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

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =1a(6) =2a(7) =4a(8) =6a(9) =9a(10) =13a(11) =20a(12) =28a(13) =39a(14) =55a(15) =75a(16) =99a(17) =136a(18) =179a(19) =237a(20) =308a(21) =403a(22) =515a(23) =666a(24) =847a(25) =1079a(26) =1357a(27) =1717a(28) =2143a(29) =2680