login
A198213
Decimal expansion of x>0 having 3*x^2=4*cos(x).
2
9, 0, 6, 5, 9, 2, 4, 7, 4, 0, 9, 2, 4, 3, 7, 9, 6, 6, 9, 7, 9, 3, 0, 6, 8, 2, 4, 6, 7, 2, 1, 4, 9, 3, 8, 0, 6, 0, 4, 9, 7, 0, 7, 3, 7, 7, 5, 2, 2, 3, 6, 1, 4, 9, 7, 3, 2, 4, 7, 2, 0, 4, 1, 9, 2, 1, 2, 1, 6, 4, 9, 5, 8, 2, 5, 2, 1, 8, 0, 7, 1, 5, 3, 3, 3, 1, 3, 1, 1, 3, 6, 8, 2, 3, 7, 4, 6, 8, 2
OFFSET
0,1
COMMENTS
See A197737 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.90659247409243796697930682467214938...
MATHEMATICA
a = 3; b = 0; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, 0.90, 0.91}, WorkingPrecision -> 110]
RealDigits[r] (* A198213 *)
CROSSREFS
Cf. A197737.
Sequence in context: A131223 A225464 A296566 * A093766 A363368 A097674
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 22 2011
STATUS
approved