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A201289 Decimal expansion of x satisfying x^2+10=cot(x) and 0<x<pi. 2
9, 9, 5, 7, 0, 5, 8, 7, 3, 4, 8, 9, 9, 3, 4, 7, 8, 9, 4, 3, 3, 0, 6, 5, 8, 4, 3, 4, 4, 9, 3, 3, 8, 8, 1, 3, 6, 2, 4, 3, 3, 7, 6, 6, 3, 4, 3, 9, 3, 8, 8, 9, 4, 3, 0, 4, 4, 6, 9, 5, 2, 4, 0, 8, 3, 1, 8, 2, 4, 7, 3, 3, 6, 4, 6, 2, 2, 2, 2, 7, 4, 3, 9, 1, 4, 1, 3, 6, 9, 2, 1, 1, 2, 8, 0, 8, 1, 8, 3 (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=0.09957058734899347894330658434493388...

MATHEMATICA

a = 1; c = 10;

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, .09, 1.0}, WorkingPrecision -> 110]

RealDigits[r]    (* A201289 *)

CROSSREFS

Cf. A201280.

Sequence in context: A229191 A131744 A076416 * A091133 A334452 A195480

Adjacent sequences:  A201286 A201287 A201288 * A201290 A201291 A201292

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

STATUS

approved

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Last modified August 13 22:34 EDT 2020. Contains 336465 sequences. (Running on oeis4.)