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A198829
Decimal expansion of x>0 satisfying x^2-3*cos(x)=3.
2
1, 6, 5, 6, 3, 7, 4, 8, 5, 7, 4, 5, 0, 9, 3, 8, 9, 1, 4, 1, 8, 7, 3, 4, 9, 9, 4, 0, 4, 1, 7, 6, 7, 1, 1, 0, 2, 0, 0, 7, 4, 3, 6, 9, 4, 1, 0, 0, 2, 2, 9, 4, 1, 2, 5, 9, 8, 8, 8, 3, 5, 4, 5, 2, 2, 6, 0, 6, 9, 9, 0, 5, 8, 3, 6, 3, 5, 1, 5, 8, 3, 9, 5, 4, 5, 1, 8, 5, 9, 0, 0, 6, 2, 0, 6, 7, 0, 2, 6
OFFSET
1,2
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.65637485745093891418734994041767110200743694100...
MATHEMATICA
a = 1; b = -3; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.65, 1.66}, WorkingPrecision -> 110]
RealDigits[r] (* A198829 *)
CROSSREFS
Cf. A198755.
Sequence in context: A246673 A220190 A231738 * A217170 A064844 A242723
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 30 2011
STATUS
approved