Fahr, Philipp; Ringel, Claus Michael

A partition formula for Fibonacci numbers

J. Integer Seq. 11(1), Article 08.1.4, 9 p., electronic only (2008)

Summary

Summary: 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.

Mathematics Subject Classification

11B39, 16G20

Keywords/Phrases

Fibonacci numbers, universal cover, 3-regular tree, 3-Kronecker quiver

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