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%I #23 Feb 07 2024 10:08:31
%S 9,8,6,5,9,0,9,8,6,2,6,2,5,4,2,2,9,1,3,0,3,2,0,5,5,3,4,1,4,5,7,3,9,3,
%T 2,0,9,5,2,0,4,4,7,4,9,6,6,8,7,1,6,9,8,5,9,9,7,4,3,7,4,1,8,0,9,1,6,3,
%U 8,8,6,6,2,0,7,5,5,1,1,6,3,3,4,1,4,4,4,9,4,9,3,7,4,2,4,5,9,4,3,6,0,7,5,5,3
%N Decimal expansion of Sum_{k>=0} (-1)^k * (3*k + 1)^(-3).
%H R. W. Gosper, <a href="https://dspace.mit.edu/handle/1721.1/6088">Acceleration of series</a>, AI memo 304 (1974), page 40
%F Equals (10*Sqrt(3)*Pi^3 + 351*zeta(3))/972.
%e 0.986590986262542291303205534145739320952044749668716985997437418...
%t RealDigits[N[Sum[(-1)^k (3k + 1)^(-3), {k, 0, Infinity}], 10, 105]][[1]] (* Grau, corrected by _Alonso del Arte_, Jan 01 2014 *)
%K nonn,cons
%O 0,1
%A _José María Grau Ribas_, Jun 16 2013
%E Offset and last term corrected by _Rick L. Shepherd_, Jan 01 2014
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