|Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.4|
San Francisco State University
San Francisco, CA 94132
Abstract: Let n, r be natural numbers, with r >= 2. We present convolution-type formulas for the number of partitions of n that are (1) not divisible by r; (2) coprime to r. Another result obtained is a formula for the sum of the odd divisors of n.
Received March 21, 2002; revised version received August 20, 2002. Published in Journal of Integer Sequences August 21, 2002.