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A197692
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Decimal expansion of (Pi^2)/(2+4*Pi).
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2
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6, 7, 7, 5, 6, 0, 9, 8, 3, 6, 0, 9, 7, 4, 9, 9, 3, 1, 0, 0, 8, 9, 6, 2, 3, 8, 6, 5, 3, 3, 4, 5, 6, 8, 8, 7, 9, 4, 9, 8, 0, 4, 0, 4, 0, 9, 4, 4, 4, 8, 3, 1, 6, 7, 0, 9, 2, 1, 5, 9, 1, 1, 2, 5, 5, 2, 0, 1, 3, 3, 7, 3, 6, 5, 2, 1, 2, 1, 4, 7, 3, 1, 3, 8, 7, 0, 3, 5, 2, 9, 4, 8, 4, 9, 8, 2, 7, 7, 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(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=2 and c=1/Pi; 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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0.6775609836097499310089623865334568879498040...
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MAPLE
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MATHEMATICA
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b = 2; c = 1/Pi;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .6, .7}]
N[Pi/(2*b + 2*c), 110]
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1}]
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PROG
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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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