A200697 Decimal expansion of least x>0 satisfying 1-3*x^2=tan(x).

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

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=0.426473872809145132995299135632801912128710...

Mathematica

a = -3; 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, .4, .5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200697 *)

Crossrefs

Cf. A200338.

Sequence in context: A138614 A161912 A162339 * A253629 A327095 A176836

Adjacent sequences: A200694 A200695 A200696 * A200698 A200699 A200700

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved