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%I #15 Sep 16 2014 16:19:39
%S 1,2,8,40,64
%N Numbers n that A064413(n) = n.
%C Conjecture: This sequence is finite.
%C Contribution from _Artur Jasinski_, Dec 08 2008: (Start)
%C The EKG sequence A064413 has 3 critical lines.
%C Numbers which belong to the critical lines:
%C (1) A064413(n)=n see A152458,
%C (3/2) 2*A064413(n)=3n see A152519,
%C (1/2) 2*A064413(n)=n has only 2 numbers {10, 14}.
%C Because points are concentrated on the plot of EKG sequence near these 3 critical lines, the number of points belonging to critical lines is surprisingly low.
%C Is this sequence complete? (End)
%C Also fixed points of A247379. - _Reinhard Zumkeller_, Sep 15 2014
%o (Haskell)
%o a152458 n = a152458_list !! (n-1)
%o a152458_list = [x | x <- [1..], a064413 x == x]
%o -- _Reinhard Zumkeller_, Sep 15 2014
%Y Cf. A064413, A152519.
%Y Cf. A247379.
%K nonn
%O 1,2
%A _Artur Jasinski_, Dec 05 2008
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