

A200687


Decimal expansion of least x>0 satisfying 3x^2=tan(x).


2



1, 0, 7, 4, 3, 0, 7, 6, 1, 9, 5, 9, 3, 5, 8, 9, 1, 7, 7, 1, 9, 6, 3, 6, 3, 6, 3, 4, 6, 2, 8, 6, 8, 7, 2, 2, 8, 6, 3, 7, 8, 6, 5, 2, 1, 6, 3, 2, 7, 4, 8, 5, 0, 2, 3, 8, 3, 7, 3, 8, 7, 0, 4, 1, 7, 5, 0, 6, 4, 8, 9, 9, 8, 3, 5, 1, 5, 7, 8, 2, 6, 7, 7, 6, 8, 1, 7, 2, 6, 7, 9, 4, 8, 4, 1, 1, 7, 2, 8
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OFFSET

1,3


COMMENTS

See A200614 for a guide to related sequences. The Mathematica program includes a graph.


LINKS

Table of n, a(n) for n=1..99.


EXAMPLE

x=1.074307619593589177196363634628687228637...


MATHEMATICA

a = 1; c = 3;
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, 1.0, 1.1}, WorkingPrecision > 110]
RealDigits[r] (* A200687 *)


CROSSREFS

Cf. A200338.
Sequence in context: A225410 A248750 A071875 * A200121 A198348 A019857
Adjacent sequences: A200684 A200685 A200686 * A200688 A200689 A200690


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Nov 20 2011


STATUS

approved



