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: -0.815233223410514131205921200022220970300...
greatest x: 1.0743092065060468901083577789286306342...
MATHEMATICA
a = 2; b = -3; c = 1;
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, -.82, -.81}, WorkingPrecision -> 110]
RealDigits[r] (* A200120 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.07, 1.08}, WorkingPrecision -> 110]
RealDigits[r] (* A200121 *)
PROG
(PARI) a=2; b=-3; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 29 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 14 2011
STATUS
approved