A027188 a(n) = number of partitions of n into an odd number of parts, the least being 2; also a(n+2) = number of partitions of n into an even number of parts, each >=2.

0, 1, 0, 0, 0, 1, 1, 2, 2, 4, 4, 6, 7, 11, 12, 17, 20, 28, 33, 44, 52, 69, 82, 105, 126, 161, 191, 239, 286, 355, 423, 520, 618, 755, 896, 1084, 1285, 1549, 1829, 2190, 2583, 3079, 3621, 4297, 5041, 5960, 6977, 8214, 9595, 11264, 13123