login
A198868
Decimal expansion of x>0 satisfying 3*x^2+cos(x)=2.
2
6, 3, 0, 3, 9, 8, 6, 6, 3, 9, 9, 3, 5, 9, 9, 3, 8, 6, 4, 4, 0, 7, 0, 4, 8, 6, 1, 7, 7, 7, 0, 4, 4, 9, 9, 2, 6, 7, 8, 5, 0, 2, 5, 1, 7, 0, 1, 8, 1, 0, 1, 7, 6, 8, 6, 5, 4, 9, 2, 6, 9, 1, 3, 0, 8, 5, 9, 5, 7, 8, 9, 5, 0, 6, 9, 5, 6, 0, 2, 9, 7, 5, 2, 9, 0, 5, 7, 4, 3, 9, 9, 3, 8, 4, 7, 4, 9, 5, 6
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.63039866399359938644070486177704499...
MATHEMATICA
a = 3; b = 1; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110]
RealDigits[r] (* A198868 *)
CROSSREFS
Cf. A198755.
Sequence in context: A195738 A322632 A184082 * A249733 A241532 A196830
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved