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A199604
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Decimal expansion of greatest x satisfying x+3*cos(x) = 0.
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3
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2, 9, 3, 8, 1, 0, 0, 3, 9, 3, 9, 7, 0, 8, 1, 1, 8, 0, 7, 6, 5, 8, 1, 3, 6, 4, 7, 8, 4, 2, 5, 9, 1, 2, 9, 5, 9, 6, 7, 0, 2, 1, 8, 6, 1, 7, 3, 2, 2, 3, 1, 0, 1, 7, 8, 4, 6, 7, 1, 7, 6, 3, 8, 5, 3, 5, 4, 6, 7, 8, 5, 9, 2, 9, 2, 8, 3, 6, 7, 4, 6, 4, 2, 0, 8, 7, 7, 5, 5, 2, 1, 0, 3, 9, 6, 7, 7, 7, 3, 9
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OFFSET
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1,1
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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=1..100.
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EXAMPLE
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least: -1.1701209500026260537060430118589710...
greatest: 2.9381003939708118076581364784259...
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MATHEMATICA
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a = 1; b = 3; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1.5, 3.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A199603 least of 4 roots *)
r = x /. FindRoot[f[x] == g[x], {x, 2.93, 2.94}, WorkingPrecision -> 110]
RealDigits[r] (* A199604 greatest of 4 roots *)
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CROSSREFS
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Cf. A199597.
Sequence in context: A011385 A293816 A189419 * A260525 A302973 A258403
Adjacent sequences: A199601 A199602 A199603 * A199605 A199606 A199607
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 08 2011
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EXTENSIONS
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a(86) onwards corrected by Georg Fischer, Aug 03 2021
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STATUS
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approved
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