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

Terms

a(0) =1a(1) =-1a(2) =-1a(3) =-2a(4) =0a(5) =-1a(6) =2a(7) =3a(8) =11a(9) =8a(10) =19a(11) =13a(12) =22a(13) =-5a(14) =-10a(15) =-80a(16) =-105a(17) =-246a(18) =-303a(19) =-502a(20) =-506a(21) =-681a(22) =-400a(23) =-231a(24) =873a(25) =1956a(26) =4733a(27) =7536a(28) =12891a(29) =17609