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A200698
Decimal expansion of least x>0 satisfying 2-3*x^2=tan(x).
2
6, 4, 4, 9, 2, 2, 7, 9, 6, 5, 0, 0, 9, 3, 2, 8, 2, 0, 0, 2, 6, 4, 2, 6, 7, 1, 8, 1, 2, 0, 3, 2, 5, 5, 5, 5, 6, 5, 6, 9, 5, 0, 5, 6, 6, 6, 3, 7, 4, 5, 2, 3, 4, 8, 0, 1, 4, 4, 4, 6, 2, 6, 9, 4, 7, 9, 7, 2, 8, 1, 4, 3, 6, 1, 3, 8, 8, 2, 7, 6, 7, 4, 9, 0, 8, 1, 9, 6, 4, 9, 8, 9, 5, 0, 6, 7, 5, 6, 9
OFFSET
0,1
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.6449227965009328200264267181203255556569505666...
MATHEMATICA
a = -3; c = 2;
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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r] (* A200698 *)
CROSSREFS
Cf. A200338.
Sequence in context: A329281 A201587 A110756 * A013661 A209273 A330934
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 21 2011
STATUS
approved