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A200494
Decimal expansion of least x>0 satisfying 2*x^2-x+2=tan(x).
2
1, 3, 3, 9, 7, 0, 0, 0, 0, 4, 3, 1, 9, 6, 5, 6, 6, 5, 2, 2, 4, 3, 8, 9, 3, 6, 5, 9, 7, 7, 1, 9, 6, 6, 6, 8, 3, 8, 2, 9, 0, 2, 2, 2, 2, 2, 9, 9, 7, 0, 2, 8, 0, 4, 8, 6, 2, 7, 9, 1, 2, 0, 2, 1, 5, 6, 3, 0, 4, 8, 4, 4, 0, 9, 4, 2, 2, 9, 1, 0, 4, 8, 0, 9, 8, 4, 7, 3, 3, 3, 5, 3, 4, 6, 8, 4, 7, 3, 8, 5
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.339700004319656652243893659771966683829022222...
MATHEMATICA
a = 2; b = -1; 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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A200494 *)
CROSSREFS
Cf. A200338.
Sequence in context: A227075 A165351 A215665 * A156164 A198613 A197031
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 18 2011
STATUS
approved