A200703 Decimal expansion of least x>0 satisfying 1-8*x^2=tan(x).

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

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=0.294988606828926535708889652046761387788718260...

Mathematica

a = -8; 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]   (* A200703 *)

Crossrefs

Cf. A200338.

Sequence in context: A273842 A371852 A021343 * A342663 A332575 A080803

Adjacent sequences: A200700 A200701 A200702 * A200704 A200705 A200706

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved