A141252 Decimal expansion of number c satisfying c*log(c)=1/2+c.

3, 1, 8, 0, 9, 6, 6, 0, 8, 6, 6, 3, 8, 9, 4, 3, 2, 1, 0, 6, 8, 3, 5, 8, 6, 4, 0, 3, 5, 4, 7, 5, 7, 5, 0, 0, 5, 1, 6, 0, 8, 7, 8, 7, 4, 9, 3, 9, 6, 5, 7, 5, 4, 3, 2, 0, 5, 3, 9, 6, 4, 8, 2, 6, 9, 7, 0, 2, 5, 4, 7, 1, 0, 0, 1, 2, 2, 5, 9, 1, 9, 4, 0, 2, 8, 3, 6, 6, 6, 3, 4, 8, 8, 1, 2, 5, 3, 1, 5

Offset

1,1

References

Michel Goemans and Jon Kleinberg, An improved approximation ratio for the minimum latency problem, Proc. 7th ACM-SIAM Symposium on Discrete Algorithms, 1996, pp. 152-158.

Links

Table of n, a(n) for n=1..99.

Formula

Equals exp(LambertW(1/(2e))+1).

Example

3.1809660866389432106835864035475750051608787493965754320539648...

Mathematica

RealDigits[ Exp[1 + ProductLog[1/(2*E)]], 10, 99] // First (* Jean-François Alcover, Feb 19 2013 *)

Crossrefs

Cf. A141251.

Sequence in context: A152095 A096797 A084246 * A276168 A165498 A195731

Adjacent sequences: A141249 A141250 A141251 * A141253 A141254 A141255

Keyword

nonn,cons

Author

David Applegate and N. J. A. Sloane, Sep 04 2008

Status

approved