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A200698 Decimal expansion of least x>0 satisfying 2-3*x^2=tan(x). 2
6, 4, 4, 9, 2, 2, 7, 9, 6, 5, 0, 0, 9, 3, 2, 8, 2, 0, 0, 2, 6, 4, 2, 6, 7, 1, 8, 1, 2, 0, 3, 2, 5, 5, 5, 5, 6, 5, 6, 9, 5, 0, 5, 6, 6, 6, 3, 7, 4, 5, 2, 3, 4, 8, 0, 1, 4, 4, 4, 6, 2, 6, 9, 4, 7, 9, 7, 2, 8, 1, 4, 3, 6, 1, 3, 8, 8, 2, 7, 6, 7, 4, 9, 0, 8, 1, 9, 6, 4, 9, 8, 9, 5, 0, 6, 7, 5, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.6449227965009328200264267181203255556569505666...

MATHEMATICA

a = -3; c = 2;

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, .6, .7}, WorkingPrecision -> 110]

RealDigits[r]   (* A200698 *)

CROSSREFS

Cf. A200338.

Sequence in context: A329281 A201587 A110756 * A013661 A209273 A330934

Adjacent sequences:  A200695 A200696 A200697 * A200699 A200700 A200701

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 21 2011

STATUS

approved

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Last modified April 3 01:31 EDT 2020. Contains 333195 sequences. (Running on oeis4.)