A303441 Expansion of Product_{k>=1} ((1 - (2^k*x)^k)/(1 + (2^k*x)^k))^(1/2^k).

1, -2, -6, -116, -7914, -2080044, -2143234268, -8791784539464, -144097582730402202, -9444444682320960008908, -2475861188239098437867827380, -2596143477450571483513272599120280, -10889030549158315918778789768740624543108

Offset: 0

Author

Seiichi Manyama, Apr 24 2018

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..58

Crossrefs

Cf. A303306, A303394, A303395, A303440.

Programs

PARI

N=20; x='x+O('x^N); Vec(prod(k=1, N, ((1-(2^k*x)^k)/(1+(2^k*x)^k))^(1/2^k)))

Formula

a(n) ~ -2^(n^2 - n + 1). - Vaclav Kotesovec, Apr 25 2018