A202355 Decimal expansion of the number x satisfying x-1=exp(-x).

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

Offset: 1

Author

Clark Kimberling, Dec 18 2011

Keywords

• nonn
• cons

Comments

See A202322 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=1.2784645427610737951093587390229801554394...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A202322.

Programs

Mathematica

u = 1; v = -1;
f[x_] := u*x + v; g[x_] := E^-x
Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A202355 *)
(* other program *)
RealDigits[1 + ProductLog[1/E], 10, 99] // First (* Jean-François Alcover, Feb 14 2013 *)

PARI

1 + lambertw(exp(-1)) \\ G. C. Greubel, Jun 10 2017

Formula

Equals A202357 + 1. - Vaclav Kotesovec, Jan 31 2015