A note on Lucas L binomials and Ward Horadam binomials recurrences

2010/12/16 by A. K. Kwaśniewski, Andrzej Krzysztof Kwasniewski, Kwasniewski, Andrzej Krzysztof
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1012.3774

35 pp

openalex publication_date 2010/12/16 · arxiv created 2010/12/22 · arxiv updated 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We deliver here H(x)binomials recurrence formula appointed by Ward Horadam sequence of functions which in mostly considered since decades cases where chosen to be polynomials .

Citations

• On GCD-morphic sequences
• The terms in Lucas sequences divisible by their indices
• Generalization of Fibonomial Coefficients
• A Generalized Fibonacci Sequence

Related

• Note on Ward-Horadam H(x) - binomials' recurrences and related interpretations, II
• On Horadam-Lucas sequence
• Bicomplex Lucas and Horadam Numbers
• A note on V-binomials recurrence for Lucas companion to U_n sequence V_n
• Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials