A200701 Decimal expansion of least x>0 satisfying 1-6*x^2=tan(x).

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

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=0.33080180610558699143408780310899093574336338...

Mathematica

a = -6; 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, .3, .4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200701 *)

Crossrefs

Cf. A200338.

Sequence in context: A164107 A093755 A176276 * A275408 A169670 A372004

Adjacent sequences: A200698 A200699 A200700 * A200702 A200703 A200704

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved