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A201322 Decimal expansion of x satisfying 4*x^2-1=cot(x) and 0<x<pi. 2
7, 2, 8, 2, 4, 6, 5, 3, 2, 3, 5, 5, 2, 8, 6, 1, 4, 2, 6, 5, 1, 8, 2, 0, 1, 9, 5, 7, 7, 8, 8, 3, 8, 8, 3, 3, 3, 2, 3, 2, 5, 6, 1, 1, 4, 0, 4, 2, 4, 4, 1, 4, 9, 5, 7, 0, 8, 4, 0, 7, 1, 2, 0, 2, 4, 6, 8, 1, 5, 9, 5, 6, 3, 0, 7, 6, 8, 7, 0, 7, 1, 1, 1, 2, 1, 3, 0, 1, 1, 6, 7, 8, 5, 9, 1, 4, 2, 8, 6 (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=0.7282465323552861426518201957788388333...

MATHEMATICA

a = 4; 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, .7, .8}, WorkingPrecision -> 110]

RealDigits[r]   (* A201322 *)

CROSSREFS

Cf. A201280.

Sequence in context: A197845 A082633 A121239 * A093753 A249506 A199046

Adjacent sequences:  A201319 A201320 A201321 * A201323 A201324 A201325

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 30 2011

STATUS

approved

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Last modified November 12 16:45 EST 2019. Contains 329058 sequences. (Running on oeis4.)