A201769 Decimal expansion of the number x satisfying x^2+x=e^x.

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

Offset: 1

Author

Clark Kimberling, Dec 05 2011

Keywords

• nonn
• cons

Comments

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=-1.235346233464687168031015630637164701695...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201741.

Programs

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, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r]     (* A201769 *)