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A200355
Decimal expansion of least x>0 satisfying x^2+4x+2=tan(x).
2
1, 4, 7, 1, 6, 4, 2, 8, 6, 9, 7, 6, 5, 3, 3, 8, 3, 0, 6, 1, 1, 0, 9, 6, 4, 7, 9, 3, 2, 9, 4, 4, 0, 1, 5, 2, 1, 6, 6, 4, 6, 5, 3, 8, 3, 5, 3, 8, 1, 8, 3, 6, 4, 2, 3, 5, 0, 3, 0, 0, 4, 4, 6, 1, 9, 6, 9, 6, 0, 1, 8, 5, 8, 7, 0, 4, 9, 3, 1, 6, 3, 1, 7, 2, 3, 8, 8, 3, 5, 3, 5, 3, 5, 5, 9, 9, 6, 5, 0
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4716428697653383061109647932944015...
MATHEMATICA
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200355 *)
CROSSREFS
Cf. A200338.
Sequence in context: A086234 A016490 A244680 * A307868 A021216 A335006
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 17 2011
STATUS
approved