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 A072102 Decimal expansion of sum of reciprocal perfect powers (excluding 1). 7
 8, 7, 4, 4, 6, 4, 3, 6, 8, 4, 0, 4, 9, 4, 4, 8, 6, 6, 6, 9, 4, 3, 5, 1, 3, 2, 0, 5, 9, 7, 3, 7, 3, 1, 6, 5, 9, 3, 5, 3, 3, 8, 4, 3, 1, 9, 2, 4, 2, 1, 4, 5, 7, 7, 6, 2, 5, 7, 8, 8, 2, 5, 3, 5, 0, 9, 3, 7, 0, 0, 6, 4, 1, 2, 9, 7, 2, 3, 6, 7, 6, 5, 9, 9, 3, 3, 2, 2, 6, 1, 7, 8, 5, 7, 5, 8, 0, 1, 6, 2, 8, 7, 7, 0, 6, 3, 4, 1, 9, 3, 6, 2, 5, 5, 9, 0, 5, 3, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 113. LINKS Eric Weisstein's World of Mathematics, Perfect Power. FORMULA From Amiram Eldar, Aug 20 2020: (Start) Equals Sum_{k>=2} 1/A001597(k). Equals Sum_{k>=2} mu(k)*(1-zeta(k)). (End) EXAMPLE 0.874464368404944866694351320597373165935338431924214... MATHEMATICA RealDigits[Total[Block[{\$MaxExtraPrecision = 10^3}, N[#, 120] & /@ Table[MoebiusMu[k] (1 - Zeta[k]), {k, 2, 10^3}]]]][[1]] CROSSREFS Cf. A001597. Sequence in context: A260060 A260800 A196914 * A274442 A249136 A154815 Adjacent sequences:  A072099 A072100 A072101 * A072103 A072104 A072105 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Jun 18 2002 EXTENSIONS Corrected by Eric W. Weisstein, May 06 2013 STATUS approved

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Last modified April 13 01:36 EDT 2021. Contains 342934 sequences. (Running on oeis4.)