OFFSET
1,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
least: -3.746168565528221340687013560527596978856...
greatest: 1.625278383378448643933003226246836106...
MATHEMATICA
a = 1; b = -4; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -4, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -3.8, -3.7}, WorkingPrecision -> 110]
RealDigits[r] (* A199733 least root *)
r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A199734 greatest root *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved