OFFSET
1,2
COMMENTS
See A199170 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
negative: -1.67892976349109451959338320116343299...
positive: 1.90253038503823570345779582773972676...
MATHEMATICA
a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]
RealDigits[r] (* A199174 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.90, 1.91}, WorkingPrecision -> 110]
RealDigits[r] (* A199175 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 04 2011
EXTENSIONS
a(84) onwards corrected by Georg Fischer, Aug 03 2021
STATUS
approved