A303395 Expansion of Product_{n>=1} ((1 - (8*x)^n)/(1 + (8*x)^n))^(1/8).

1, -2, -14, -140, -586, -5628, -44492, -187864, -482906, -17262828, -37958116, 65242328, -2453533124, 21817485480, 113877127592, -2570293967536, 28064994368262, 169252831757492, -188223954450804, 12624245609040632, 54083158292451540, -158891267358816264

Offset: 0

Author

Seiichi Manyama, Apr 23 2018

Keywords

• sign

Crossrefs

Expansion of Product_{n>=1} ((1 + (2^b*x)^n)/(1 - (2^b)*x^n))^(1/(2^b)): A002448 (b=0), A303306 (b=1), A303394 (b=2), this sequence (b=3).

Cf. A303381.

Programs

PARI

N=66; x='x+O('x^N); Vec(prod(k=1, N, ((1-(8*x)^k)/(1+(8*x)^k))^(1/8)))