Congruences modulo powers of 2 for the number of unique path partitions
classification
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modulonumberolssonpartitionspathuniquebessenrodtclass
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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].
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