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

%I #12 Apr 02 2012 20:09:25

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

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

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

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

%C Root of a degree 2010*2 = 4020 polynomial

%H Cheng Zhang, <a href="/A181918/a181918.txt">the polynomial for T = r*(r-2)</a>

%e 3.5828117795...

%Y Cf. A086178, A086179, A086180, A086181, A091517, A118452, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181916, A181917, A181919.

%K nonn,cons

%O 1,1

%A _Cheng Zhang_, Apr 01 2012