A201750 Decimal expansion of the nonzero number x satisfying -x^2+1=e^x.

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

Offset: 0

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

			-0.7145563847430096816014491264343628875...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201741.

Programs

Mathematica

a = -1; b = 0; c = 1;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -2, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
RealDigits[r]   (* A201750 *)