Journal of Integer Sequences, Vol. 10 (2007), Article 07.9.5

Playing with Some Identities of Andrews


Donatella Merlini and Renzo Sprugnoli
Dipartimento di Sistemi e Informatica
Università di Firenze
viale Morgagni 65
50134 Firenze
Italy

Abstract:

We study two remarkable identities of Andrews relating Fibonacci numbers and binomial coefficients in terms of generating functions and Riordan arrays. We thus give a deeper insight to the problem and find several new identities involving many other well-known sequences.

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(Concerned with sequences A000012 A000045 A000079 A000129 A000225 A000244 A001045 A005578 A006053 A016116 A028495 A030436 A038754 A084179 A099163 A108411 and A121720 .)

Received July 13 2007; revised version received September 21 2007. Published in Journal of Integer Sequences, September 23 2007.

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