Journal of Integer Sequences, Vol. 11 (2008), Article 08.1.4

A Partition Formula for Fibonacci Numbers

Philipp Fahr and Claus Michael Ringel
Fakultät für Mathematik
Universität Bielefeld
P. O. Box 100 131
D-33501 Bielefeld


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.

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(Concerned with sequences A110122 and A132262 .)

Received August 13 2007; revised version received January 22 2008. Published in Journal of Integer Sequences, February 9 2008.

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