A200645 Decimal expansion of least x>0 satisfying 9*x^2=tan(x).

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

Offset: 1

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

			1.5229258144699655376736643876651996616627371...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 9; c = 0;
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, 1.52, 1.53}, WorkingPrecision -> 110]
RealDigits[r] (* A200645 *)