Expansion of Product_{k>=2} 1/(1 - x^k)^p(k), where p(k) = number of partitions of k (A000041).

Terms

a(0) =1a(1) =0a(2) =2a(3) =3a(4) =8a(5) =13a(6) =31a(7) =53a(8) =112a(9) =201a(10) =393a(11) =710a(12) =1343a(13) =2409a(14) =4431a(15) =7912a(16) =14255a(17) =25223a(18) =44787a(19) =78519a(20) =137700a(21) =239347a(22) =415343a(23) =716001a(24) =1231326a(25) =2106287a(26) =3593141a(27) =6102679a(28) =10335269a(29) =17437476