A200500 Decimal expansion of least x>0 satisfying 2*x^2-3*x+2=tan(x).

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

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=0.71985820239470858625021560996372072561...

Mathematica

a = 2; b = -3; 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, .7, .8}, WorkingPrecision -> 110]
RealDigits[r]    (* A200500 *)

Crossrefs

Cf. A200338.

Sequence in context: A086722 A296848 A282823 * A199669 A349580 A197019

Adjacent sequences: A200497 A200498 A200499 * A200501 A200502 A200503

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved