A370780 Expansion of ( (1 + x)*(1 - 17*x)*(1 + 289*x) )^(1/3).

1, 91, -9828, 1535868, -294731892, 62322050700, -13990450587012, 3270320252339868, -787131217405990548, 193694053976566000812, -48497295306135216560292, 12313491783703337923916220, -3162498663877264843739477172

Offset: 0

Author

Seiichi Manyama, Mar 01 2024

Keywords

• sign

Comments

The cube root of F(x) = (1 + x)*(1 - (3*k+2)*x)*(1 + (3*k+2)^2*x) is an integer series because F(x) == (1+x)*(1 + 2*x - 8*x^2) == (1+x)^3 (mod 9).

Crossrefs

Cf. A370145, A370149, A370779.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(((1+x)*(1-17*x)*(1+289*x))^(1/3))