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A199778
Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=3*sin(x).
2
1, 3, 7, 0, 6, 8, 0, 9, 7, 2, 6, 0, 4, 8, 9, 3, 4, 8, 5, 7, 9, 1, 1, 2, 0, 8, 0, 6, 8, 8, 0, 2, 9, 0, 4, 3, 2, 9, 8, 3, 6, 4, 6, 0, 2, 7, 1, 3, 0, 0, 5, 1, 0, 3, 9, 5, 0, 8, 9, 7, 8, 5, 0, 7, 0, 4, 2, 4, 5, 6, 7, 8, 3, 5, 4, 6, 2, 7, 6, 4, 3, 4, 1, 4, 5, 8, 4, 8, 6, 1, 9, 2, 2, 1, 7, 3, 3, 1, 3
OFFSET
1,2
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.370680972604893485791120806880290432983646027...
MATHEMATICA
a = 2; b = -3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r] (* A199778 *)
CROSSREFS
Cf. A199597.
Sequence in context: A291835 A197835 A197005 * A369381 A086729 A332527
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 10 2011
STATUS
approved