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A091343 Decimal expansion of Gamma(1/4)/(2*Pi^(3/4)). 4

%I #12 Oct 04 2014 07:49:33

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

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

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

%N Decimal expansion of Gamma(1/4)/(2*Pi^(3/4)).

%C Also the value of DedekindEta(I).

%C Ramanujan found four explicit special values of Dedekind eta(z), for: z = I (this one), z = I/2 (A248190), z = 2*I (A248191), and z = 4*I (A248192). - _Stanislav Sykora_, Oct 03 2014

%H Stanislav Sykora, <a href="/A091343/b091343.txt">Table of n, a(n) for n = 0..2000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DedekindEtaFunction.html">Dedekind Eta Function</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Dedekind_eta_function">Dedekind eta function</a>

%e 0.76822542232605665900259417957618064451786691446480501467670282414363...

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

%o (PARI) eta(I,1) \\ - _Stanislav Sykora_, Oct 03 2014

%Y Cf. A248190, A248191, A248192.

%K nonn,cons,easy

%O 0,1

%A _Eric W. Weisstein_, Jan 01 2004

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Last modified September 10 06:17 EDT 2024. Contains 375773 sequences. (Running on oeis4.)