cp's OEIS Frontend

A225112 Decimal expansion of integral of 1/binomial(2x,x) from x = 0 to infinity.

%I A225112 #20 Nov 05 2014 16:25:01
%S A225112 1,2,2,1,6,6,3,8,9,9,5,0,1,3,7,1,8,3,6,0,6,9,9,7,8,9,5,1,5,1,1,5,1,8,
%T A225112 9,7,3,3,9,7,0,4,1,0,1,8,9,9,2,9,1,7,5,1,7,6,8,0,4,9,7,2,0,8,3,3,4,9,
%U A225112 6,2,2,7,4,6,3,7,9,5,2,0,9,8,6,2,1,3,5,1,3,2,8,4,8,8,3,1,5,4,4,1,2,5,8
%N A225112 Decimal expansion of integral of 1/binomial(2x,x) from x = 0 to infinity.
%C A225112 The central binomial coefficient is extended to non-integer values via the Gamma function.
%F A225112 Integral(t = 0 .. infinity, 1/binomial(2t, t)).
%e A225112 1.221663899501...
%t A225112 NIntegrate[1/Binomial[2 t, t], {t, 0, Infinity}]
%o A225112 (PARI)
%o A225112 cbin(x)=exp(lngamma(2*x+1)-2*lngamma(x+1));
%o A225112 intnum(t=0,[oo,log(4)],1/cbin(t))
%o A225112 \\ _Charles R Greathouse IV_, Apr 30 2013
%K A225112 nonn,cons
%O A225112 1,2
%A A225112 _Michael Clausen_, Apr 28 2013