A200365 Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x).

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

Offset: 1

Author

Clark Kimberling, Nov 17 2011

Keywords

• nonn
• cons

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=1.463351526239057300766673224348154130675667...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*Sin[x] + 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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200365 *)

Extensions

Definition corrected by Georg Fischer, Aug 05 2021