A202497 Decimal expansion of x satisfying x=e^(-2x-2).

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

Offset

0,3

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=0.1088575528785450553973791522165640739944...

Mathematica

u = -2; 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, .1, .2}, WorkingPrecision -> 110]
RealDigits[r]    (* A202497 *)
RealDigits[ ProductLog[2/E^2]/2, 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)

Crossrefs

Cf. A202348.

Sequence in context: A154186 A030171 A153619 * A195708 A340168 A019704

Adjacent sequences: A202494 A202495 A202496 * A202498 A202499 A202500

Keyword

nonn,cons

Author

Clark Kimberling, Dec 20 2011

Status

approved