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A198125
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Decimal expansion of greatest x having 2*x^2+2x=cos(x).
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3
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3, 4, 8, 4, 9, 5, 0, 4, 8, 1, 7, 3, 8, 4, 2, 9, 1, 6, 5, 5, 6, 6, 8, 4, 1, 8, 4, 7, 1, 9, 9, 0, 5, 9, 9, 3, 9, 6, 1, 7, 9, 0, 4, 1, 3, 8, 9, 4, 7, 5, 1, 8, 9, 5, 3, 6, 0, 4, 1, 6, 1, 8, 2, 0, 6, 2, 1, 8, 2, 5, 6, 7, 0, 2, 6, 2, 9, 1, 6, 0, 5, 9, 4, 5, 9, 2, 4, 8, 6, 5, 3, 5, 4, 0, 3, 6, 1, 8, 4
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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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least x: -1.1678731527385671979308122427699630...
greatest x: 0.34849504817384291655668418471990...
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MATHEMATICA
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a = 2; b = 2; c = 1;
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, -1.2, -1.1}, WorkingPrecision -> 110]
RealDigits[r1](* A198124 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .34, .35}, WorkingPrecision -> 110]
RealDigits[r2](* A198125 *)
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CROSSREFS
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Cf. A197737.
Sequence in context: A020812 A021291 A179104 * A127122 A086850 A050274
Adjacent sequences: A198122 A198123 A198124 * A198126 A198127 A198128
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 22 2011
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STATUS
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approved
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