A202496 Decimal expansion of x satisfying x=e^(-x-2).

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

Offset

0,2

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=0.120028238987641229484687975271849244939147...

Mathematica

u = -1; v = -2;
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, .12, .13}, WorkingPrecision -> 110]
RealDigits[r]   (* A202496 *)
RealDigits[ ProductLog[1/E^2], 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)

Crossrefs

Cf. A202348.

Sequence in context: A300222 A246814 A116597 * A165664 A019263 A244132

Adjacent sequences: A202493 A202494 A202495 * A202497 A202498 A202499

Keyword

nonn,cons

Author

Clark Kimberling, Dec 20 2011

Status

approved