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A201294 Decimal expansion of x satisfying x^2 = cot(x) and 0 < x < Pi. 2
8, 9, 5, 2, 0, 6, 0, 4, 5, 3, 8, 4, 2, 3, 1, 8, 5, 0, 0, 7, 5, 5, 5, 0, 7, 9, 9, 5, 4, 9, 1, 6, 8, 5, 9, 2, 5, 0, 2, 2, 4, 6, 2, 3, 9, 1, 1, 5, 6, 8, 3, 3, 4, 0, 9, 6, 3, 7, 4, 6, 0, 1, 9, 6, 6, 5, 4, 8, 8, 9, 1, 4, 8, 8, 3, 9, 5, 6, 9, 0, 7, 4, 6, 1, 8, 9, 0, 4, 4, 5, 3, 1, 6, 2, 9, 4, 8, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

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

EXAMPLE

x=0.8952060453842318500755507995491685925...

MATHEMATICA

a = 1; c = 0;

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

Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]

RealDigits[r] (* A201294 *)

CROSSREFS

Cf. A201280.

Sequence in context: A203071 A091725 A029689 * A199383 A199460 A245772

Adjacent sequences: A201291 A201292 A201293 * A201295 A201296 A201297

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

STATUS

approved

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Last modified December 1 21:09 EST 2022. Contains 358484 sequences. (Running on oeis4.)