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A084223
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Numerators of successive approximations to zeta(3) = sum(k>0, 1/k^3), using Zeilberger's formula with s=2.
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2
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29, 2077, 389467, 23511309071, 250074841297, 217632439585619, 2271157731457180823, 39331108008268763851, 152552947614179997630583, 30344459362884140864563052777
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| D. Zeilberger, [math/9804126] Faster and Faster convergent series for $\zeta(3)$
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PROG
| (PARI) for(n=1, 15, print1(numerator(sum(k=1, n, 1/4*(-1)^(k-1)*(56*k^2-32*k+5)/(2*k-1)^2/binomial(3*k, k)/binomial(2*k, k)/k^3))", "))
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CROSSREFS
| Denominators are in A084224, decimal expansion is in A002117.
Cf. A084225 (s=3).
Sequence in context: A042624 A190826 A045688 * A138755 A171720 A091751
Adjacent sequences: A084220 A084221 A084222 * A084224 A084225 A084226
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KEYWORD
| nonn,frac
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AUTHOR
| Ralf Stephan (ralf(AT)ark.in-berlin.de), May 19 2003
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