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%I #11 Feb 18 2014 09:31:30
%S 2,3,3,5,3,2,4,1,7,4,8,5,1,7,1,9,8,8,7,8,7,1,6,8,1,3,9,4,8,9,6,0,3,8,
%T 2,1,7,5,6,9,1,1,2,1,6,0,1,9,6,6,6,2,5,1,8,0,6,2,4,3,5,4,3,5,9,9,3,9,
%U 3,1,3,9,2,4,3,5,4,6,7,7,8,9,0,6,4,1,1,8,6,4,7,6,3,4,4,3,8,5,7,6,4,7,7,2,4
%N Decimal expansion of the absolute value of sum_{k>=1} (-1)^k/(k*binomial(4k,k)).
%H N. Batir, A. Sofo, <a href="http://dx.doi.org/10.1016/j.amc.2013.05.053">On some series involving reciprocals of binomial coefficients</a>, Appl. Math. Comp. 220 (2013) 331-338, Example 6.
%e -0.2335324174851719887871681394896038...
%t HypergeometricPFQ[{1, 1, 4/3, 5/3}, {5/4, 3/2, 7/4}, -27/256]/4 // RealDigits[#, 10, 105]& // First (* _Jean-François Alcover_, Feb 18 2014 *)
%Y Cf. A225847.
%K nonn,cons
%O 0,1
%A _R. J. Mathar_, Sep 27 2013
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