We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. From this identity, we deduce several particular identities involving numbers of combinatorial interest, such as generalized Fibonacci and Lucas numbers, Catalan numbers, binomial and trinomial coefficients and Stirling numbers.

Riordan matrices and sums of harmonic numbers

MUNARINI, EMANUELE
2011-01-01

Abstract

We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. From this identity, we deduce several particular identities involving numbers of combinatorial interest, such as generalized Fibonacci and Lucas numbers, Catalan numbers, binomial and trinomial coefficients and Stirling numbers.
2011
Riordan matrices; Harmonic numbers; Combinatorial identites
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/637130
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