A200645 Decimal expansion of least x>0 satisfying 9*x^2=tan(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.5229258144699655376736643876651996616627371...

Mathematica

a = 9; c = 0;
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, 1.52, 1.53}, WorkingPrecision -> 110]
RealDigits[r] (* A200645 *)

Crossrefs

Cf. A200338.

Sequence in context: A125136 A021989 A201421 * A011411 A201328 A199189

Adjacent sequences: A200642 A200643 A200644 * A200646 A200647 A200648

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved