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 A194437 #16 Mar 30 2012 17:34:05 %S A194437 1,1,3,1,3,5,1,3,5,2,9,1,3,5,2,9,3,12,1,3,5,2,9,3,12,2,6,3,20,1,3,5,2, %T A194437 9,3,12,2,6,3,20,3,7,4,25,1,3,5,2,9,3,12,2,6,3,20,3,7,4,25,2,6,3,13,5, %U A194437 4,38,1,3,5,2,9,3,12,2,6,3,20,3,7 %N A194437 Triangle read by rows: T(n,k) = sum of parts in the k-th region of n. %e A194437 Triangle begins: %e A194437 1; %e A194437 1,3; %e A194437 1,3,5; %e A194437 1,3,5,2,9; %e A194437 1,3,5,2,9,3,12; %e A194437 1,3,5,2,9,3,12,2,6,3,20; %e A194437 1,3,5,2,9,3,12,2,6,3,20,3,7,4,25; %e A194437 1,3,5,2,9,3,12,2,6,3,20,3,7,4,25,2,6,3,13,5,4,38; %e A194437 ... %e A194437 Row n has length A000041(n). Row sums give A066186. Right border gives A046746. Records in every row give A046746. Rows converge to A186412. %Y A194437 Cf. A046746, A066186, A135010, A138121, A186114, A186412, A193870, A194436, A194438, A194439, A194446, A194447. %K A194437 nonn,tabf %O A194437 1,3 %A A194437 _Omar E. Pol_, Nov 27 2011