A classification of Motzkin numbers modulo 8

zbMath1391.05022MaRDI QIDQ1753020

Guoce Xin, Ying Wang

Publication date: 25 May 2018

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/v25i1p54

zbMATH Keywords

Motzkin numberscongruence classes

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Sequences (mod (m)) (11B50)

Cites Work

• A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting
• A short approach to Catalan numbers modulo \(2^r\)
• Lucas' theorem for prime powers
• Catalan and Motzkin numbers modulo 4 and 8
• Some congruences for Apery numbers
• The method of creative telescoping
• Pascal's triangle (mod 8)
• On integrality and periodicity of the Motzkin numbers
• Congruence properties of Apery numbers
• What power of two divides a weighted Catalan number?
• Hankel determinants for some common lattice paths
• Congruences for Catalan and Motzkin numbers and related sequences
• On the Congruences of Some Combinatorial Numbers
• Zaphod Beeblebrox's Brian and the Fifty-ninth Row of Pascal's Triangle
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