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A199511
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Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=cos(x).
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2
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1, 0, 2, 3, 4, 0, 4, 6, 7, 4, 6, 7, 4, 9, 5, 2, 1, 1, 5, 8, 9, 1, 5, 0, 3, 3, 9, 8, 3, 4, 0, 4, 5, 2, 4, 6, 0, 8, 8, 2, 7, 7, 3, 1, 5, 4, 4, 1, 5, 9, 5, 1, 3, 7, 7, 4, 8, 6, 0, 7, 7, 7, 8, 3, 3, 0, 7, 7, 9, 5, 1, 1, 5, 8, 3, 2, 4, 1, 0, 2, 9, 4, 8, 1, 4, 0, 3, 8, 9, 3, 2, 6, 5, 2, 0, 5, 1, 2, 3
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OFFSET
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1,3
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COMMENTS
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See A199429 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=1.02340467467495211589150339834045246088277315441...
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MATHEMATICA
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a = 3; b = -3; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.02, 1.03}, WorkingPrecision -> 110]
RealDigits[r] (* A199511 *)
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CROSSREFS
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Cf. A199429.
Sequence in context: A162593 A011025 A203571 * A049279 A126013 A119974
Adjacent sequences: A199508 A199509 A199510 * A199512 A199513 A199514
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 07 2011
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STATUS
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approved
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