A200688 Decimal expansion of least x>0 satisfying 4-x^2=tan(x).

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

Offset

1,3

Comments

See A200614 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.19878374315467233076694221145555333...

Mathematica

a = -1; c = 4;
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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]   (* A200688 *)

Crossrefs

Cf. A200338.

Sequence in context: A369763 A347201 A021905 * A288239 A163243 A060799

Adjacent sequences: A200685 A200686 A200687 * A200689 A200690 A200691

Keyword

nonn,cons

Author

Clark Kimberling, Nov 21 2011

Status

approved