Two-colored generalized Frobenius partitions and minimal-excludant sums over bipartitions

Rong Chen, Kang-Yu Wang, Yi-ning Wang

Let $\cpsi_{2,a}(n)$ denote the number of $(2,a)$-colored Frobenius partitions of weight $n$, where the two rows have prescribed length difference. We study the two cases $a=0$ and…