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 A084226 Denominators of successive approximations to zeta(3) = sum(k>0, 1/k^3), using Zeilberger's formula with s=3. 2
 54, 21000, 176033088000, 34612505928000, 22228151306961600, 17861396405584738406400, 1450791923043620377059840000, 28748106901407399430780215360000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS PROG (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))", ")) CROSSREFS 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 KEYWORD nonn,frac AUTHOR Ralf Stephan, May 19 2003 STATUS approved

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