A200415 Decimal expansion of least x>0 satisfying 4*x^2+x+4=tan(x).

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

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=1.5020668763266092551516488173546976308750039746...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 4; b = 1; c = 4;
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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r]  (* A200415 *)