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 A055180 #16 Nov 11 2022 14:59:16
%S A055180 4,4,1,4,2,1,1,4,3,1,3,2,1,4,4,1,5,2,2,3,2,4,6,1,6,2,5,3,3,5,1,4,7,1,
%T A055180 8,2,6,3,5,5,3,6,2,4,8,1,9,2,8,3,7,5,5,6,4,7,1,8,1,4,10,1,12,2,9,3,8,
%U A055180 5,7,6,5,7,3,8,4,9,1,4,12,1,14,2,10,3,10,5,9
%N A055180 Cumulative counting sequence: method B (noun,adjective)-pairs with first term 4.
%C A055180 Segments (generated as at A055168): 4; 4,1; 4,2,1,1; 4,3,1,3,2,1; ...
%C A055180 Conjecture: every positive integer occurs.
%H A055180 Seiichi Manyama, <a href="/A055180/b055180.txt">Table of n, a(n) for n = 1..10000</a>
%e A055180 Write 4, thus having 4 once, thus having 4 twice and 1 once, thus having 4 3 times and 1 3 times and 2 once, etc.
%t A055180 s = {4}; Do[s = Flatten[{s, {#,Count[s, #]} & /@ DeleteDuplicates[s]}], {24}]; s (* _Peter J. C. Moses_, Mar 21 2013 *)
%Y A055180 Cf. A055168.
%K A055180 nonn
%O A055180 1,1
%A A055180 _Clark Kimberling_, Apr 27 2000