A200611 Decimal expansion of least x > 0 satisfying 4*x^2 - 4*x + 3 = tan(x).

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

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

			1.3760525153996697535794892748809116128311...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A200338.

Programs

Mathematica

a = 4; b = -4; 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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200611 *)

PARI

solve(x=1, 3/2, 4*x^2 - 4*x + 3 - tan(x)) \\ Michel Marcus, Aug 05 2018