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

Terms

a(0) =1a(1) =-1a(2) =-1a(3) =-2a(4) =1a(5) =-2a(6) =2a(7) =0a(8) =24a(9) =-17a(10) =31a(11) =-21a(12) =94a(13) =-107a(14) =121a(15) =-443a(16) =742a(17) =-977a(18) =532a(19) =-2159a(20) =3275a(21) =-6193a(22) =6988a(23) =-11156a(24) =30278a(25) =-39214a(26) =42759a(27) =-80255a(28) =149070a(29) =-193093