Congruences modulo powers of $2$ for the number of unique path partitions

Abstract

We compute the congruence class modulo 16 of the number of unique path partitions of $n$ (as defined by Olsson), thus generalising previous results by Bessenrodt, Olsson and Sellers [Ann. Combin. 13 (2013), 591-602].

arXiv commentAmS-LaTeX, 7 pages