Catalan and Motzkin numbers modulo 4 and 8

DOI10.1016/j.ejc.2007.06.019zbMath1149.11008OpenAlexW2048492341MaRDI QIDQ932826

Shu-Chung Liu, Yeong-Nan Yeh, Sen-Peng Eu

Publication date: 11 July 2008

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2007.06.019

zbMATH Keywords

Catalan numbersMotzkin numbersbinomial coefficients modulo 8

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83)

Related Items (10)

On congruence schemes for constant terms and their applications ⋮ Motzkin numbers and related sequences modulo powers of 2 ⋮ Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton ⋮ On the group structure of \([J(X), \Omega (Y)\)] ⋮ Stieltjes continued fractions related to the paperfolding sequence and Rudin-Shapiro sequence ⋮ Congruences of finite summations of the coefficients in certain generating functions ⋮ A Stern-type congruence for the Schröder numbers ⋮ EXACT p-ADIC ORDERS FOR DIFFERENCES OF MOTZKIN NUMBERS ⋮ A classification of Motzkin numbers modulo 8 ⋮ Automatic congruences for diagonals of rational functions

Cites Work

• Lucas' theorem for prime powers
• Some congruences for Apery numbers
• Pascal's triangle (mod 8)
• On integrality and periodicity of the Motzkin numbers
• Congruence properties of Apery numbers
• Prime and prime power divisibility of Catalan numbers
• Congruences for Catalan and Motzkin numbers and related sequences
• On the Congruences of Some Combinatorial Numbers
• Motzkin numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item

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