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 A308009 #13 May 15 2019 00:42:48 %S A308009 1,1,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2, %T A308009 0,1,2,0,1,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1, %U A308009 2,0,1,0,1,2,0,1,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2 %N A308009 The terms of A081145 appear to lie on three lines; set a(n) = 0 if A081145(n) is on the lower line, 1 if it is on the middle line, and 2 if it is on the upper line. %C A308009 Certainly the first 10^6 terms of A081145 lie on three roughly straight lines, of slopes roughly 0.56, 1.40, 2.24. See the graph of A081145 and the data file of _Allan Wilks_ attached to that entry. It is a strong conjecture that all terms of A081145 lie on three roughly straight lines. %C A308009 In the first 100000 terms, ignoring the initial three terms, usually we see (2,0,1) repeated many times. Occasionally the pattern will be interrupted when (2,0,1) is followed by one or more copies of (0,1) before the repetitions of (2,0,1) resume. The other transitions 0,0; 0,2; 1,1; 2,1; 2,2 seem to never occur. %C A308009 It would be nice to have a better understanding of this sequence. %H A308009 Allan Wilks, <a href="/A308009/b308009.txt">Table of n, a(n) for n = 1..100000</a> %Y A308009 Cf. A081145. %K A308009 nonn %O A308009 1,4 %A A308009 _N. J. A. Sloane_, May 14 2019