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 A103747 #33 Jan 13 2024 20:32:46
%S A103747 2,6,10,14,18,22,26,30,34,38,42,46,50,54,58,126,130,134,138,142,146,
%T A103747 150,154,158,162,166,170,174,178,182,186,254,258,262,266,270,274,278,
%U A103747 282,286,290,294,298,302,306,310,314,382,386,390,394,398,402,406,410,414,418,422
%N A103747 Trajectory of 2 under repeated application of the map n -> A102370(n).
%C A103747 Although it initially appears that a(n)-8n is the 16-periodic sequence {-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42,-46,-50,-54,6,2}, this pattern eventually breaks down. However, the first divergence occurs beyond the first 400 million terms.
%C A103747 (a(n)) agrees with the 16-periodic sequence up to a(2^67-1) = 2^70 - 70, but then diverges with a(2^67) = 2^71 - 2. - _Charlie Neder_, Feb 07 2019
%H A103747 Reinhard Zumkeller, <a href="/A103747/b103747.txt">Table of n, a(n) for n = 1..1000</a>
%H A103747 David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [<a href="http://neilsloane.com/doc/slopey.pdf">pdf</a>, <a href="http://neilsloane.com/doc/slopey.ps">ps</a>], preprint, 2005.
%H A103747 David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL8/Sloane/sloane300.html">Sloping binary numbers: a new sequence related to the binary numbers</a>, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
%H A103747 <a href="/index/Se#sequences_which_agree_for_a_long_time">Index entries for sequences which agree for a long time but are different</a>
%o A103747 (Haskell)
%o A103747 a103747 n = a103747_list !! (n-1)
%o A103747 a103747_list = iterate (fromInteger . a102370) 2
%o A103747 -- _Reinhard Zumkeller_, Jul 21 2012
%Y A103747 Cf. A102370, A132417.
%Y A103747 Trajectories of other numbers: A103192 (1), A103621 (7), A158953 (12), A159887 (29).
%K A103747 nonn,base
%O A103747 1,1
%A A103747 _Benoit Cloitre_ and _David Applegate_, Mar 25 2005
%E A103747 Edited by _Peter Munn_, Jan 13 2024