A200597 Decimal expansion of least x>0 satisfying 3*x^2-4*x+2=tan(x).

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

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=0.597790706881937521837255088417440045785106968...

Mathematica

a = 3; b = -4; c = 2;
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, .2, .3}, WorkingPrecision -> 110]
RealDigits[r]   (* A200597 *)

Crossrefs

Cf. A200338.

Sequence in context: A365238 A195285 A348682 * A140724 A086055 A219734

Adjacent sequences: A200594 A200595 A200596 * A200598 A200599 A200600

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved