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A201328 Decimal expansion of x satisfying 10*x^2-1=cot(x) and 0<x<pi. 2
5, 2, 2, 9, 4, 1, 8, 3, 0, 5, 6, 4, 4, 4, 6, 6, 3, 1, 5, 9, 1, 8, 6, 1, 8, 5, 6, 1, 6, 3, 9, 6, 6, 8, 9, 0, 9, 4, 0, 6, 9, 3, 6, 3, 6, 5, 8, 7, 5, 9, 3, 0, 4, 1, 0, 8, 6, 5, 6, 6, 1, 9, 9, 0, 2, 3, 3, 3, 5, 3, 0, 5, 8, 9, 4, 2, 9, 7, 8, 5, 6, 3, 9, 7, 8, 7, 6, 1, 9, 0, 7, 2, 8, 6, 4, 5, 3, 4, 1 (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=0.522941830564446631591861856163966890940693...

MATHEMATICA

a = 10; c = -1;

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, .5, .6}, WorkingPrecision -> 110]

RealDigits[r]   (* A201328 *)

CROSSREFS

Cf. A201280.

Sequence in context: A201421 A200645 A011411 * A199189 A145438 A244290

Adjacent sequences:  A201325 A201326 A201327 * A201329 A201330 A201331

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 30 2011

STATUS

approved

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Last modified February 19 16:24 EST 2020. Contains 332045 sequences. (Running on oeis4.)