Applicable Analysis and Discrete Mathematics 2011 Volume 5, Issue 2, Pages: 176-200
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Riordan matrices and sums of harmonic numbers

Munarini Emanuele

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