login
A200487
Decimal expansion of least x>0 satisfying x^2-3x+3=tan(x).
2
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.
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 18 2011
STATUS
approved