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 A014643 #16 May 17 2018 10:24:30 %S A014643 1,1,1,2,1,2,2,1,2,2,3,3,1,2,2,3,3,4,4,4,5,5,5,1,2,2,3,3,4,4,4,5,5,5, %T A014643 6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,10,11,11,11,11,11 %N A014643 Triangular array starting with {1,1}; then i-th term in a row gives number of i's in next row. %C A014643 The row {2} could be safely prepended to this triangle. - _Gus Wiseman_, May 13 2018 %H A014643 Alois P. Heinz, <a href="/A014643/b014643.txt">Rows n = 1..8, flattened</a> %e A014643 Triangle begins: %e A014643 {1,1}, %e A014643 {1,2}, %e A014643 {1,2,2}, %e A014643 {1,2,2,3,3}, %e A014643 ... %p A014643 T:= proc(n) option remember; `if`(n=0, 2, (l-> %p A014643 seq(i$l[i], i=1..nops(l)))([T(n-1)])) %p A014643 end: %p A014643 seq(T(n), n=1..7); # _Alois P. Heinz_, May 17 2018 %t A014643 NestList[Join@@Table[Table[i,{#[[i]]}],{i,Length[#]}]&,{2},8] (* _Gus Wiseman_, May 13 2018 *) %Y A014643 Rows converge to A001462. %Y A014643 Cf. A011784, A012257, A014643, A014644, A112798, A181819, A182850-A182858, A296150, A304455. %K A014643 tabf,nonn %O A014643 1,4 %A A014643 _N. J. A. Sloane_ %E A014643 More terms from _Patrick De Geest_