Two Questions about the Fractional Counting of Partitions

Doron Zeilberger, Noam Zeilberger

Published 2018-10-30Version 1

We recall the notion of fractional enumeration and immediately focus on the fractional counting of integer partitions, where each partition gets credit equal to the reciprocal of the product of its parts. We raise two intriguing questions regarding this count, and for each of these questions, we are pledging a 100 US dollars donation to the OEIS in honor of the first solver.