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 A087492 Decimal expansion of Khinchin mean K_{-2}. 10
 1, 4, 5, 0, 3, 4, 0, 3, 2, 8, 4, 9, 5, 6, 3, 0, 4, 0, 6, 0, 5, 2, 9, 8, 3, 0, 7, 6, 6, 8, 0, 6, 9, 7, 8, 8, 1, 4, 0, 8, 2, 9, 9, 9, 7, 9, 6, 0, 5, 9, 0, 4, 1, 8, 2, 1, 7, 1, 7, 4, 9, 0, 7, 1, 7, 5, 1, 7, 6, 2, 8, 1, 3, 5, 5, 6, 8, 6, 8, 7, 6, 5, 9, 8, 4, 1, 3, 1, 4, 2, 0, 8, 2, 9, 3, 4, 1, 8, 8, 6, 9, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Khinchin's constant is K_0. LINKS Eric Weisstein's World of Mathematics, Khinchin's Constant EXAMPLE 1.45034032... MATHEMATICA digits = 102; exactEnd = 1000; f[n_] = -(Log[1 - (1 + n)^(-2)]/(n^2*Log[2])); s[n_] = Series[f[n] , {n, Infinity, digits}] // Normal // N[#, digits]&; exactSum = Sum[f[n] , {n, 1, exactEnd}] // N[#, digits]&; extraSum = Sum[s[n] , {n, exactEnd + 1, Infinity}] // N[#, digits]&; A087492 = 1/Sqrt[exactSum + extraSum] // RealDigits // First (* Jean-François Alcover, Feb 06 2013 *) CROSSREFS Cf. A002210, A087491, A087492, A087493, A087494, A087495, A087496, A087497, A087498, A087499, A087500. Sequence in context: A199390 A270914 A048837 * A199967 A021226 A197584 Adjacent sequences:  A087489 A087490 A087491 * A087493 A087494 A087495 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Sep 09 2003 EXTENSIONS More terms from Jean-François Alcover, Feb 06 2013 STATUS approved

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Last modified April 23 21:25 EDT 2019. Contains 322388 sequences. (Running on oeis4.)