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A200693 Decimal expansion of least x>0 satisfying 9-x^2=tan(x). 2
1, 4, 2, 8, 1, 0, 5, 1, 9, 3, 9, 3, 4, 3, 8, 0, 7, 4, 9, 6, 9, 9, 5, 8, 6, 0, 5, 3, 7, 1, 3, 8, 8, 0, 6, 8, 6, 8, 4, 6, 8, 5, 5, 4, 3, 1, 1, 1, 4, 3, 9, 5, 2, 6, 2, 3, 4, 1, 3, 0, 3, 3, 5, 3, 1, 6, 9, 1, 5, 3, 5, 2, 3, 5, 7, 8, 6, 3, 7, 5, 1, 3, 6, 4, 0, 7, 0, 3, 8, 4, 1, 7, 1, 2, 7, 5, 8, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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=1.4281051939343807496995860537138806868468554311...

MATHEMATICA

a = -1; c = 9;

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, 1.4, 1.5}, WorkingPrecision -> 110]

RealDigits[r]   (* A200693 *)

CROSSREFS

Cf. A200338.

Sequence in context: A201414 A199814 A195347 * A241298 A019953 A241005

Adjacent sequences:  A200690 A200691 A200692 * A200694 A200695 A200696

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 21 2011

STATUS

approved

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Last modified April 9 20:55 EDT 2020. Contains 333363 sequences. (Running on oeis4.)