Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers

Anjelin Mariya Johnson, James A. Sellers, S. N. Fathima

Let $a_k(n)$ denote the number of partitions of $n$ wherein even parts come in only one color, while the odd parts may be ``colored" with one of $k$ colors, for fixed $k$. In this…