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A200693
Decimal expansion of least x>0 satisfying 9-x^2=tan(x).
2
1, 4, 2, 8, 1, 0, 5, 1, 9, 3, 9, 3, 4, 3, 8, 0, 7, 4, 9, 6, 9, 9, 5, 8, 6, 0, 5, 3, 7, 1, 3, 8, 8, 0, 6, 8, 6, 8, 4, 6, 8, 5, 5, 4, 3, 1, 1, 1, 4, 3, 9, 5, 2, 6, 2, 3, 4, 1, 3, 0, 3, 3, 5, 3, 1, 6, 9, 1, 5, 3, 5, 2, 3, 5, 7, 8, 6, 3, 7, 5, 1, 3, 6, 4, 0, 7, 0, 3, 8, 4, 1, 7, 1, 2, 7, 5, 8, 0, 5
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4281051939343807496995860537138806868468554311...
MATHEMATICA
a = -1; c = 9;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200693 *)
CROSSREFS
Cf. A200338.
Sequence in context: A201414 A199814 A195347 * A348681 A241298 A019953
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 21 2011
STATUS
approved