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A200632
Decimal expansion of least x>0 satisfying 6*x^2=tan(x).
2
1, 4, 9, 6, 5, 1, 3, 6, 4, 8, 2, 6, 7, 2, 5, 4, 1, 7, 0, 8, 4, 0, 7, 6, 6, 7, 6, 9, 1, 9, 8, 0, 8, 8, 3, 7, 0, 7, 2, 1, 2, 0, 8, 4, 9, 0, 1, 4, 3, 4, 3, 6, 3, 3, 8, 7, 5, 9, 3, 5, 1, 5, 0, 0, 4, 0, 0, 3, 5, 0, 5, 4, 0, 0, 8, 3, 0, 0, 9, 3, 9, 3, 2, 2, 6, 0, 7, 5, 9, 7, 9, 9, 4, 1, 5, 6, 0, 3, 8
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4965136482672541708407667691980883707212084901...
MATHEMATICA
a = 6; c = 0;
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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r] (* A200632 *)
CROSSREFS
Cf. A200338.
Sequence in context: A201415 A363939 A094090 * A186723 A008959 A316347
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 20 2011
STATUS
approved