A303445 - OEIS

%I #11 Apr 25 2018 05:58:06

%S 1,2,130,524588,137440010582,2305843284159782076,

%T 2475880083182464573602036628,170141183465420992188660515119769982616,

%U 748288838313762576487529438443476930331940262147046

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

%H Seiichi Manyama, <a href="/A303445/b303445.txt">Table of n, a(n) for n = 0..33</a>

%F a(n) ~ 2^(3*n^2 - 3*n + 1). - _Vaclav Kotesovec_, Apr 25 2018

%o (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)))

%Y Cf. A303440, A303444.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Apr 24 2018