A202499 Decimal expansion of x satisfying x=e^(-3x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.3499696316546799866628990235176326348631556...

Mathematica

u = -3; 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, .3, .4}, WorkingPrecision -> 110]
RealDigits[r]  (* A202499 *)
RealDigits[ ProductLog[3]/3, 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)

Crossrefs

Cf. A202348.

Sequence in context: A306018 A076120 A082188 * A341319 A063780 A307992

Adjacent sequences: A202496 A202497 A202498 * A202500 A202501 A202502

Keyword

nonn,cons

Author

Clark Kimberling, Dec 20 2011

Status

approved