Geodesic
Generating functions related to partition formulæ for Fibonacci numbers
Journal of integer sequences, Tome 11 (2008) no. 1
The generating functions of 2 double schemes of numbers are explicitly computed using the kernel method, which leads to easy proofs of partition formulæ for Fibonacci numbers.
Classification : 11B39, 16G20
Keywords: Fibonacci numbers, generating function, kernel method 
@article{JIS_2008__11_1_a7,
     author = {Prodinger,  Helmut},
     title = {Generating functions related to partition formul{\ae} for {Fibonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {1},
     zbl = {1231.11017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a7/}
}
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Prodinger,  Helmut. Generating functions related to partition formulæ for Fibonacci numbers. Journal of integer sequences, Tome 11 (2008) no. 1. http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a7/