Geodesic
A partition formula for Fibonacci numbers
Journal of integer sequences, Tome 11 (2008) no. 1
We present a partition formula for the even index Fibonacci numbers. The formula is motivated by the appearance of these Fibonacci numbers in the representation theory of the socalled 3-Kronecker quiver, i.e., the oriented graph with two vertices and three arrows in the same direction.
Classification : 11B39, 16G20
Keywords: Fibonacci numbers, universal cover, 3-regular tree, 3-Kronecker quiver 
@article{JIS_2008__11_1_a2,
     author = {Fahr,  Philipp and Ringel,  Claus Michael},
     title = {A partition formula for {Fibonacci} numbers},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {1},
     zbl = {1163.11012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a2/}
}
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Fahr,  Philipp; Ringel,  Claus Michael. A partition formula for Fibonacci numbers. Journal of integer sequences, Tome 11 (2008) no. 1. http://geodesic.mathdoc.fr/item/JIS_2008__11_1_a2/