A035957 Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1.

1, 2, 2, 4, 5, 8, 10, 15, 19, 27, 34, 46, 58, 77, 96, 125, 155, 198, 244, 308, 378, 471, 574, 709, 860, 1053, 1270, 1544, 1854, 2239, 2676, 3213, 3824, 4567, 5414, 6435, 7600, 8993, 10584, 12474, 14632, 17180, 20088, 23505, 27403, 31960, 37154