A201770 Decimal expansion of the nonzero number x satisfying x^2+x+1=e^x.

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

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

			1.793282132900761007557553363901042400...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201741.

Programs

Mathematica

a = 1; b = 1; c = 1;
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, 1.7, 1.8}, WorkingPrecision -> 110]
RealDigits[r]     (* A201770 *)