A201765 Decimal expansion of the least x satisfying 9-x^2=e^x.

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

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

			least:  -2.9916206301281875052379602922929380380...
greatest:  1.76960110019935768918659677471067851...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201741.

Programs

Mathematica

a = -1; b = 0; c = 9;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2.9, -3.0}, WorkingPrecision -> 110]
RealDigits[r]    (* A201765 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]
RealDigits[r]    (* A201766 *)