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A200415
Decimal expansion of least x>0 satisfying 4*x^2+x+4=tan(x).
2
1, 5, 0, 2, 0, 6, 6, 8, 7, 6, 3, 2, 6, 6, 0, 9, 2, 5, 5, 1, 5, 1, 6, 4, 8, 8, 1, 7, 3, 5, 4, 6, 9, 7, 6, 3, 0, 8, 7, 5, 0, 0, 3, 9, 7, 4, 6, 0, 8, 4, 4, 8, 8, 3, 4, 9, 5, 4, 1, 4, 7, 7, 4, 1, 5, 1, 3, 3, 0, 3, 5, 5, 7, 8, 6, 1, 3, 0, 7, 8, 7, 4, 5, 8, 9, 4, 1, 4, 0, 7, 7, 8, 1, 8, 7, 7, 0, 8, 4
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.5020668763266092551516488173546976308750039746...
MATHEMATICA
a = 4; b = 1; 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, 1.51}, WorkingPrecision -> 110]
RealDigits[r] (* A200415 *)
CROSSREFS
Cf. A200338.
Sequence in context: A356652 A267480 A099221 * A200418 A200637 A318137
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 18 2011
STATUS
approved