cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A152458 Numbers k that A064413(k) = k.

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%I A152458 #22 Oct 23 2024 16:33:15
%S A152458 1,2,8,40,64
%N A152458 Numbers k that A064413(k) = k.
%C A152458 Conjecture: This sequence is finite.
%C A152458 Contribution from _Artur Jasinski_, Dec 08 2008: (Start)
%C A152458 The EKG sequence A064413 has 3 critical lines.
%C A152458 Numbers which belong to the critical lines:
%C A152458 (1) A064413(k) = k see this sequence,
%C A152458 (3/2) 2*A064413(k) = 3*k see A152519,
%C A152458 (1/2) 2*A064413(k) = k has only 2 numbers {10, 14}.
%C A152458 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 A152458 Is this sequence complete? (End)
%C A152458 Also fixed points of A247379. - _Reinhard Zumkeller_, Sep 15 2014
%C A152458 a(6) > 10^5, if it exists. - _Amiram Eldar_, Oct 23 2024
%o A152458 (Haskell)
%o A152458 a152458 n = a152458_list !! (n-1)
%o A152458 a152458_list = [x | x <- [1..], a064413 x == x]
%o A152458 -- _Reinhard Zumkeller_, Sep 15 2014
%Y A152458 Cf. A064413, A152519, A247379.
%K A152458 nonn,more
%O A152458 1,2
%A A152458 _Artur Jasinski_, Dec 05 2008