Document Type

Post-Print

Publication Date

6-2011

Abstract

A real-world application of branching processes to a problem in cell biology where the generalized Fibonacci numbers known as knacci numbers play a crucial role is described. The k-nacci sequence is used to obtain asymptotics, computational formulas, and to justify certain practical simplifications. Along the way, an explicit formula for the sum of k-nacci numbers is established.

Document Object Identifier (DOI)

10.4169/math.mag.84.3.163

Publication Information

Mathematics Magazine

Included in

Mathematics Commons

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