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A087493 Decimal expansion of Khinchin mean K_{-3}. 10
1, 3, 1, 3, 5, 0, 7, 0, 7, 8, 6, 8, 7, 9, 8, 5, 7, 6, 6, 7, 1, 7, 3, 3, 9, 4, 4, 7, 0, 7, 2, 7, 8, 6, 8, 2, 8, 1, 5, 8, 1, 2, 9, 8, 6, 1, 4, 8, 4, 7, 9, 2, 0, 5, 8, 8, 0, 9, 8, 4, 9, 8, 0, 5, 4, 2, 3, 8, 8, 1, 3, 6, 0, 3, 3, 8, 8, 1, 5, 9, 2, 5, 0, 5, 2, 4, 2, 9, 1, 5, 4, 1, 1, 8, 2, 2, 0, 8, 6, 1, 1, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Khinchin's constant is K_0.

LINKS

Table of n, a(n) for n=1..103.

Eric Weisstein's World of Mathematics, Khinchin's Constant

EXAMPLE

1.31350707...

MATHEMATICA

digits = 102; exactEnd = 1000; f[n_] = -(Log[1 - (1 + n)^(-2)]/(n^3*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]&; A087493 = (exactSum + extraSum)^(-1/3) // RealDigits // First (* Jean-François Alcover, Feb 06 2013 *)

CROSSREFS

Cf. A002210, A087491, A087492, A087493, A087494, A087495, A087496, A087497, A087498, A087499, A087500.

Sequence in context: A147549 A177355 A076157 * A118125 A143732 A130465

Adjacent sequences:  A087490 A087491 A087492 * A087494 A087495 A087496

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 March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)