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A199664
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Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=3*sin(x).
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2
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6, 6, 5, 5, 9, 9, 0, 7, 7, 3, 3, 0, 6, 7, 6, 1, 5, 2, 5, 0, 5, 2, 6, 5, 1, 9, 2, 2, 6, 8, 8, 5, 3, 0, 2, 8, 5, 4, 3, 4, 8, 9, 7, 4, 7, 9, 1, 5, 0, 6, 1, 4, 7, 2, 4, 8, 9, 4, 2, 4, 2, 2, 3, 7, 9, 0, 9, 6, 8, 0, 5, 6, 1, 6, 1, 3, 3, 8, 6, 2, 2, 1, 1, 6, 4, 8, 5, 2, 3, 8, 1, 0, 0, 5, 5, 9, 0, 2, 2
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OFFSET
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0,1
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COMMENTS
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See A199597 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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Table of n, a(n) for n=0..98.
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EXAMPLE
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x=0.6655990773306761525052651922688530...
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MATHEMATICA
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a = 3; b = 1; c = 3;
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, .66, .67}, WorkingPrecision -> 110]
RealDigits[r] (* A199664 *)
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CROSSREFS
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Cf. A199597.
Sequence in context: A011188 A197478 A101801 * A019180 A019103 A172360
Adjacent sequences: A199661 A199662 A199663 * A199665 A199666 A199667
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 09 2011
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STATUS
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approved
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