Geodesic
Playing with some identities of Andrews
Journal of integer sequences, Tome 10 (2007) no. 9
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.
Classification : 05A15, 05A19
Keywords: Andrews sums, Fibonacci numbers, generating functions 
@article{JIS_2007__10_9_a5,
     author = {Merlini,  Donatella and Sprugnoli,  Renzo},
     title = {Playing with some identities of {Andrews}},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {9},
     zbl = {1143.05004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a5/}
}
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Merlini,  Donatella; Sprugnoli,  Renzo. Playing with some identities of Andrews. Journal of integer sequences, Tome 10 (2007) no. 9. http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a5/