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A200239
Decimal expansion of least x satisfying 3*x^2-3*cos(x)=2*sin(x).
4
6, 3, 7, 6, 6, 1, 1, 5, 7, 9, 4, 6, 0, 7, 3, 1, 3, 4, 1, 1, 9, 8, 9, 5, 4, 5, 6, 5, 8, 8, 1, 9, 6, 2, 0, 1, 3, 7, 3, 3, 9, 9, 2, 2, 8, 0, 7, 2, 7, 3, 3, 8, 6, 9, 5, 5, 6, 1, 0, 6, 2, 3, 0, 9, 0, 1, 0, 1, 4, 0, 5, 4, 5, 4, 4, 3, 3, 0, 7, 9, 6, 8, 0, 0, 1, 4, 3, 8, 4, 6, 5, 1, 0, 7, 1, 4, 4, 7, 8
OFFSET
0,1
COMMENTS
See A199949 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
least x: -0.63766115794607313411989545658819620...
greatest x: 1.039829693324607596071793532120387...
MATHEMATICA
a = 3; b = -3; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.64, -.63}, WorkingPrecision -> 110]
RealDigits[r] (* A200239 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A200240 *)
PROG
(PARI) a=3; b=-3; c=2; solve(x=-.64, -.63, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018
CROSSREFS
Cf. A199949.
Sequence in context: A260660 A011191 A246730 * A097676 A251780 A249542
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 15 2011
STATUS
approved