Journal of Integer Sequences, Vol. 15 (2012), Article 12.1.2

Some n-Color Compositions

Yu-hong Guo
Department of Mathematics
Hexi University
Gansu, Zhangye, 734000
P. R. China


An n-color odd composition is defined as an n-color composition with odd parts, and an n-color composition with parts ≠ 1 is an n-color composition whose parts are > 1. In this paper, we get generating functions, explicit formulas and recurrence formulas for n-color odd compositions and n-color compositions with parts ≠ 1.

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Received June 12 2011; revised version received November 27 2011. Published in Journal of Integer Sequences, December 26 2011.

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