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%I #7 Oct 04 2014 07:46:58
%S 3,5,0,9,1,9,8,0,7,1,7,4,1,4,3,2,3,6,4,3,0,2,2,9,5,8,9,0,5,6,2,7,6,3,
%T 8,0,9,3,1,1,4,6,0,4,3,9,8,5,3,4,5,9,0,7,3,8,8,8,6,4,9,1,2,2,6,1,8,9,
%U 6,3,0,9,8,2,9,1,5,3,8,7,2,6,7,8,9,4,0
%N Decimal expansion of Dedekind eta(4*I).
%C See A091343.
%H Stanislav Sykora, <a href="/A248192/b248192.txt">Table of n, a(n) for n = 0..2000</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Dedekind_eta_function">Dedekind eta function</a>
%F eta(4*I) = c*eta(I) = c*Gamma(1/4)/(2*Pi^(3/4)) = c*A091343, with c = 2^(-13/16)*(sqrt(2)-1)^(1/4).
%e 0.35091980717414323643022958905627638093114604398534590...
%t RealDigits[N[(Sqrt[2]-1)^(1/4)*Gamma[1/4]/(2^(29/16)*Pi^(3/4)),120]][[1]] (* _Vaclav Kotesovec_, Oct 04 2014 *)
%o (PARI) eta(4*I,1)
%Y Cf. A091343 (eta(I)), A248190, A248191.
%K nonn,cons,easy
%O 0,1
%A _Stanislav Sykora_, Oct 04 2014
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