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A201285 Decimal expansion of x satisfying x^2 + 6 = cot(x) and 0 < x < Pi. 2
1, 6, 4, 4, 2, 1, 2, 0, 9, 0, 5, 0, 2, 9, 5, 4, 7, 0, 9, 4, 1, 5, 2, 9, 9, 9, 5, 0, 6, 8, 4, 2, 9, 6, 1, 7, 2, 8, 4, 9, 7, 1, 8, 1, 9, 5, 7, 2, 0, 0, 9, 7, 1, 9, 5, 2, 1, 1, 9, 3, 7, 0, 0, 4, 9, 2, 3, 5, 1, 6, 7, 5, 6, 3, 5, 5, 2, 3, 7, 7, 9, 4, 9, 1, 3, 0, 0, 7, 5, 3, 6, 1, 2, 5, 5, 4, 4, 6, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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

0.16442120905029547094152999506842961...

MATHEMATICA

a = 1; c = 6;

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, .1, .2}, WorkingPrecision -> 110]

RealDigits[r]    (* A201285 *)

CROSSREFS

Cf. A201280.

Sequence in context: A095156 A198550 A029680 * A317127 A195359 A338303

Adjacent sequences:  A201282 A201283 A201284 * A201286 A201287 A201288

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

EXTENSIONS

Offset and a(83) onwards corrected by Georg Fischer, Aug 03 2021

STATUS

approved

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)