Ramanujan-type Congruences for Broken 2-Diamond Partitions Modulo 3

William Y. C. Chen, Anna R. B. Fan, Rebecca T. Yu

The notion of broken $k$-diamond partitions was introduced by Andrews and Paule. Let ${\Delta }_k(n)$ denote the number of broken k-diamond partitions of $n$. They also posed three conject…