Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities
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Publication:5417484
DOI10.2478/s12175-014-0203-0zbMath1349.11037OpenAlexW2051405557WikidataQ60692840 ScholiaQ60692840MaRDI QIDQ5417484
László Szalay, Hacène Belbachir, Takao Komatsu
Publication date: 21 May 2014
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s12175-014-0203-0
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37)
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Asymmetric extension of Pascal-Delannoy triangles ⋮ Sequences involving square zig-zag shapes ⋮ Unnamed Item ⋮ Generalized Pascal's triangles and associated \(k\)-Padovan-like sequences ⋮ Diagonal sums in Pascal pyramid ⋮ On $k$-generalized Lucas sequence with its triangle ⋮ The \(k\)-generalized Lucas numbers close to a power of 2 ⋮ On recurrences in generalized arithmetic triangle ⋮ Plane Section recurrences in the Pascal pyramid ⋮ Preserving log-concavity for p,q-binomial coefficient ⋮ An extension of Lucas identity via Pascal's triangle ⋮ Recurrence relation associated with the sums of square binomial coefficients ⋮ Unimodality, linear recurrences and combinatorial properties associated to rays in the generalized Delannoy matrix ⋮ A generalization of hyperbolic Pascal triangles ⋮ Second order linear difference equations
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