login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A087494 Decimal expansion of Khinchin mean K_{-4}. 10
1, 2, 3, 6, 9, 6, 1, 8, 0, 9, 4, 2, 3, 7, 3, 0, 0, 5, 2, 6, 2, 6, 2, 2, 7, 2, 4, 4, 4, 5, 3, 4, 2, 2, 5, 6, 7, 4, 2, 0, 2, 4, 1, 1, 3, 1, 5, 4, 8, 9, 3, 7, 1, 3, 0, 0, 9, 1, 9, 5, 9, 2, 7, 9, 9, 4, 4, 2, 6, 5, 9, 0, 4, 9, 4, 8, 9, 1, 0, 6, 5, 5, 0, 7, 7, 0, 4, 2, 7, 0, 8, 9, 2, 3, 6, 4, 1, 2, 8, 0 (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..100.

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

EXAMPLE

1.23696180...

MATHEMATICA

m = 4; digits = 100; exactEnd = 1000; f[n_] = -(Log[1 - (1 + n)^(-2)]/(n^m*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]&; (exactSum + extraSum)^(-1/m) // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Feb 14 2013 *)

CROSSREFS

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

Sequence in context: A088329 A193079 A191397 * A328843 A021426 A309008

Adjacent sequences:  A087491 A087492 A087493 * A087495 A087496 A087497

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Sep 09 2003

EXTENSIONS

More terms from Jean-François Alcover, Feb 14 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)