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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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2
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..7.
D. Zeilberger, [math/9804126] Faster and Faster convergent series for $\zeta(3)$
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PROG
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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: A007761 A178633 A085482 * A071800 A093254 A151635
Adjacent sequences: A084223 A084224 A084225 * 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, May 19 2003
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STATUS
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approved
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