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

Terms

a(0) =1a(1) =0a(2) =1a(3) =2a(4) =5a(5) =8a(6) =18a(7) =30a(8) =61a(9) =107a(10) =203a(11) =358a(12) =663a(13) =1162a(14) =2093a(15) =3666a(16) =6481a(17) =11258a(18) =19652a(19) =33874a(20) =58464a(21) =100046a(22) =171032a(23) =290563a(24) =492745a(25) =831393a(26) =1399655a(27) =2346707a(28) =3924873a(29) =6541472