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

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..58

Formula

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

Prog

(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)))

Crossrefs

Cf. A303307, A303361, A303381, A303441.

Sequence in context: A295207 A213457 A060595 * A086619 A294373 A194026

Adjacent sequences: A303437 A303438 A303439 * A303441 A303442 A303443

Keyword

nonn

Author

Seiichi Manyama, Apr 24 2018

Status

approved