A200339 Decimal expansion of least x>0 satisfying x^2+2=tan(x).

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

Offset: 1

Author

Clark Kimberling, Nov 16 2011

Keywords

• nonn
• cons

Comments

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

Examples

			x=1.30747760030134992121693507169004808...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 1; b = 0; c = 2;
f[x_] := a*x^2 + b*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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200339 *)

PARI

solve(x=1,1.5,x^2+2-tan(x)) \\ Charles R Greathouse IV, Mar 23 2022