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A200384
Decimal expansion of least x>0 satisfying 3*x^2+1=tan(x).
2
1, 4, 3, 1, 8, 4, 8, 5, 0, 2, 0, 9, 5, 6, 7, 6, 3, 8, 7, 7, 0, 5, 6, 4, 7, 3, 7, 0, 3, 7, 4, 7, 3, 6, 2, 7, 9, 0, 3, 3, 1, 5, 0, 9, 1, 9, 3, 2, 0, 4, 2, 2, 9, 0, 3, 1, 1, 1, 1, 0, 9, 3, 2, 1, 9, 4, 7, 3, 9, 8, 3, 7, 0, 8, 2, 7, 1, 7, 5, 2, 8, 4, 1, 0, 7, 3, 9, 5, 1, 9, 7, 0, 3, 3, 8, 2, 0, 2, 6
OFFSET
1,2
COMMENTS
See A200338 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.431848502095676387705647370374736279033150...
MATHEMATICA
a = 3; b = 0; c = 1;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A200384*)
CROSSREFS
Cf. A200338.
Sequence in context: A200115 A332496 A038763 * A128007 A098458 A165914
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 17 2011
STATUS
approved