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 A325524 #12 Nov 26 2020 03:18:19 %S A325524 1,3,2,2,1,1,1,1,1,2,1,1,1,3,1,1,1,1,3,2,1,2,1,2,1,3,2,2,1,1,2,1,3,2, %T A325524 3,1,1,1,1,1,2,2,3,1,2,1,3,2,1,1,1,1,1,1,1,3,1,1,3,1,2,1,1,2,2,3,1,1, %U A325524 1,1,2,1,2,2,1,1,1,1,1,3,1,1,3,1,1,1 %N A325524 Difference sequence of A325431. %C A325524 See A325417 for a guide to related sequences. %C A325524 Conjecture: every term is in {1,2,3}. %H A325524 Clark Kimberling, <a href="/A325524/b325524.txt">Table of n, a(n) for n = 1..10000</a> %F A325524 Asymptotic mean: lim_{n->oo} (1/n) * Sum_{k=1..n} a(k) = 20/13. - _Amiram Eldar_, Nov 26 2020 %t A325524 a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or, %t A325524 Map[MemberQ[a, #] &, Select[Flatten[{#/3, #/4}], %t A325524 IntegerQ]]] &]], {20000}]; a; (* A315431 *) %t A325524 c = Complement[Range[Last[a]], a] ; (* A325432 *) %t A325524 Differences[a] (* A325524 *) %t A325524 Differences[c] (* A325525 *) %t A325524 (* _Peter J. C. Moses_, Apr 23 2019 *) %Y A325524 Cf. A325417, A325431, A325525. %K A325524 nonn,easy %O A325524 1,2 %A A325524 _Clark Kimberling_, May 06 2019