Determinant representations of sequences: a survey

DOI10.2478/spma-2014-0005zbMath1291.15016OpenAlexW2060478523MaRDI QIDQ2017195

Yanyan Li

Publication date: 25 June 2014

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/spma-2014-0005

zbMATH Keywords

determinantgeneralized Pascal triangle(quasi) Pascal-like matrix(quasi) Toeplitz matrixFibonacci (Lucas, Jacobsthal and Pell) sequence

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Mertens equimodular matrices of Redheffer type ⋮ Matrix methods for determinants of Pascal-like matrices

Uses Software

• OEIS

Cites Work

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• Pascal-like determinants are recursive
• Determinants of matrices related to the Pascal triangle
• Matrices determined by a linear recurrence relation among entries
• Lucas Numbers and Determinants
• New families of integer matrices whose leading principal minors form some well-known sequences
• Generalized Pascal triangles and Toeplitz matrices
• Noncirculant Toeplitz matrices all of whose powers are Toeplitz
• Some Infinite Matrices Whose Leading Principal Minors Are Well-known Sequences
• Fibonacci Determinants
• FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPAL MINORS OF SOME INFINITE MATRICES

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