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Search: id:A084223
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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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3
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| 29, 2077, 389467, 23511309071, 250074841297, 217632439585619, 2271157731457180823, 39331108008268763851, 152552947614179997630583, 30344459362884140864563052777
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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D. Zeilberger, [math/9804126] Faster and Faster convergent series for $\zeta(3)$
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PROGRAM
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(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
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Denominators are in A084224, decimal expansion is in A002117.
Cf. A084225 (s=3).
Adjacent sequences: A084220 A084221 A084222 this_sequence A084224 A084225 A084226
Sequence in context: A042627 A042624 A045688 this_sequence A138755 A091751 A055559
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KEYWORD
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nonn,frac
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), May 19 2003
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