%I #6 Mar 20 2024 04:36:51
%S 2,3,1,5,1,5,7,3,7,3,3,9,4,1,1,7,0,0,0,4,2,5,8,1,9,4,6,9,1,1,7,9,8,1,
%T 3,6,6,6,7,6,9,2,8,1,9,9,0,3,6,2,0,3,7,4,0,8,1,9,8,4,3,7,4,0,5,3,9,1,
%U 6,2,0,6,6,7,2,3,4,4,4,5,5,7,7,1,5,7,7,8,1,2,6,1,2,7,7,8,2,5,6,0
%N Decimal expansion of Gamma(3/2) * zeta(3/2).
%F Equals Pochhammer(1, 1/2) * zeta(3/2, 1).
%F Equals sqrt(Pi/4) * zeta(3/2).
%F Equals Integral_{x>=0} sqrt(x) / (exp(x) - 1).
%F Equals A019704 * A078434.
%e 2.3151573733941170004258194691179813666769281990...
%p DecimalExpansion := proc(f, prec)
%p Digits := prec + 10: evalf(f, Digits) * 10^prec:
%p ListTools:-Reverse(convert(floor(%), base, 10)) end:
%p DecimalExpansion(sqrt(Pi/4)*Zeta(3/2), 100);
%t RealDigits[Pochhammer[1, 1/2] Zeta[3/2, 1], 10, 100][[1]]
%Y Cf. A019704, A078434.
%K nonn,cons
%O 1,1
%A _Peter Luschny_, Mar 19 2024