A200585 Decimal expansion of least x>0 satisfying 2*x^2-4*x+3=tan(x).

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

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=0.8175892391032784394479031605451506794071749...

Mathematica

a = 2; b = -4; 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, .8, .9}, WorkingPrecision -> 110]
RealDigits[r]    (* A200585 *)

Crossrefs

Cf. A200338.

Sequence in context: A244089 A195489 A245280 * A301908 A200277 A242024

Adjacent sequences: A200582 A200583 A200584 * A200586 A200587 A200588

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved