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Search: id:A084226
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| A084226 |
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Denominators of successive approximations to zeta(3) = sum(k>0, 1/k^3), using Zeilberger's formula with s=3. |
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3
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| 54, 21000, 176033088000, 34612505928000, 22228151306961600, 17861396405584738406400, 1450791923043620377059840000, 28748106901407399430780215360000
(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(denominator(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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Numerators are in A084225, decimal expansion is in A002117.
Sequence in context: A046199 A007761 A085482 this_sequence A071800 A093254 A151635
Adjacent sequences: A084223 A084224 A084225 this_sequence A084227 A084228 A084229
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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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