A200410 Decimal expansion of least x>0 satisfying 4*x^2+1=tan(x).

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

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=1.4671070679478940023432483632393658082660943799...
		

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 4; b = 0; 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]   (* A200410 *)