A200487 Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).

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

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=0.859460941006027074081447641614222610620...

Mathematica

a = 1; b = -3; c = 3;
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, .85, .86}, WorkingPrecision -> 110]
RealDigits[r]   (* A200487 *)

Crossrefs

Cf. A200338.

Sequence in context: A347195 A132036 A132717 * A070473 A154210 A198996

Adjacent sequences: A200484 A200485 A200486 * A200488 A200489 A200490

Keyword

nonn,cons

Author

Clark Kimberling, Nov 18 2011

Status

approved