A035952 Number of partitions of n into parts not of the form 13k, 13k+4 or 13k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 5 are greater than 1.

1, 2, 3, 4, 6, 9, 12, 17, 22, 30, 39, 52, 66, 86, 109, 139, 174, 220, 272, 340, 419, 517, 632, 775, 940, 1144, 1381, 1668, 2002, 2406, 2873, 3433, 4082, 4852, 5745, 6801, 8018, 9452, 11105, 13039, 15266, 17864, 20845, 24310, 28284, 32881, 38145