic Polynomials"
(Abstract, pdf, ps, dvi, tex)

Article 10.5.8: Takao Komatsu and Vichian Laohakosol,
"On the Sum of Reciprocals of Numbers Satisfying a Recurrence Relation of Order s"
(Abstract, pdf, ps, dvi, tex)

Issue 6

Article 10.6.1: Omar Khadir, Kálmán Liptai, and László Szalay,
"On the Shifted Product of Binary Recurrences"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.2: Matthias Beck and Thomas Zaslavsky,
"Six Little Squares and How Their Numbers Grow"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.3: Robert Styer,
"Smallest Examples of Strings of Consecutive Happy Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.4: Xiaoxia Wang,
"Integral Representations and Binomial Coefficients"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.5: Ralph P. Grimaldi,
"Tilings, Compositions, and Generalizations"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.6: Gergő Nemes,
"On the Coefficients of the Asymptotic Expansion of n!"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.7: Maxie D. Schmidt,
"Generalized j-Factorial Functions, Polynomials, and Applications"
(Abstract, pdf, ps, dvi, tex)

Article 10.6.8: Toufik Mansour and Mark Shattuck,
"Counting Peaks and Valleys in a Partition of a Set"
(Abstract, pdf, ps, dvi, tex)

Issue 7

Article 10.7.1: Olivier Bordellès,
"The Composition of the gcd and Certain Arithmetic Functions"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.2: Paul Barry,
"Generalized Catalan Numbers, Hankel Transforms and Somos-4 Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.3: Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood,
"Vacca-Type Series for Values of the Generalized Euler Constant Function and its Derivative"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.4: Nik Lygeros and Olivier Rozier,
"A New Solution to the Equation τ(p) ≡ 0 (mod p)"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.5: Roman Wituła,
"Ramanujan Cubic Polynomials of the Second Kind"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.6: Min Tang,
"Relatively Prime Sets and a Phi Function for Subsets of {1, 2, ... , n}"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.7: Stefano Barbero, Umberto Cerruti, and Nadir Murru,
"Transforming Recurrent Sequences by Using the Binomial and Invert Operators"
(Abstract, pdf, ps, dvi, tex)

Article 10.7.8: Milan Janjić,
"Hessenberg Matrices and Integer Sequences"
(Abstract, pdf, ps, dvi, tex)

Issue 8

Article 10.8.1: László Tóth,
"A Survey of Gcd-Sum Functions"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.2: Paul Barry and Aoife Hennessy,
"The Euler-Seidel Matrix, Hankel Matrices and Moment Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.3: Mark Lewko,
"An Improved Upper Bound for the Sum-free Subset Constant"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.4: Paul Barry,
"The Restricted Toda Chain, Exponential Riordan Arrays, and Hankel Transforms"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.5: Martin Griffiths,
"Counting the Regions in a Regular Drawing of K_n,n"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.6: Mohamed El Bachraoui and Mohamed Salim,
"Combinatorial Identities Involving the Möbius Function"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.7: Tanya Khovanova, Konstantin Knop, and Alexey Radul,
"Baron Münchhausen's Sequence"
(Abstract, pdf, ps, dvi, tex)

Article 10.8.8: Ning-Ning Cao and Feng-Zhen Zhao,
"Some Properties of Hyperfibonacci and Hyperlucas Numbers"
(Abstract, pdf, ps, dvi, tex)

Issue 9

Article 10.9.1: Paul Barry,
"Exponential Riordan Arrays and Permutation Enumeration"
(Abstract, pdf, ps, dvi, tex)

Article 10.9.2: Dan Drake,
"Bijections from Weighted Dyck Paths to Schröder Paths"
(Abstract, pdf, ps, dvi, tex)

Article 10.9.3: Stefan Steinerberger, WITHDRAWN
"A Note on Lacunary Lonely Runners"
(Abstract, pdf, ps, dvi, tex, erratum)

Article 10.9.4: Paul Barry and Aoife Hennessy,
"Meixner-Type Results for Riordan Arrays and Associated Integer Sequences"
(Abstract, pdf, ps, dvi, tex)

Article 10.9.5: Tom Müller
"On the Fermat Periods of Natural Numbers"
(Abstract, pdf, ps, dvi, tex)

Article 10.9.6: Zrinka Franušić,
"On the Extension of the Diophantine Pair {1,3} in Z[√d]"
(Abstract, pdf, ps, dvi, tex)

Article 10.9.7: Stefano Barbero, Umberto Cerruti, and Nadir Murru,
"A Generalization of the Binomial Interpolated Operator and its Action on Linear Recurrent Sequences"
(Abstract, pdf, ps, dvi, tex)

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