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%I #18 Oct 23 2024 16:33:26
%S 4,6,12,16,34,38,58,62
%N Numbers k such that 2*A064413(k) = 3*k.
%C The EKG sequence A064413 has 3 critical lines.
%C Points which belong to the critical lines:
%C (1) A064413(k) = k see A152458,
%C (3/2) 2*A064413(k) = 3*k see this sequence,
%C (1/2) 2*A064413(k) = k contains only 2 numbers: {10, 14}.
%C Only 12 and 16 in this sequence are not of the form 2*prime.
%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 Conjecture: Number of points on 3 critical lines of EKG sequence is finite (and complete?). - _Artur Jasinski_, Dec 08 2008
%C a(9) > 10^5, if it exists. - _Amiram Eldar_, Oct 23 2024
%Y Cf. A064413, A152458.
%K nonn,more
%O 1,1
%A _Artur Jasinski_, Dec 06 2008