A027190 Number of partitions of n into an odd number of parts, the least being 4; also, a(n+4) = number of partitions of n into an even number of parts, each >=4.

0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 6, 6, 8, 9, 12, 13, 17, 19, 25, 28, 35, 40, 50, 57, 70, 80, 98, 112, 135, 155, 186, 213, 253, 291, 345, 395, 465, 533, 625, 716, 835, 956, 1113, 1272, 1474, 1684