Product_{n>=1} (1 + x^n)^a(n) = 1 + Sum_{n>=1} prime(n+1) * x^n.

Terms

a(0) =3a(1) =2a(2) =0a(3) =4a(4) =-4a(5) =6a(6) =-8a(7) =11a(8) =0a(9) =-18a(10) =40a(11) =-67a(12) =88a(13) =-78a(14) =-4a(15) =205a(16) =-524a(17) =926a(18) =-1234a(19) =1060a(20) =140a(21) =-2998a(22) =7900a(23) =-14132a(24) =18858a(25) =-16280a(26) =-2710a(27) =48783a(28) =-127826a(29) =228784