A303445 Expansion of Product_{k>=1} ((1 + (8^k*x)^k)/(1 - (8^k*x)^k))^(1/8^k).

1, 2, 130, 524588, 137440010582, 2305843284159782076, 2475880083182464573602036628, 170141183465420992188660515119769982616, 748288838313762576487529438443476930331940262147046

Offset: 0

Author

Seiichi Manyama, Apr 24 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..33

Crossrefs

Cf. A303440, A303444.

Programs

PARI

N=20; x='x+O('x^N); Vec(prod(k=1, N, ((1+(8^k*x)^k)/(1-(8^k*x)^k))^(1/8^k)))

Formula

a(n) ~ 2^(3*n^2 - 3*n + 1). - Vaclav Kotesovec, Apr 25 2018