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A198577
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Decimal expansion of x > 0 satisfying 2*x^2-4*x = sin(x).
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2
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2, 1, 8, 6, 6, 5, 0, 7, 8, 3, 2, 6, 6, 9, 0, 6, 1, 7, 9, 5, 8, 5, 5, 4, 5, 2, 7, 5, 4, 8, 1, 7, 9, 4, 6, 4, 2, 1, 0, 4, 2, 1, 1, 2, 2, 2, 7, 3, 1, 3, 3, 9, 8, 1, 8, 5, 6, 6, 8, 7, 2, 1, 7, 5, 8, 6, 4, 9, 2, 6, 3, 6, 0, 0, 2, 0, 8, 3, 0, 9, 4, 5, 2, 3, 6, 8, 9, 8, 9, 8, 5, 0, 9, 6, 8, 5, 8, 2, 5
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OFFSET
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1,1
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COMMENTS
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See A198414 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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2.186650783266906179585545275481794642104211222...
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MATHEMATICA
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a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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