Some combinatorial identities via Fibonacci numbers

DOI10.1016/S0166-218X(03)00331-7zbMath1020.05016MaRDI QIDQ1408463

D. Massart

Publication date: 22 September 2003

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fibonacci matrixPascal matrixStirling matrix of the first kindStirling matrix of the second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (18)

A matrix approach to the binomial theorem ⋮ Some group actions and Fibonacci numbers ⋮ $k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs ⋮ Factorizations and eigenvalues of the \((r, k)\)-bonacci matrices ⋮ Moore–Penrose inverse of generalized Fibonacci matrix and its applications ⋮ Inversion of Catalan matrix plus one ⋮ The \(k\)-Fibonacci matrix and the Pascal matrix ⋮ On some Toeplitz matrices and their inversions ⋮ A factorization of the symmetric Pascal matrix involving the Fibonacci matrix ⋮ Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices ⋮ Inversion of the generalized Fibonacci matrix by convolution ⋮ A generalization of Fibonacci and Lucas matrices ⋮ Identities via Bell matrix and Fibonacci matrix ⋮ Generalized Leibniz functional matrices and factorizations of some well-known matrices ⋮ Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power ⋮ Bernoulli matrix and its algebraic properties ⋮ Catalan matrix and related combinatorial identities ⋮ Ballot matrix as Catalan matrix power and related identities

Cites Work

• The Riordan group
• The linear algebra of the Pascal matrix
• Pascal's Matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some combinatorial identities via Fibonacci numbers