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A200689
Decimal expansion of least x>0 satisfying 5-x^2=tan(x).
2
1, 2, 8, 1, 3, 6, 9, 9, 1, 6, 6, 2, 1, 1, 5, 5, 8, 6, 8, 0, 9, 8, 5, 7, 6, 9, 0, 4, 5, 3, 4, 8, 9, 4, 9, 8, 9, 6, 2, 9, 2, 2, 9, 3, 1, 0, 2, 9, 1, 2, 0, 6, 0, 3, 0, 1, 7, 2, 7, 7, 1, 0, 8, 9, 2, 9, 2, 0, 3, 2, 2, 9, 6, 1, 0, 7, 0, 5, 1, 3, 1, 9, 8, 6, 7, 5, 5, 1, 1, 3, 0, 5, 0, 3, 4, 4, 7, 0, 3
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.2813699166211558680985769045348949896292293...
MATHEMATICA
a = -1; c = 5;
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, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A200689 *)
CROSSREFS
Cf. A200338.
Sequence in context: A081882 A242070 A155694 * A143198 A100064 A153188
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 21 2011
STATUS
approved