|Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.3|
Abstract: Let be fixed positive integers, and let be any set of positive integers. Let denote the set of all integers representable as a sum of no more than elements of , and let denote the largest integer such that . Let , where the maximum is taken over all sets with elements. The purpose of this note is to determine when the elements of are in arithmetic progression. In particular, we determine the value of .
(Concerned with sequences A014616 .)
Received July 1 2005; revised version received December 15 2005. Published in Journal of Integer Sequences December 15 2005.