A284645 Number of partitions of n^2 that are the sum of n not necessarily distinct partitions of n.
1, 1, 3, 10, 55, 266, 1974, 11418, 88671, 613756, 4884308
Offset: 0
Examples
a(0) = 1: the empty partition. a(1) = 1: 1. a(2) = 3: 22, 211, 1111. a(3) = 10: 333, 3321, 32211, 33111, 222111, 321111, 2211111, 3111111, 21111111, 111111111. (Two of the A206226(3) = 12 partitions are not counted here: 3222, 22221.)