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A199667
Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=sin(x).
2
3, 0, 7, 3, 2, 0, 6, 2, 1, 1, 8, 2, 8, 1, 9, 4, 0, 7, 3, 4, 1, 1, 9, 6, 6, 6, 9, 3, 8, 6, 1, 5, 4, 9, 1, 9, 8, 2, 5, 4, 5, 0, 8, 1, 6, 4, 8, 4, 3, 3, 6, 2, 0, 7, 1, 8, 6, 5, 5, 8, 1, 5, 0, 8, 0, 0, 3, 9, 2, 5, 4, 8, 6, 2, 7, 6, 6, 1, 5, 9, 2, 9, 6, 3, 3, 6, 7, 8, 6, 6, 7, 5, 0, 0, 8, 2, 3, 7, 2
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
-0.30732062118281940734119666938615491...
MATHEMATICA
a = 3; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.31, -.30}, WorkingPrecision -> 110]
RealDigits[r] (* A199667 *)
CROSSREFS
Cf. A199597.
Sequence in context: A263210 A298095 A327803 * A358658 A181163 A363392
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved