A200604 Decimal expansion of least x>0 satisfying 4*x^2-2*x+1=tan(x).

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

Offset: 1

Author

Clark Kimberling, Nov 19 2011

Keywords

• nonn
• cons

Comments

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

Examples

			x=1.408881666048583993272364418834348858095236...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 4; b = -2; c = 1;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]    (* A200604 *)