A200698 Decimal expansion of least x>0 satisfying 2-3*x^2=tan(x).

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

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=0.6449227965009328200264267181203255556569505666...

Mathematica

a = -3; c = 2;
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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r]   (* A200698 *)

Crossrefs

Cf. A200338.

Sequence in context: A329281 A201587 A110756 * A013661 A209273 A330934

Adjacent sequences: A200695 A200696 A200697 * A200699 A200700 A200701

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved