A072907 - OEIS

A072907

Decimal expansion of the solution of equation log(2) - X/8 - exp(-3X/7) = 0 (4.251844....).

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

This constant was conjectured to be the exact value for the 3-clause threshold in the satisfiability problem (Olivier Dubois 1993).

LINKS

Table of n, a(n) for n=1..106.

O. Dubois, J. Carlier, Probabilistic approach to the satisfiability problem, Theoretical Computer Science, 81, 1991, pp. 65-75.

MATHEMATICA

8*Log[2] + 7/3*ProductLog[-3/(7*2^(3/7))] // RealDigits[#, 10, 106]& // First (* Jean-François Alcover, Mar 04 2013 *)

CROSSREFS

Cf. A072908.