OFFSET
1,2
COMMENTS
Khinchin's constant is K_0.
LINKS
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
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Sep 09 2003
EXTENSIONS
More terms from Jean-François Alcover, Feb 06 2013
STATUS
approved