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.
%I A255583 #22 Sep 02 2024 19:33:02 %S A255583 3,9,3,14,9,20,8,10,17,36,11,37,21,12,17,57,13,51,12,21,39,62,23,38, %T A255583 39,25,27,82,23,90,31,39,49,30,31,101,66,39,27,116,31,129,41,39,66, %U A255583 135,41,65,46,45,45,148,46,67,57,45,83,168,53,178,91,69,64,64,53 %N A255583 Let EKG-n denote the EKG sequence (A064413) started with n rather than 2, and suppose EKG-n first merges with some other EKG-i (i >= 2). Then a(n) = number of steps for this to happen. %C A255583 Merging means that the sequences are identical for all future steps. EKG-2 and EKG-5 merge at step 44. From then on the sequences are identical. %H A255583 Rémy Sigrist, <a href="/A255583/b255583.txt">Table of n, a(n) for n = 2..2000</a> %H A255583 Gordon Hamilton, <a href="https://www.youtube.com/watch?v=yd2jr30K2R4">The EKG Sequence and the Tree of Numbers</a>, Oct 2013. %H A255583 Rémy Sigrist, <a href="/A255583/a255583.gp.txt">PARI program for A255583</a> %e A255583 a(5) = 14 because the EKG sequence starting with 5 (EKG-5, A169841) merges with sequences EKG-3, EKG-6, EKG-9 and EKG-12 simultaneously when all sequences hit 18. %e A255583 EKG-3: 3, 6, 2, 4, 8, 10, 5, 15, 9, 12, 14, 7, 21, 18, 16, 20, 22, 11, ... (A169837) %e A255583 EKG-6: 6, 2, 4, 8, 10, 5, 15, 3, 9, 12, 14, 7, 21, 18, 16, 20, 22, 11, ... (A169843) %e A255583 EKG-9: 9, 3, 6, 2, 4, 8, 10, 5, 15, 12, 14, 7, 21, 18, 16, 20, 22, 11, ... (A169849) %e A255583 EKG-12: 12, 2, 4, 6, 3, 9, 15, 5, 10, 8, 14, 7, 21, 18, 16, 20, 22, 11, ... (A169855) %e A255583 EKG-5: 5, 10, 2, 4, 6, 3, 9, 12, 8, 14, 7, 21, 15, 18, 16, 20, 22, 11, ... (A169841) %o A255583 (PARI) \\ See Links section. %Y A255583 Cf. A064413, A169837, A169841, A169843, A169849, A169857. %Y A255583 A255524 gives the smallest closest neighbor. %K A255583 nonn %O A255583 2,1 %A A255583 _Gordon Hamilton_, Feb 26 2015 %E A255583 More terms from _Rémy Sigrist_, Oct 06 2018