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A199790
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Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=4*sin(x).
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2
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1, 2, 3, 6, 9, 0, 7, 1, 4, 9, 1, 2, 2, 4, 4, 1, 6, 1, 2, 8, 5, 9, 3, 2, 5, 7, 6, 3, 7, 3, 4, 5, 1, 5, 2, 8, 6, 1, 1, 7, 5, 0, 1, 9, 6, 9, 5, 2, 9, 0, 2, 4, 3, 9, 7, 1, 0, 9, 9, 5, 1, 1, 3, 8, 5, 4, 8, 7, 5, 6, 0, 3, 7, 1, 5, 4, 5, 5, 2, 2, 1, 8, 6, 1, 5, 3, 7, 4, 4, 0, 4, 4, 9, 6, 2, 2, 9, 6, 4
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OFFSET
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1,2
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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=1..99.
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EXAMPLE
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x=1.236907149122441612859325763734515286117501...
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MATHEMATICA
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a = 3; b = -2; c = 4;
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, .90, .91}, WorkingPrecision -> 110]
RealDigits[r] (* A199790 *)
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CROSSREFS
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Cf. A199597.
Sequence in context: A187026 A179221 A103964 * A088329 A193079 A191397
Adjacent sequences: A199787 A199788 A199789 * A199791 A199792 A199793
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 10 2011
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STATUS
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approved
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