A200685 Decimal expansion of least x>0 satisfying 1-x^2=tan(x).

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

Offset

0,1

Comments

See A200614 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.5832484672550480414838666299132075407...

Mathematica

a = -1; c = 1;
f[x_] := a*x^2 + 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, .5, .6}, WorkingPrecision -> 110]
RealDigits[r](* A200685 *)

Crossrefs

Cf. A200338.

Sequence in context: A319261 A010489 A196567 * A099872 A097908 A198612

Adjacent sequences: A200682 A200683 A200684 * A200686 A200687 A200688

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved