login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 8 22:51 EST 2016. Contains 278957 sequences.