A200610 Decimal expansion of least x>0 satisfying 4*x^2-4*x+1=tan(x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.2482609145230832198708336372289095753348986100...

Mathematica

a = 4; b = -4; 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, .2, .3}, WorkingPrecision -> 110]
RealDigits[r]   (* A200610 *)

Crossrefs

Cf. A200338.

Sequence in context: A033921 A167420 A195711 * A076232 A011032 A174660

Adjacent sequences: A200607 A200608 A200609 * A200611 A200612 A200613

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved