A200686 Decimal expansion of least x>0 satisfying 2-x^2=tan(x).

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

Offset: 0

Author

Clark Kimberling, Nov 20 2011

Keywords

• nonn
• cons

Comments

See A200614 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.8837599572083158645319472890521286286971...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A200338.

Programs

Mathematica

a = -1; c = 2;
f[x_] := a*x^2 + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]
RealDigits[r]  (* A200686 *)