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%I #10 Aug 30 2019 03:57:20
%S 1,10,409,10297,8031,394019,9462581,766743461,8435956183,
%T 1020884056543,13272613316059,2243198436149971,2243285892433171,
%U 2243347792046947,305101392961615867,88175602457796281563,186150555360181760633
%N Numerators of partial sums of a series for 6*(5 - 4*Zeta(3)).
%C Denominators are given in A130558.
%C The rational sequence r(n) = 24*Sum_{j=2..n} 1/(j^3*(j^2-1)), n >= 2, tends, in the limit n->infinity, to 6*(5-4*Zeta(3)) which is approximately 1.15063433.
%D Z. A. Melzak, Companion to concrete mathematics,( Vol.I), Wiley, New York, 1973, pp. 83-84.
%H W. Lang, <a href="/A130557/a130557.txt">Rationals and limit</a>.
%F a(n) = numerator(r(n)), n >= 2, with the rationals r(n) defined above.
%e Rationals r(n), n >= 2: 1, 10/9, 409/360, 10297/9000, 8031/7000, 394019/343000, ....
%Y Cf. A130551/A130552 with the limit (4/5)*Zeta(3).
%K nonn,frac,easy
%O 2,2
%A _Wolfdieter Lang_, Jul 13 2007
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