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A201318 Decimal expansion of x satisfying x^2-9=cot(x) and 0<x<pi. 2
2, 6, 6, 1, 1, 0, 3, 4, 3, 8, 5, 8, 4, 5, 7, 3, 1, 3, 5, 5, 1, 7, 4, 2, 4, 4, 5, 0, 0, 6, 0, 0, 4, 6, 1, 1, 7, 9, 7, 2, 5, 4, 8, 7, 0, 2, 3, 2, 1, 9, 2, 5, 4, 2, 2, 6, 3, 2, 4, 5, 3, 5, 6, 2, 9, 5, 0, 0, 7, 0, 6, 8, 9, 3, 8, 0, 5, 6, 5, 2, 3, 1, 9, 8, 7, 2, 1, 3, 1, 2, 6, 5, 9, 9, 0, 5, 5, 1, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A201280 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=2.6611034385845731355174244500600...

MATHEMATICA

a = 1; c = -9;

f[x_] := a*x^2 + c; g[x_] := Cot[x]

Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 2.6, 2.7}, WorkingPrecision -> 110]

RealDigits[r]   (* A201318 *)

CROSSREFS

Cf. A201280.

Sequence in context: A197036 A110666 A200485 * A242001 A175994 A283613

Adjacent sequences:  A201315 A201316 A201317 * A201319 A201320 A201321

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 30 2011

STATUS

approved

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Last modified January 21 05:23 EST 2020. Contains 331104 sequences. (Running on oeis4.)