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A200397
Decimal expansion of least x>0 satisfying 3*x^2+3*x+4=tan(x).
2
1, 5, 0, 5, 6, 0, 3, 3, 3, 1, 8, 3, 8, 0, 2, 7, 2, 2, 5, 3, 2, 2, 1, 6, 6, 4, 4, 4, 5, 7, 7, 7, 4, 5, 8, 4, 6, 1, 2, 3, 8, 9, 4, 5, 8, 3, 9, 6, 1, 2, 7, 5, 5, 5, 5, 0, 8, 8, 8, 9, 1, 9, 9, 0, 1, 7, 9, 2, 7, 8, 1, 0, 2, 0, 9, 1, 0, 9, 4, 8, 7, 7, 0, 9, 3, 7, 3, 7, 4, 0, 4, 6, 6, 1, 8, 8, 5, 6, 2
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.505603331838027225322166444577745846123894583...
MATHEMATICA
a = 3; b = 3; c = 4;
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, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[r] (* A200397 *)
CROSSREFS
Cf. A200338.
Sequence in context: A238192 A156716 A055510 * A265302 A228764 A200631
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 17 2011
STATUS
approved