a(n) = [x^n] 1/(Sum_{k>=0} x^(k^3))^n.

Terms

a(0) =1a(1) =-1a(2) =3a(3) =-10a(4) =35a(5) =-126a(6) =462a(7) =-1716a(8) =6427a(9) =-24220a(10) =91718a(11) =-348712a(12) =1330238a(13) =-5088916a(14) =19515660a(15) =-75000600a(16) =288772795a(17) =-1113688667a(18) =4301387580a(19) =-16635049690a(20) =64410064110a(21) =-249659926890a(22) =968651123520