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A175380 Decimal expansion of Gamma(1/5). 18

%I #30 Sep 08 2022 08:45:51

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

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

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

%N Decimal expansion of Gamma(1/5).

%H G. C. Greubel, <a href="/A175380/b175380.txt">Table of n, a(n) for n = 1..5000</a>

%H R. Vidunas, <a href="http://arxiv.org/abs/math/0403510">Expressions for values of the Gamma function</a>, arxiv:math/0403510 [math.CA], 2004.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function#General_rational_arguments">Particular values of the Gamma function: General rational arguments</a>

%H <a href="/index/Ga#gamma_function">Index to sequences related to the gamma function</a>

%F Equals Pi * sqrt(2) * sqrt(5 + sqrt(5)) / (sqrt(5) * Gamma(4/5) ) = A063448 * sqrt(5 + A002163) / (A002163 * Gamma(4/5)) where Gamma(4/5) = A340722.

%e Equals 4.590843711998803053204758275929152...

%p evalf(GAMMA(1/5));

%t RealDigits[Gamma[1/5],10,120][[1]] (* _Harvey P. Dale_, May 26 2011 *)

%o (PARI) gamma(1/5) \\ _G. C. Greubel_, Jan 15 2017

%o (Magma) SetDefaultRealField(RealField(100)); Gamma(1/5); // _G. C. Greubel_, Mar 10 2018

%K cons,nonn

%O 1,1

%A _R. J. Mathar_, Apr 24 2010

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)