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


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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