A202498 Decimal expansion of x satisfying x=e^(-2x).

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

Offset: 0

Author

Clark Kimberling, Dec 20 2011

Keywords

• nonn
• cons

Comments

See A202348 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=0.426302751006862745673236207347658733449226...
		

Crossrefs

Cf. A202348.

Programs

Mathematica

u = -2; v = 0;
f[x_] := x; g[x_] := E^(u*x + v)
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
RealDigits[r]  (* A202498 *)
RealDigits[ ProductLog[2]/2, 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)