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A181915 The value of r at the bifurcation point of the first period-9 cycle of the logistic map f(x) = r*x*(1 - x). 12

%I #14 Apr 02 2012 23:07:06

%S 3,6,8,7,2,7,4,2,1,0,5,3,6,0,0,0,6,5,6,6,1,8,5,8,1,6,5,8,4,0,8,3,4,5,

%T 0,9,7,2,1,4,4,2,7,7,1,4,0,2,3,5,6,3,6,9,9,1,2,5,1,7,9,3,4,0,9,0,6,9,

%U 3,2,4,9,2,8,8,2,9,9,1,1,9,8,3,7,6,5,7,2,6,2,4,9,5,5,6,0,9,9,8,0

%N The value of r at the bifurcation point of the first period-9 cycle of the logistic map f(x) = r*x*(1 - x).

%C Root of a degree 252*2 = 504 polynomial.

%H Cheng Zhang, <a href="/A181915/a181915.txt">the minimal polynomial for T = r*(r-2)</a>

%e 3.6872742105...

%Y Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181916, A181917, A181918, A181919.

%K nonn,cons

%O 1,1

%A _Cheng Zhang_, Apr 01 2012

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