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A201316 Decimal expansion of x satisfying x^2 - 7 = cot(x) and 0 < x < Pi. 2
2, 4, 2, 0, 9, 9, 4, 1, 9, 8, 6, 5, 6, 6, 9, 2, 6, 6, 4, 5, 0, 3, 7, 5, 7, 3, 3, 7, 4, 3, 9, 8, 7, 9, 4, 0, 2, 0, 3, 7, 2, 5, 9, 0, 8, 5, 3, 4, 7, 2, 0, 0, 6, 4, 7, 7, 3, 4, 8, 0, 5, 3, 3, 4, 6, 7, 2, 0, 2, 6, 2, 1, 3, 0, 1, 4, 5, 7, 9, 7, 4, 7, 2, 2, 5, 9, 7, 9, 7, 8, 3, 8, 8, 4, 1, 8, 1, 0, 9 (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=2.4209941986566926645037573374398794020...

MATHEMATICA

a = 1; c = -7;

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, 2.4, 2.5}, WorkingPrecision -> 110]

RealDigits[r] (* A201316 *)

CROSSREFS

Cf. A201280.

Sequence in context: A300329 A094239 A273240 * A105023 A279315 A303293

Adjacent sequences: A201313 A201314 A201315 * A201317 A201318 A201319

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

STATUS

approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)