The Hankel transform of the sum of consecutive generalized Catalan numbers
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Publication:3438830
DOI10.1080/10652460601092303zbMath1127.11017arXivmath/0604422OpenAlexW2047993762WikidataQ126268307 ScholiaQ126268307MaRDI QIDQ3438830
Marko D. Petković, Paul Barry, Predrag M. Rajković
Publication date: 29 May 2007
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604422
Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Other combinatorial number theory (11B75) Calculation of integer sequences (11Y55)
Related Items (16)
Catalan transform of \(k\)-balancing sequences ⋮ Closed-form expression for Hankel determinants of the Narayana polynomials ⋮ Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials ⋮ Hankel determinants of linear combinations of consecutive Catalan-like numbers ⋮ Hankel transform of a series reversion of a certain rational function ⋮ Hankel determinants of sums of consecutive Motzkin numbers ⋮ Bogoyavlensky lattices and generalized Catalan numbers ⋮ Combinatorial proofs of addition formulas ⋮ Orthogonal polynomials approach to the Hankel transform of sequences based on Motzkin numbers ⋮ Sobolev orthogonal polynomials in computing of Hankel determinants ⋮ Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation ⋮ Unnamed Item ⋮ The Hankel transform of generalized central trinomial coefficients and related sequences ⋮ Unnamed Item ⋮ The Hankel transform of aerated sequences ⋮ The Hankel transform of a sequence obtained by series reversion
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