Congruences modulo powers of $2$ for the number of unique path   partitions
  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]. 
Christian Krattenthaler (Universit\"at Wien)
math.CO math.NT