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Search: id:A084225
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| A084225 |
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Numerators of successive approximations to zeta(3) = sum(k>0, 1/k^3), using Zeilberger's formula with s=3. |
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4
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| 65, 25243, 211601801729, 41606201661907, 26719502723174333, 21470414849401610158757, 1743934446142768167359788693, 34556860353606738134995908106747
(list; graph; listen)
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OFFSET
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0,1
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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=0, 10, print1(numerator(sum(k=0, n, 1/72*(-1)^k*(5265*k^4+13878*k^3+13761*k^2+6120*k+1040)/binomial(3*k, k)/binomial(4*k, k)/(4*k+1)/(4*k+3)/(k+1)/(3*k+1)^2/(3*k+2)^2))", "))
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CROSSREFS
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Denominators are in A084226, decimal expansion is in A002117.
Cf. A084223 (s=2).
Sequence in context: A144661 A093265 A120801 this_sequence A103345 A061688 A015072
Adjacent sequences: A084222 A084223 A084224 this_sequence A084226 A084227 A084228
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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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