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A200705
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Decimal expansion of least x>0 satisfying 1-10*x^2=tan(x).
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1
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2, 6, 9, 1, 0, 9, 6, 7, 1, 2, 7, 8, 9, 4, 6, 5, 6, 6, 5, 2, 2, 4, 7, 0, 6, 4, 8, 2, 1, 9, 0, 2, 1, 0, 5, 8, 8, 3, 5, 6, 2, 1, 2, 2, 4, 0, 2, 4, 2, 2, 0, 3, 0, 8, 0, 4, 9, 1, 0, 9, 0, 4, 2, 1, 6, 2, 3, 8, 2, 2, 1, 7, 3, 9, 0, 8, 7, 4, 5, 0, 3, 9, 0, 8, 0, 3, 0, 7, 1, 4, 4, 5, 9, 5, 3, 2, 3, 4, 5
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OFFSET
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0,1
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COMMENTS
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See A200614 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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x=0.2691096712789465665224706482190210588356212...
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MATHEMATICA
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a = -10; c = 1;
f[x_] := a*x^2 + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]
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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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