A118053 Number of partitions of n which do not contain their signature as a subpartition.
0, 0, 1, 1, 1, 2, 3, 5, 6, 8, 10, 14, 19, 26, 34, 45, 57, 74, 92, 118, 147, 185, 230, 287, 355, 441
Offset: 0
Examples
For n=3, signature([3]) = [1] is a subpartition of [3], signature([2,1]) = [1^2] is a subpartition of [2,1], but signature([1^3]) = [3] is not a subpartition of [1^3], so a(3)=1.