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 A085291 Decimal expansion of Alladi-Grinstead constant exp(c-1), where c is given in A085361. 6
 8, 0, 9, 3, 9, 4, 0, 2, 0, 5, 4, 0, 6, 3, 9, 1, 3, 0, 7, 1, 7, 9, 3, 1, 8, 8, 0, 5, 9, 4, 0, 9, 1, 3, 1, 7, 2, 1, 5, 9, 5, 3, 9, 9, 2, 4, 2, 5, 0, 0, 0, 3, 0, 4, 2, 4, 2, 0, 2, 8, 7, 1, 5, 0, 4, 2, 9, 9, 9, 0, 1, 2, 5, 1, 6, 5, 4, 7, 3, 2, 2, 3, 1, 1, 5, 1, 8, 4, 0, 7, 8, 1, 9, 7, 2, 3, 6, 1, 6, 9, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS K. Alladi, C. Grinstead, On the decomposition of n! into prime powers, J. Number Theory 9 (1977), 452-458 Simon Plouffe, Alladi-Grinstead Constant. Eric Weisstein's World of Mathematics, Alladi-Grinstead Constant FORMULA This constant is Exp[c-1], where c is Sum[(-1+Zeta[1+n])/n, {n, Infinity}] (cf. A085361). EXAMPLE 0.80939402054063913071793188059409131721595399242500030424202871504... MAPLE evalf(exp(sum((Zeta(n+1)-1)/n, n=1..infinity)-1), 120); # Vaclav Kotesovec, Dec 11 2015 MATHEMATICA \$MaxExtraPrecision = 256; RealDigits[ Exp[ Sum[ N[(-1 + Zeta[1 + n])/n, 256], {n, 350}] - 1], 10, 111][[1]] (* Robert G. Wilson v, Nov 23 2005 *) CROSSREFS Cf. A085288, A085289, A085290, A085361. Sequence in context: A246772 A198820 A138285 * A109219 A199506 A254178 Adjacent sequences:  A085288 A085289 A085290 * A085292 A085293 A085294 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Jun 25 2003 EXTENSIONS Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jun 24 2003 STATUS approved

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