Congruences of finite summations of the coefficients in certain generating functions

zbMath1301.11015MaRDI QIDQ405253

Yeong-Nan Yeh, Po-Yi Huang, Shu-Chung Liu

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i2p45

zbMATH Keywords

generating functionscongruence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Sequences (mod (m)) (11B50)

Uses Software

• OEIS

Cites Work

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• Binomial coefficients, Catalan numbers and Lucas quotients
• On Delannoy numbers and Schröder numbers
• Lucas' theorem for prime powers
• Catalan and Motzkin numbers modulo 4 and 8
• Congruence properties of Apéry numbers
• Some congruences for Apery numbers
• Pascal's triangle (mod 8)
• On integrality and periodicity of the Motzkin numbers
• Another congruence for the Apéry numbers
• Congruence properties of Apery numbers
• Prime and prime power divisibility of Catalan numbers
• What power of two divides a weighted Catalan number?
• Congruences for Catalan and Motzkin numbers and related sequences
• On the Congruences of Some Combinatorial Numbers
• Some Congruences for Generalized Euler Numbers
• Zaphod Beeblebrox's Brian and the Fifty-ninth Row of Pascal's Triangle
• Motzkin numbers

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