OFFSET
1,2
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 = 1..10000
EXAMPLE
least x: -0.576891176962186435752436597718261688130...
greatest x: 1.79646741863500842707885236614949093773...
MATHEMATICA
a = 1; b = -3; c = 4;
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, -.58, -.57}, WorkingPrecision -> 110]
RealDigits[r] (* A200097 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.79, 1.80}, WorkingPrecision -> 110]
RealDigits[r] (* A200098 *)
PROG
(PARI) a=1; b=-3; c=4; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 24 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 13 2011
STATUS
approved