A200705 Decimal expansion of least x>0 satisfying 1-10*x^2=tan(x).

2, 6, 9, 1, 0, 9, 6, 7, 1, 2, 7, 8, 9, 4, 6, 5, 6, 6, 5, 2, 2, 4, 7, 0, 6, 4, 8, 2, 1, 9, 0, 2, 1, 0, 5, 8, 8, 3, 5, 6, 2, 1, 2, 2, 4, 0, 2, 4, 2, 2, 0, 3, 0, 8, 0, 4, 9, 1, 0, 9, 0, 4, 2, 1, 6, 2, 3, 8, 2, 2, 1, 7, 3, 9, 0, 8, 7, 4, 5, 0, 3, 9, 0, 8, 0, 3, 0, 7, 1, 4, 4, 5, 9, 5, 3, 2, 3, 4, 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=0.2691096712789465665224706482190210588356212...

Mathematica

a = -10; 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, .2, .3}, WorkingPrecision -> 110]
RealDigits[r]  (* A200710 *)

Crossrefs

Cf. A200338.

Sequence in context: A046728 A110984 A021792 * A154468 A197142 A129635

Adjacent sequences: A200702 A200703 A200704 * A200706 A200707 A200708

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved