OFFSET
1,2
COMMENTS
The central binomial coefficient is extended to non-integer values via the Gamma function.
FORMULA
Integral(t = 0 .. infinity, 1/binomial(2t, t)).
EXAMPLE
1.221663899501...
MATHEMATICA
NIntegrate[1/Binomial[2 t, t], {t, 0, Infinity}]
PROG
(PARI)
cbin(x)=exp(lngamma(2*x+1)-2*lngamma(x+1));
intnum(t=0, [oo, log(4)], 1/cbin(t))
\\ Charles R Greathouse IV, Apr 30 2013
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michael Clausen, Apr 28 2013
STATUS
approved