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A200346
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Decimal expansion of least x>0 satisfying x^2+2x+1=tan(x).
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2
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1, 3, 9, 8, 7, 1, 8, 4, 7, 5, 9, 7, 1, 1, 1, 4, 8, 0, 4, 5, 0, 6, 7, 2, 5, 2, 5, 7, 2, 2, 8, 0, 9, 9, 4, 9, 8, 1, 7, 4, 9, 0, 9, 2, 2, 8, 3, 8, 8, 0, 5, 5, 0, 4, 0, 7, 4, 4, 2, 1, 2, 8, 2, 8, 7, 5, 3, 6, 0, 7, 5, 4, 4, 1, 9, 0, 1, 4, 7, 9, 0, 0, 4, 3, 4, 4, 3, 8, 6, 3, 2, 4, 8, 7, 0, 4, 8, 9, 8
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OFFSET
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1,2
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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=1..99.
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EXAMPLE
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x=1.398718475971114804506725257228099498174...
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MATHEMATICA
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a = 1; b = 2; c = 1;
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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A200346 *)
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CROSSREFS
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Cf. A200338.
Sequence in context: A070342 A125125 A021719 * A351404 A199781 A193117
Adjacent sequences: A200343 A200344 A200345 * A200347 A200348 A200349
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 16 2011
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STATUS
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approved
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