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%I #14 Apr 25 2018 05:59:55
%S 1,2,10,148,8502,2114924,2151771524,8800410198536,144132802083312550,
%T 9445021284412120235340,2475898969479166225559648172,
%U 2596153381122039693822323043973720,10889040933791649565507987988056678914620
%N Expansion of Product_{k>=1} ((1 + (2^k*x)^k)/(1 - (2^k*x)^k))^(1/2^k).
%H Seiichi Manyama, <a href="/A303440/b303440.txt">Table of n, a(n) for n = 0..58</a>
%F a(n) ~ 2^(n^2 - n + 1). - _Vaclav Kotesovec_, Apr 25 2018
%o (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)))
%Y Cf. A303307, A303361, A303381, A303441.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Apr 24 2018