A036025 Number of partitions of n into parts not of form 4k+2, 20k, 20k+2 or 20k-2. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.

1, 1, 1, 2, 3, 3, 4, 6, 8, 9, 11, 15, 19, 22, 27, 35, 42, 49, 59, 73, 88, 102, 121, 147, 174, 202, 237, 282, 331, 382, 445, 523, 608, 699, 808, 940, 1085, 1241, 1426, 1646, 1887, 2150, 2456, 2814, 3210, 3642, 4140, 4717, 5353, 6051, 6848, 7761, 8770, 9879