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A229704 Decimal expansion of the absolute value of sum_{k>=1} (-1)^k/(k*binomial(3k,k)). 0

%I

%S 3,0,3,5,2,1,9,0,4,9,7,2,3,4,9,1,5,4,3,7,3,7,9,0,6,3,4,7,2,9,4,7,9,6,

%T 0,1,8,8,6,2,4,7,3,9,4,2,1,6,6,7,1,3,7,8,4,3,0,3,0,6,4,2,5,3,1,8,6,9,

%U 1,7,3,5,0,6,8,2,4,3,6,5,4,1,0,1,3,1,1,5,0,1,1,7,4,2,1,7,9,2,1,6,0,3,1,3,2

%N Decimal expansion of the absolute value of sum_{k>=1} (-1)^k/(k*binomial(3k,k)).

%H J. M. Borwein, R. Girgensohn, <a href="http://dx.doi.org/10.1007/s00010-005-2774-x">Evaluations of binomial series</a>, Aequat. Math. 70 (2005) 25-36, Eq. (71).

%e -0.3035219049723491543737906347..

%t HypergeometricPFQ[{1, 1, 3/2}, {4/3, 5/3}, -(4/27)]/3 // RealDigits[#, 10, 105]& // First (* _Jean-Fran├žois Alcover_, Feb 18 2014 *)

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Sep 27 2013

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Last modified May 8 21:56 EDT 2021. Contains 343668 sequences. (Running on oeis4.)