A027195 Number of partitions of n into an even number of parts, the least being 3; also, a(n+3) = number of partitions of n into an odd number of parts, each >=3.

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 9, 10, 13, 16, 20, 24, 31, 36, 45, 54, 66, 78, 97, 114, 138, 164, 197, 232, 280, 328, 392, 461, 546, 639, 758, 884, 1041, 1215, 1425, 1657, 1941, 2250, 2624, 3041, 3534, 4084, 4740, 5465