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A197257
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Decimal expansion of least x>0 having sin(2x)=(sin 6x)^2.
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2
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0, 5, 7, 7, 0, 1, 1, 3, 3, 6, 9, 3, 5, 6, 3, 9, 4, 1, 4, 2, 9, 6, 1, 8, 3, 7, 3, 9, 7, 8, 6, 8, 4, 3, 5, 2, 4, 2, 0, 1, 7, 7, 1, 0, 9, 8, 8, 9, 9, 1, 0, 0, 9, 5, 1, 6, 6, 9, 5, 5, 8, 9, 3, 4, 1, 2, 1, 4, 3, 4, 6, 1, 2, 1, 1, 9, 4, 7, 3, 0, 8, 8, 6, 5, 2, 4, 3, 1, 5, 7, 3, 0, 6, 4, 2, 1, 7, 2, 7, 8, 0
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OFFSET
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0,2
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COMMENTS
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The Mathematica program includes a graph. See A197133 for a guide to least x>0 satisfying sin(b*x)=(sin(c*x))^2 for selected b and c.
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LINKS
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EXAMPLE
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x=0.0577011336935639414296183739786...
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MATHEMATICA
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b = 2; c = 6; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .07}, WorkingPrecision -> 100]
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]
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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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