Pascal-like determinants are recursive

DOI10.1016/j.aam.2003.09.004zbMath1059.05009OpenAlexW2049109279MaRDI QIDQ705238

Helena Zakrajšek, Marko Petkovsek

Publication date: 26 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.aam.2003.09.004

zbMATH Keywords

determinantslinear recurrencesPascal triangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Matrices, determinants in number theory (11C20)

Related Items

Mertens equimodular matrices of Redheffer type, The determinants of matrices with recursive entries, On spectral asymptotic of quasi-exactly solvable quartic potential, Matrix methods for determinants of Pascal-like matrices, Determinant representations of sequences: a survey, A symbolic evaluation of determinants of matrices with recursive entries, FIBONACCI AND LUCAS SEQUENCES AS THE PRINCIPAL MINORS OF SOME INFINITE MATRICES, Advanced determinant calculus: a complement, A periodic determinantal property for (0,1) double banded matrices

Uses Software

• DODGSON

Cites Work

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• The method of creative telescoping
• Determinants of matrices related to the Pascal triangle
• Linear recurrences with constant coefficients: The multivariate case
• Evaluations of some determinants of matrices related to the Pascal triangle
• The diagonal of a double power series
• Advanced determinant calculus: a complement
• Reverend Charles to the Aid of Major Percy and Fields Medalist Enrico
• Determinants through the looking glass