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05-XX Combinatorics
05Axx Enumerative combinatorics
05A10 Factorials, binomial coefficients, combinatorial functions

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Displaying 21 – 38 of 38

A short proof of a series evaluation in terms of harmonic numbers.

Panholzer, Alois, Prodinger, Helmut (2009)

Integers

Advanced determinant calculus.

Krattenthaler, Christian (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

Algorithmus für Bell'sche Polynome

Robert Karpe (1972)

Archivum Mathematicum

Almost product evaluation of Hankel determinants.

Eğecioğlu, Ömer, Redmond, Timothy, Ryavec, Charles (2008)

The Electronic Journal of Combinatorics [electronic only]

An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.

Herbert S. Wilf, Doron Zeilberger (1992)

Inventiones mathematicae

An asymptotic expansion for the Catalan-Larcombe-French sequence.

Clark, Lane (2004)

Journal of Integer Sequences [electronic only]

An asymptotic expansion for the number of permutations with a certain number of inversions.

Clark, Lane (2000)

The Electronic Journal of Combinatorics [electronic only]

An elementary proof of a congruence by Skula and Granville

Romeo Meštrović (2012)

Archivum Mathematicum

Let $p \geq 5$ be a prime, and let $q_{p} (2) : = (2^{p - 1} - 1) / p$ be the Fermat quotient of $p$ to base $2$ . The following curious congruence was conjectured by L. Skula and proved by A. Granville $q_{p} {(2)}^{2} \equiv - \sum_{k = 1}^{p - 1} \frac{2^{k}}{k^{2}} (mod p) .$ In this note we establish the above congruence by entirely elementary number theory arguments.

An identity for the independence polynomials of trees.

Gutman, Ivan (1991)

Publications de l'Institut Mathématique. Nouvelle Série

An inversion formula, matrix functions, combinatorial identities and graphs

Antonín Vrba (1973)

Časopis pro pěstování matematiky

Around The Nuber Of Chains In Partitive Sets

Đuro Kurepa (1982)

Publications de l'Institut Mathématique

Asymptotic behavior of Pascal's triangle modulo a prime

Brad Wilson (1998)

Acta Arithmetica

Asymptotic expansion of the equipoise curve of a polynomial inequality.

Eggleton, Roger B., Galvin, William P. (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Asymptotic expansions of certain sums involving powers of binomial coefficients.

Zhao, Chun-Xue, Zhao, Feng-Zhen (2010)

Journal of Integer Sequences [electronic only]

Asymptotic form for generalized factorial

Daniel Minoli (1977)

Revista colombiana de matematicas

Asymptotics for Lacunary sums of binomial coefficients and a card problem with ranks.

Lengyel, Tamás (2007)

Journal of Integer Sequences [electronic only]

Asymptotics of some convolutional recurrences.

Bender, Edward A., Olde Daalhuis, Adri B., Gao, Zhicheng, Richmond, L.Bruce, Wormald, Nicholas (2010)

The Electronic Journal of Combinatorics [electronic only]

Avoiding 2-letter signed patterns.

Mansour, Toufik, West, Julian (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

Currently displaying 21 – 38 of 38

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