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A197726
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Decimal expansion of pi/(1+pi).
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4
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7, 5, 8, 5, 4, 6, 9, 9, 2, 9, 9, 4, 7, 7, 6, 1, 4, 5, 3, 4, 4, 4, 3, 0, 6, 8, 9, 0, 4, 4, 8, 9, 2, 8, 6, 4, 1, 3, 8, 4, 2, 6, 3, 6, 5, 6, 4, 0, 5, 3, 0, 9, 9, 6, 6, 6, 8, 9, 8, 8, 2, 1, 3, 7, 8, 2, 5, 4, 8, 1, 3, 7, 1, 0, 0, 9, 5, 7, 3, 7, 6, 3, 2, 0, 6, 3, 3, 1, 7, 4, 0, 1, 5, 3, 5, 5, 7, 7, 2
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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(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=1/2 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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Table of n, a(n) for n=0..98.
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EXAMPLE
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x=0.7585469929947761453444306890448928641384...
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MATHEMATICA
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b = 1/2; c = Pi/2;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .75, .76}]
N[Pi/(2*b + 2*c), 110]
RealDigits[%] (* A197726 *)
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2}]
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CROSSREFS
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Cf. A197682.
Sequence in context: A262899 A198922 A329810 * A153623 A242623 A081815
Adjacent sequences: A197723 A197724 A197725 * A197727 A197728 A197729
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 17 2011
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STATUS
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approved
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