Applicable Analysis and Discrete Mathematics 2011 Volume 5, Issue 2, Pages: 176-200
https://doi.org/10.2298/AADM110609014M
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Riordan matrices and sums of harmonic numbers
Munarini Emanuele (Politecnico di Milano, Dipartimento di Matematica, Milano, Italy)
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, Stirling numbers. 2000 Mathematics Subject Classification:
Primary: 05A15; Secondary: 05A10.
Keywords: generating function, Fibonacci and Lucas number, Catalan and Motzkin number, binomial and trinomial coefficient