A303440 Expansion of Product_{k>=1} ((1 + (2^k*x)^k)/(1 - (2^k*x)^k))^(1/2^k).
1, 2, 10, 148, 8502, 2114924, 2151771524, 8800410198536, 144132802083312550, 9445021284412120235340, 2475898969479166225559648172, 2596153381122039693822323043973720, 10889040933791649565507987988056678914620
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..58
Programs
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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