Recurrence relation associated with the sums of square binomial coefficients

DOI10.2989/16073606.2020.1729269zbMath1465.05006OpenAlexW3166262075MaRDI QIDQ4992628

Hacène Belbachir, Abdelghani Mehdaoui

Publication date: 9 June 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1729269

zbMATH Keywords

generating functionrecurrence relationsquare binomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37)

Uses Software

• OEIS

Cites Work

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• Some recurrences for sums of powers of binomial coefficients
• Sum of the reciprocals of the binomial coefficients
• The method of creative telescoping
• A criterion for the applicability of Zeilberger's algorithm to rational functions
• Diagonal sums in Pascal pyramid
• Periods of morgan-voyce sequences and elliptic curves
• Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities

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