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A197732
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Decimal expansion of 2*Pi/(1 + 2*Pi).
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2
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8, 6, 2, 6, 9, 7, 4, 3, 8, 3, 0, 1, 5, 8, 7, 0, 2, 8, 8, 5, 3, 5, 8, 7, 6, 7, 4, 2, 9, 1, 3, 5, 0, 6, 6, 4, 7, 9, 5, 9, 0, 6, 4, 7, 1, 1, 9, 4, 3, 4, 6, 3, 0, 5, 2, 1, 2, 6, 1, 6, 2, 8, 4, 1, 9, 9, 5, 2, 5, 8, 2, 3, 3, 5, 5, 4, 4, 6, 2, 1, 2, 1, 4, 6, 4, 4, 1, 4, 1, 4, 8, 0, 4, 3, 7, 1, 8, 9, 9
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OFFSET
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0,1
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COMMENTS
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Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/4 and c=Pi/2; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
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LINKS
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EXAMPLE
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0.86269743830158702885358767429135066479590...
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MATHEMATICA
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b = 1/4; c = Pi/2;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .86, .87}]
N[Pi/(2*b + 2*c), 110]
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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