Number of partitions p of n such that (number of numbers of the form 3k+1 in p) is a part of p.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =6a(7) =10a(8) =12a(9) =18a(10) =25a(11) =33a(12) =45a(13) =63a(14) =77a(15) =107a(16) =139a(17) =177a(18) =231a(19) =302a(20) =372a(21) =486a(22) =612a(23) =762a(24) =969a(25) =1214a(26) =1489a(27) =1879a(28) =2315a(29) =2839