Congruences modulo powers of 2 and 3 for a restricted binary partition function a la Andrews and Lewis
DOI:
https://doi.org/10.11575/cdm.v12i1.62236Abstract
Let $W(n)$ denote the number of partitions of $n$ into powers of 2 such that for all $i\geq 0$, $2^{2i}$ and $2^{2i+1}$ cannot both be parts of a particular partition. Recently, Lan and Sellers proved a number of congruences modulo 2, 3 and 4. In this note, we prove a number of Ramanujan-type congruences modulo powers of 2 and 3.Downloads
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