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A091518
Decimal expansion of the hyperbolic volume of the figure eight knot complement.
RealDigits[N[2*Pi/3 - 1/18*HypergeometricPFQ[{3/2, 3/2, 3/2}, {5/2, 5/2}, 1/4], 102]][[1]] (* Jean-François Alcover, Nov 12 2012, after Eric W. Weisstein *)
PROG
(PARI) 2*suminf(k=0, binomial(2*k, k)/16^k/(2*k+1)^2) \\ Charles R Greathouse IV, Oct 15 2014