login
Decimal expansion of sum(1/Gamma(n/2), n>=1).
2

%I #12 Mar 25 2013 10:36:40

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

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

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

%N Decimal expansion of sum(1/Gamma(n/2), n>=1).

%H Vincenzo Librandi, <a href="/A222392/b222392.txt">Table of n, a(n) for n = 1..5000</a>

%F Equals (1+erf(1))*e+1/sqrt(Pi), where erf is the error function (see A099286).

%e 5.57316966431003975325790404977558240053838531356466534303248120641829030...

%t RealDigits[(1 + Erf[1]) E + 1/Sqrt[Pi], 10, 90][[1]]

%Y Cf. A222391.

%Y Cf. A001113, sum(1/Gamma(n), n>=1).

%K nonn,cons

%O 1,1

%A _Bruno Berselli_, Mar 19 2013