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Search: id:A130557
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| A130557 |
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Numerators of partial sums of a series for 6*(5-4*Zeta(3)). |
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+0
2
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| 1, 10, 409, 10297, 8031, 394019, 9462581, 766743461, 8435956183, 1020884056543, 13272613316059, 2243198436149971, 2243285892433171, 2243347792046947, 305101392961615867, 88175602457796281563, 186150555360181760633
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OFFSET
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2,2
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COMMENT
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Denominators are given in A130558.
The rational sequence r(n):=24*sum(1/((j^3)*(j^2-1)),j=2..n), n>=2, tends, in the limit n->infinity, to 6*(5-4*Zeta(3)) which is approximately 1.15063433.
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REFERENCES
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Z. A. Melzak, Companion to concrete mathematics,( Vol.I), Wiley, New York, 1973, pp. 83-84.
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LINKS
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W. Lang, Rationals and limit.
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FORMULA
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a(n)=numerator(r(n)), n>=2, with the rationals r(n) defined above.
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EXAMPLE
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Rationals r(n), n>=2: [1, 10/9, 409/360, 10297/9000, 8031/7000, 394019/343000,...].
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CROSSREFS
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Cf. A130551/A130552 with the limit (4/5)*Zeta(3).
Sequence in context: A098722 A162677 A041767 this_sequence A085000 A126154 A001327
Adjacent sequences: A130554 A130555 A130556 this_sequence A130558 A130559 A130560
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jul 13 2007
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