Expansion of g.f. A(x) satisfying Sum_{n=-oo..+oo} (x^n + A(x))^n = 1 + 3*Sum_{n>=1} x^(n^2).

Terms

a(0) =1a(1) =-1a(2) =0a(3) =3a(4) =-10a(5) =21a(6) =-25a(7) =-23a(8) =228a(9) =-737a(10) =1479a(11) =-1245a(12) =-4352a(13) =25206a(14) =-72761a(15) =128245a(16) =-38615a(17) =-697798a(18) =3109043a(19) =-8016819a(20) =11763729a(21) =6510069a(22) =-108216128a(23) =403917707a(24) =-925174519a(25) =1025709534a(26) =2228869018a(27) =-16585014721a(28) =53758505915a(29) =-107811969706