A303444 Expansion of Product_{k>=1} ((1 + (4^k*x)^k)/(1 - (4^k*x)^k))^(1/4^k).

1, 2, 34, 8268, 33571414, 2199090644476, 2305847408435939284, 38685630839429196310146392, 10384593794440986129804618334166246, 44601490417830435032541177335778584157585132, 3064991081820980697863893053179715579559319341564967996, 3369993333399959956498356892070248429341537193850764394491913892776

Offset: 0

Author

Seiichi Manyama, Apr 24 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..41

Crossrefs

Cf. A303440, A303445.

Programs

PARI

N=20; x='x+O('x^N); Vec(prod(k=1, N, ((1+(4^k*x)^k)/(1-(4^k*x)^k))^(1/4^k)))

Formula

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