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A201281 Decimal expansion of x satisfying x^2+2=cot(x) and 0<x<pi. 2
4, 2, 9, 3, 2, 7, 9, 4, 1, 7, 9, 4, 5, 8, 6, 4, 3, 6, 7, 9, 2, 8, 3, 2, 6, 2, 2, 9, 1, 3, 0, 2, 8, 5, 3, 1, 4, 3, 2, 5, 1, 6, 6, 6, 0, 2, 1, 0, 8, 2, 5, 6, 4, 6, 5, 8, 6, 7, 1, 6, 5, 5, 2, 6, 5, 5, 8, 6, 7, 2, 9, 9, 7, 1, 5, 1, 2, 3, 2, 6, 8, 8, 8, 8, 2, 5, 3, 6, 5, 6, 0, 9, 9, 0, 8, 3, 5, 2, 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=0.42932794179458643679283262291302853143...

MATHEMATICA

a = 1; c = 2;

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, .42, .43}, WorkingPrecision -> 110]

RealDigits[r]   (* A201281 *)

CROSSREFS

Cf. A201280.

Sequence in context: A180434 A201574 A077809 * A095303 A060734 A075594

Adjacent sequences:  A201278 A201279 A201280 * A201282 A201283 A201284

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 29 2011

STATUS

approved

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Last modified February 20 16:42 EST 2020. Contains 332080 sequences. (Running on oeis4.)