A226469 Decimal expansion of the maximum value reached by the function -2*x*log(x)-2*x*(1-x) in the interval (0,1].

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

Offset: 0

Author

José María Grau Ribas, Jun 08 2013

Keywords

• nonn
• cons

Comments

Equals 2(c-c^2) where c = A106533 (the rumor constant).

Examples

			0.3238051189459574298236009809879772906045103360482538554...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000

Crossrefs

Cf. A106533.

Programs

Mathematica

EE = -1/2 ProductLog[-2/(E^2)]; RealDigits[N[2*(EE-EE^2),100]][[1]]

PARI

{a = solve(x=0.1, x=0.5, 2*log(x) - 4*x + 4)}; -2*a*log(a)-2*a*(1-a) \\ G. C. Greubel, Nov 16 2017

Extensions

Offset corrected by Rick L. Shepherd, Jan 02 2014

More terms from Alois P. Heinz, Jan 11 2014