Compositions of positive integers with \(2s\) and \(3s\)

DOI10.1515/dema-2022-0227MaRDI QIDQ6165014

Hamza Menken, Orhan Dişkaya

Publication date: 28 July 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

zbMATH Keywords

compositionsFibonacci numbersbinomialsPascal trianglepalindromicPadovan numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Enumeration and asymptotics of restricted compositions having the same number of parts
• Matrix sequences in terms of Padovan and Perrin numbers
• Dom Hans Van der Laan and the plastic number
• Padovan-like sequences and Bell polynomials
• Avoiding patterns of length three in compositions and multiset permutations
• Pattern avoidance in compositions and multiset permutations
• Expected Number of Distinct Part Sizes in a Random Integer Composition
• Fibonacci and Lucas Numbers with Applications
• Compositions, Partitions, and Fibonacci Numbers
• On The Padovan p-Numbers
• Fibonacci and Lucas Numbers With Applications
• On the Multiplicity of Parts in a Random Composition of a Large Integer
• Combinatorics of Compositions and Words
• Compositions and Fibonacci Identities
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