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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.

A365838 a(1)=2; thereafter extend the sequence by appending its nondecreasing run transform, recompute the nondecreasing run transform, append it, and so on.

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%I A365838 #22 Sep 28 2023 12:11:35
%S A365838 2,1,1,1,1,3,1,5,1,5,2,1,5,2,2,1,1,5,2,2,1,2,2,1,1,5,2,2,1,2,2,3,2,3,
%T A365838 1,1,5,2,2,1,2,2,3,2,3,3,2,4,2,1,1,5,2,2,1,2,2,3,2,3,3,2,4,2,3,2,4,3,
%U A365838 2,1,1,1,5,2,2,1,2,2,3,2,3,3,2,4,2,3,2,4,3,2,1,3,2,4,3,2,2,2,1,1
%N A365838 a(1)=2; thereafter extend the sequence by appending its nondecreasing run transform, recompute the nondecreasing run transform, append it, and so on.
%C A365838 The nondecreasing run transform replaces each run of weakly increasing terms with a single value which is the length of that run.
%H A365838 Neal Gersh Tolunsky, <a href="/A365838/b365838.txt">Table of n, a(n) for n = 1..9294</a> (first 25 rows)
%H A365838 Neal Gersh Tolunsky, <a href="/A365838/a365838.png">Ordinal transform on the first 35 iterations of the sequence</a>
%e A365838 Irregular triangle in which each row (after the initial 2) is the nondecreasing run transform of the concatenation of the previous rows:
%e A365838   2;
%e A365838   1;
%e A365838   1, 1;
%e A365838   1, 3;
%e A365838   1, 5;
%e A365838   1, 5, 2;
%e A365838   1, 5, 2, 2, 1;
%e A365838   1, 5, 2, 2, 1, 2, 2, 1;
%e A365838   1, 5, 2, 2, 1, 2, 2, 3, 2, 3, 1;
%e A365838   1, 5, 2, 2, 1, 2, 2, 3, 2, 3, 3, 2, 4, 2, 1;
%e A365838   ...
%Y A365838 Cf. A365836, A306211.
%K A365838 nonn,tabf
%O A365838 1,1
%A A365838 _Neal Gersh Tolunsky_, Sep 20 2023