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A197333
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Decimal expansion of least x>0 having sin(3x)=(sin pi*x/4)^2.
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2
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9, 0, 1, 6, 0, 3, 2, 1, 8, 9, 4, 8, 1, 8, 5, 7, 0, 3, 8, 0, 2, 3, 6, 2, 4, 1, 9, 2, 8, 6, 1, 6, 1, 0, 9, 4, 7, 6, 2, 0, 4, 3, 0, 6, 8, 7, 4, 3, 7, 4, 6, 0, 2, 7, 7, 2, 5, 8, 0, 1, 4, 3, 0, 3, 3, 2, 9, 4, 6, 0, 7, 5, 3, 7, 0, 5, 1, 7, 2, 1, 8, 4, 3, 7, 4, 1, 2, 0, 0, 3, 3, 8, 9, 1, 1, 7, 8, 5, 2
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OFFSET
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0,1
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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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Table of n, a(n) for n=0..98.
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EXAMPLE
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x=0.9016032189481857038023624192861610947620...
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MATHEMATICA
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b = 3; c = Pi/4; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .8, 1}, WorkingPrecision -> 200]
RealDigits[t] (* A197333 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.2}]
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CROSSREFS
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Cf. A197133.
Sequence in context: A021530 A110909 A197070 * A226120 A118811 A200488
Adjacent sequences: A197330 A197331 A197332 * A197334 A197335 A197336
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 13 2011
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STATUS
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approved
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