A200414 Decimal expansion of least x>0 satisfying 4*x^2+x+3=tan(x).

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

Offset: 1

Author

Clark Kimberling, Nov 18 2011

Keywords

• nonn
• cons

Comments

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

Examples

			x=1.4966167479915742686602815268613907032003235186...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 4; b = 1; c = 3;
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]  (* A200414 *)