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 A110730 #28 Jun 13 2021 22:16:48 %S A110730 1,1,1,2,1,1,1,2,2,3,1,1,1,1,2,2,2,3,3,4,1,1,1,1,1,2,2,2,2,3,3,3,4,4, %T A110730 5,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,5,5,6,1,1,1,1,1,1,1,2,2,2,2,2, %U A110730 2,3,3,3,3,3,4,4,4,4,5,5,5,6,6,7,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3 %N A110730 Irregular triangle read by rows in which row n lists n 1's followed by (n-1) 2's followed by (n-3) 3's ... followed by 1 n. %C A110730 From _Omar E. Pol_, May 08 2021: (Start) %C A110730 Row n has length A000217(n). %C A110730 Row sums give A000292, n >= 1. %C A110730 Row n lists the terms of the n-th row A333516 in nondecreasing order. %C A110730 (End) %e A110730 From _Omar E. Pol_, May 08 2021: (Start) %e A110730 Triangle begins: %e A110730 1; %e A110730 1, 1, 2; %e A110730 1, 1, 1, 2, 2, 3; %e A110730 1, 1, 1, 1, 2, 2, 2, 3, 3, 4; %e A110730 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5; %e A110730 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6; %e A110730 ... %e A110730 (End) %t A110730 Flatten@Array[Table[Table[k,#-k+1],{k,#}]&,10] (* _Giorgos Kalogeropoulos_, Jun 08 2021 *) %Y A110730 Cf. A004736. %Y A110730 Cf. A000217, A000292, A333516, A345116 (mirror). %K A110730 base,easy,tabf,nonn %O A110730 1,4 %A A110730 _Amarnath Murthy_, Aug 09 2005 %E A110730 Name clarified by _Omar E. Pol_, Jun 08 2021