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A201335 Decimal expansion of x satisfying 8*x^2=cot(x) and 0<x<pi. 2
4, 8, 6, 2, 7, 7, 9, 6, 7, 8, 2, 5, 0, 6, 5, 8, 6, 3, 3, 1, 3, 3, 8, 4, 3, 3, 0, 9, 6, 3, 3, 0, 0, 2, 1, 9, 9, 6, 5, 8, 9, 6, 1, 1, 8, 6, 8, 1, 0, 1, 9, 5, 6, 2, 7, 4, 4, 0, 0, 0, 8, 5, 1, 5, 1, 3, 3, 5, 1, 1, 0, 7, 2, 8, 3, 3, 0, 6, 8, 7, 9, 1, 4, 9, 0, 7, 4, 7, 8, 0, 6, 9, 0, 0, 5, 3, 6, 3, 4 (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=0.48627796782506586331338433096330021996589611...

MATHEMATICA

a = 8; 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, .4, .5}, WorkingPrecision -> 110]

RealDigits[r]   (* A201335 *)

CROSSREFS

Cf. A201280.

Sequence in context: A198241 A175475 A193082 * A219246 A296488 A199294

Adjacent sequences:  A201332 A201333 A201334 * A201336 A201337 A201338

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 30 2011

STATUS

approved

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Last modified April 6 10:50 EDT 2020. Contains 333273 sequences. (Running on oeis4.)