OFFSET
0,1
COMMENTS
See A199949 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
EXAMPLE
least x: -0.6094168332632752999307535993160...
greatest x: 1.34204053424075776611980105081...
MATHEMATICA
a = 2; b = -3; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.61, -.60}, WorkingPrecision -> 110]
RealDigits[r] (* A200124 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.34, 1.35}, WorkingPrecision -> 110]
RealDigits[r] (* A200125 *)
PROG
(PARI) a=2; b=-3; c=3; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 14 2011
STATUS
approved