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A200490
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Decimal expansion of least x>0 satisfying x^2-4x+2=tan(x).
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2
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4, 3, 1, 4, 4, 3, 5, 4, 4, 9, 6, 7, 0, 4, 5, 5, 3, 5, 1, 5, 4, 8, 7, 4, 3, 8, 7, 5, 0, 8, 5, 5, 3, 8, 7, 3, 7, 0, 4, 0, 6, 2, 4, 5, 8, 7, 4, 9, 8, 9, 0, 5, 7, 9, 1, 2, 3, 4, 1, 6, 7, 7, 0, 1, 4, 7, 4, 5, 6, 6, 2, 6, 1, 3, 7, 5, 5, 8, 6, 7, 9, 6, 7, 4, 0, 5, 9, 6, 7, 0, 1, 4, 6, 0, 7, 2, 7, 3, 9
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OFFSET
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0,1
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COMMENTS
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See A200338 for a guide to related sequences. The Mathematica program includes a graph.
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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=0.4314435449670455351548743875085538737040...
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MATHEMATICA
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a = 1; b = -4; c = 2;
f[x_] := a*x^2 + b*x + 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, .43, .44}, WorkingPrecision -> 110]
RealDigits[r] (* A200490 *)
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CROSSREFS
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Cf. A200338.
Sequence in context: A201518 A168616 A130806 * A016499 A066204 A217537
Adjacent sequences: A200487 A200488 A200489 * A200491 A200492 A200493
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 18 2011
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STATUS
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approved
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