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Decimal expansion of Dedekind eta(I/2).
4

%I #10 Oct 04 2014 07:48:23

%S 8,3,7,7,5,5,7,6,3,4,7,6,5,9,8,0,5,7,9,1,2,3,6,5,9,9,7,0,0,3,2,1,2,3,

%T 7,5,6,8,3,0,6,1,5,8,0,8,9,5,1,3,9,1,5,0,6,1,9,7,4,5,2,1,0,8,4,6,3,4,

%U 8,8,4,3,0,2,5,0,7,3,9,3,0,0,2,6,1,4,2,4,5,6,4,9,2,7,5,3,8,2,9,7,6,2,9,5,7,0

%N Decimal expansion of Dedekind eta(I/2).

%C See A091343.

%H Stanislav Sykora, <a href="/A248190/b248190.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(I/2) = 2^(1/8)*eta(I) = 2^(1/8)*Gamma(1/4)/(2*Pi^(3/4)) = 2^(1/8)*A091343.

%e 0.837755763476598057912365997003212375683061580895139150619745210...

%t RealDigits[2^(1/8)*Gamma[1/4]/(2*Pi^(3/4)),10,120][[1]] (* _Vaclav Kotesovec_, Oct 04 2014 *)

%o (PARI) eta(I/2,1)

%Y Cf. A091343 (eta(I)), A248191, A248192.

%K nonn,cons,easy

%O 0,1

%A _Stanislav Sykora_, Oct 03 2014