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%I #33 Apr 10 2024 03:29:31
%S 9,5,1,3,5,0,7,6,9,8,6,6,8,7,3,1,8,3,6,2,9,2,4,8,7,1,7,7,2,6,5,4,0,2,
%T 1,9,2,5,5,0,5,7,8,6,2,6,0,8,8,3,7,7,3,4,3,0,5,0,0,0,0,7,7,0,4,3,4,2,
%U 6,5,3,8,3,3,2,2,8,2,1,0,1,1,5,3,7,1,6,3,7,9,4,2,6,6,4,4,7,2,0,9,7,9,7,3
%N Decimal expansion of Gamma(1/10).
%H G. C. Greubel, <a href="/A256191/b256191.txt">Table of n, a(n) for n = 1..5000</a>
%H <a href="/index/Ga#gamma_function">Index to sequences related to the Gamma function</a>
%F From _Vaclav Kotesovec_, Apr 10 2024: (Start)
%F Equals 5^(1/4) * sqrt(1 + sqrt(5)) * Gamma(1/5) * Gamma(2/5) / (2^(7/10) * sqrt(Pi)).
%F Equals 2^(4/5) * sqrt(Pi) * Gamma(1/5) / Gamma(3/5). (End)
%e 9.513507698668731836292487177265402192550578626088377...
%p evalf(GAMMA(1/10),100);
%t RealDigits[Gamma[1/10],10,100][[1]]
%o (PARI) gamma(1/10)
%o (Magma) SetDefaultRealField(RealField(100)); Gamma(1/10); // _G. C. Greubel_, Mar 10 2018
%Y Cf. A175380, A246745, A340721, A340722.
%Y Cf. A340723, A340724, A340725.
%K nonn,cons,changed
%O 1,1
%A _Iaroslav V. Blagouchine_, Mar 19 2015
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