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%I #24 Apr 10 2024 16:21:21
%S 1,3,2,9,3,4,0,3,8,8,1,7,9,1,3,7,0,2,0,4,7,3,6,2,5,6,1,2,5,0,5,8,5,8,
%T 8,8,7,0,9,8,1,6,2,0,9,2,0,9,1,7,9,0,3,4,6,1,6,0,3,5,5,8,4,2,3,8,9,6,
%U 8,3,4,6,3,4,4,3,2,7,4,1,3,6,0,3,1,2,1,2,9,9,2,5,5,3,9,0,8,4,9,9
%N Decimal expansion of Gamma(5/2), where Gamma is Euler's gamma function.
%H G. C. Greubel, <a href="/A245884/b245884.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma function</a>.
%F Equals (3/4)*sqrt(Pi) = (3/2)*A019704.
%F Equals Sum_{k>=1} (k+1/2)!/(k+2)!. - _Amiram Eldar_, Jun 19 2023
%F Equals Integral_{x=0..oo} exp(-x^(2/3)) dx. - _Ilya Gutkovskiy_, Apr 10 2024
%e 1.32934038817913702047362561250585888709816209209179034616...
%t RealDigits[Gamma[5/2], 10, 100] // First
%o (PARI) gammah(2) \\ _Michel Marcus_, Feb 11 2016
%Y Cf. A019704, A245885.
%K nonn,cons,easy,changed
%O 1,2
%A _Jean-François Alcover_, Aug 05 2014
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