A200699 Decimal expansion of least x>0 satisfying 1-4*x^2=tan(x).

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

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=0.385442273941394688486279714820289310607413671...

Mathematica

a = -4; 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]    (* A200699 *)

Crossrefs

Cf. A200338.

Sequence in context: A261644 A345449 A348026 * A113813 A110944 A166494

Adjacent sequences: A200696 A200697 A200698 * A200700 A200701 A200702

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved