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 A269768 Decimal expansion of Sum_{n>=2} (-1)^n * Zeta(n)/n!. 2
 6, 5, 9, 8, 1, 5, 2, 5, 4, 3, 4, 9, 9, 9, 9, 5, 1, 4, 8, 6, 3, 8, 4, 4, 1, 7, 4, 3, 5, 2, 9, 5, 8, 9, 9, 6, 0, 7, 7, 7, 7, 0, 0, 7, 4, 0, 8, 8, 8, 0, 8, 5, 4, 1, 3, 8, 4, 1, 2, 1, 3, 4, 9, 3, 2, 0, 6, 3, 3, 9, 8, 9, 0, 7, 5, 7, 3, 1, 6, 7, 8, 5, 1, 8, 5, 7, 6, 2, 4, 8, 3, 0, 0, 8, 7, 8, 6, 0, 9, 6, 0, 7, 5, 8, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS J. Sondow and E. W. Weisstein, MathWorld: Riemann Zeta Function FORMULA Equals Sum_{k>=1} (exp(-1/k) - 1 + 1/k). EXAMPLE 0.659815254349999514863844174352958996077770074088808541384121349320633989... MAPLE evalf(Sum(exp(-1/n)-1+1/n, n=1..infinity), 120); MATHEMATICA RealDigits[NSum[Exp[-1/n] - 1 + 1/n, {n, 1, Infinity}, WorkingPrecision -> 200, NSumTerms -> 10000, PrecisionGoal -> 120, Method -> {"NIntegrate", "MaxRecursion" -> 100}]][[1]] CROSSREFS Cf. A093720. Sequence in context: A165227 A242761 A200477 * A073230 A134881 A229983 Adjacent sequences:  A269765 A269766 A269767 * A269769 A269770 A269771 KEYWORD nonn,cons AUTHOR Vaclav Kotesovec, Mar 04 2016 STATUS approved

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Last modified August 9 05:53 EDT 2022. Contains 356016 sequences. (Running on oeis4.)