A027196 Number of partitions of n into an even number of parts, the least being 4; also, a(n+4) = number of partitions of n into an odd number of parts, each >=4.

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 12, 14, 17, 20, 25, 29, 35, 41, 50, 58, 70, 81, 97, 113, 134, 156, 185, 214, 252, 292, 343, 396, 463, 534, 623, 718, 833, 958, 1110, 1274, 1471, 1686