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OALib Journal期刊
ISSN: 2333-9721
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RIORDAN MATRICES AND SUMS OF HARMONIC NUMBERS

DOI: 10.2298/aadm110609014m

Keywords: Generating function , Fibonacci and Lucas number , Catalan and Motzkin number , binomial and trinomial coefficient

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Abstract:

We obtain a general identity involving the row-sums of a Riordan matrixand 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.

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