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A197810
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Decimal expansion of x>0 having x^2+x=2*cos(x).
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3
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7, 8, 8, 3, 9, 6, 8, 4, 5, 9, 9, 2, 9, 6, 5, 4, 2, 9, 0, 7, 8, 8, 2, 0, 9, 8, 3, 9, 8, 2, 0, 0, 1, 9, 1, 2, 2, 9, 5, 5, 1, 8, 7, 5, 3, 5, 3, 1, 2, 0, 4, 9, 1, 8, 6, 5, 0, 5, 6, 6, 5, 9, 8, 2, 7, 0, 6, 7, 8, 7, 2, 5, 7, 2, 4, 8, 7, 8, 1, 4, 6, 0, 0, 8, 8, 9, 3, 3, 7, 6, 7, 8, 6, 9, 8, 6, 2, 8, 2
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OFFSET
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0,1
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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=0..98.
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EXAMPLE
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negative: -1.3405253081973984478676062849960660920583...
positive: 0.7883968459929654290788209839820019122955...
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MATHEMATICA
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a = 1; b = 1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1.5}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.3}, WorkingPrecision -> 110]
RealDigits[r1] (* A197809 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .78, .79}, WorkingPrecision -> 110]
RealDigits[r2] (* A197810 *)
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CROSSREFS
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Cf. A197737.
Sequence in context: A094819 A019861 A065470 * A085361 A092290 A156571
Adjacent sequences: A197807 A197808 A197809 * A197811 A197812 A197813
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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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