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A201291 Decimal expansion of x satisfying 2*x^2+3=cot(x) and 0<x<pi. 2
3, 0, 4, 2, 1, 6, 5, 4, 8, 8, 1, 1, 0, 0, 8, 6, 7, 8, 2, 1, 0, 7, 5, 6, 9, 6, 3, 3, 0, 1, 3, 9, 7, 8, 2, 6, 7, 2, 6, 1, 3, 0, 8, 9, 8, 1, 6, 7, 7, 5, 6, 9, 8, 4, 1, 2, 4, 0, 5, 7, 0, 6, 8, 0, 3, 1, 8, 4, 0, 7, 9, 3, 8, 5, 8, 9, 5, 5, 7, 5, 0, 7, 3, 1, 6, 0, 9, 1, 8, 6, 6, 9, 7, 8, 1, 2, 9, 2, 8 (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=0.304216548811008678210756963301397826726130...

MATHEMATICA

a = 2; c = 3;

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, .3, .4}, WorkingPrecision -> 110]

RealDigits[r]   (* A201291 *)

CROSSREFS

Cf. A201280.

Sequence in context: A131486 A127445 A081170 * A077150 A065453 A152770

Adjacent sequences:  A201288 A201289 A201290 * A201292 A201293 A201294

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

STATUS

approved

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Last modified August 29 02:15 EDT 2015. Contains 261184 sequences.