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A197843
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Decimal expansion of least x having x^2+2x=2*cos(x).
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3
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1, 7, 7, 3, 2, 3, 2, 1, 5, 7, 4, 9, 1, 7, 1, 6, 7, 2, 7, 0, 3, 8, 9, 9, 4, 6, 4, 1, 9, 7, 0, 8, 1, 6, 4, 1, 4, 1, 0, 2, 3, 7, 2, 3, 3, 5, 3, 6, 6, 7, 2, 8, 8, 2, 4, 4, 9, 4, 6, 2, 8, 1, 2, 1, 2, 5, 3, 7, 2, 4, 5, 4, 6, 6, 0, 4, 1, 4, 2, 7, 2, 1, 9, 2, 9, 7, 3, 7, 4, 8, 3, 3, 9, 8, 1, 1, 2, 3, 8
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OFFSET
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1,2
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COMMENTS
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See A197737 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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least x: -1.77323215749171672703899464197081641...
greatest x: 0.620762336586614714452120247321515...
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MATHEMATICA
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a = 1; b = 2; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.8, -1.7}, WorkingPrecision -> 110]
RealDigits[r1] (* A197843 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]
RealDigits[r2] (* A197844 *)
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CROSSREFS
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Cf. A197737.
Sequence in context: A021568 A199613 A136141 * A211074 A204067 A197846
Adjacent sequences: A197840 A197841 A197842 * A197844 A197845 A197846
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 20 2011
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STATUS
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approved
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