A200485 Decimal expansion of least x>0 satisfying x^2-3x+1=tan(x).

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

Offset

0,1

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.266084554112852721788642144278359071325780...

Mathematica

a = 1; b = -3; c = 1;
f[x_] := a*x^2 + b*x + 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, .26, .27}, WorkingPrecision -> 110]
RealDigits[r]   (* A200485 *)

Crossrefs

Cf. A200338.

Sequence in context: A106152 A197036 A110666 * A201318 A242001 A175994

Adjacent sequences: A200482 A200483 A200484 * A200486 A200487 A200488

Keyword

nonn,cons

Author

Clark Kimberling, Nov 18 2011

Status

approved