A201941 Decimal expansion of x>0 satisfying x^2+x=e^(-x).

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

Offset

0,1

Comments

See A201936 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.444130228823966590585466329490984667...

Mathematica

a = 1; b = 1; c = 0;
f[x_] := a*x^2 + b*x + c; g[x_] := E^-x
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
RealDigits[r]   (* A201941 *)

Crossrefs

Cf. A201936.

Sequence in context: A117683 A172088 A159891 * A180060 A220668 A109610

Adjacent sequences: A201938 A201939 A201940 * A201942 A201943 A201944

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2011

Status

approved