A225112 Decimal expansion of integral of 1/binomial(2x,x) from x = 0 to infinity.
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, 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, 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
Offset: 1
Examples
1.221663899501...
Programs
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Mathematica
NIntegrate[1/Binomial[2 t, t], {t, 0, Infinity}] -
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
Formula
Integral(t = 0 .. infinity, 1/binomial(2t, t)).
Comments