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

Terms

a(0) =1a(1) =-1a(2) =-2a(3) =-1a(4) =-1a(5) =3a(6) =3a(7) =9a(8) =9a(9) =10a(10) =8a(11) =-1a(12) =-21a(13) =-45a(14) =-77a(15) =-130a(16) =-163a(17) =-198a(18) =-179a(19) =-108a(20) =101a(21) =451a(22) =1058a(23) =1878a(24) =2999a(25) =4276a(26) =5595a(27) =6511a(28) =6446a(29) =4443