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 A194436 #16 Mar 30 2012 17:34:05 %S A194436 1,1,2,1,2,3,1,2,3,1,5,1,2,3,1,5,1,7,1,2,3,1,5,1,7,1,2,1,11,1,2,3,1,5, %T A194436 1,7,1,2,1,11,1,2,1,15,1,2,3,1,5,1,7,1,2,1,11,1,2,1,15,1,2,1,4,1,1,22, %U A194436 1,2,3,1,5,1,7,1,2,1,11,1,2,1,15 %N A194436 Triangle read by rows: T(n,k) = number of parts in the k-th region of n. %e A194436 Triangle begins: %e A194436 1; %e A194436 1,2; %e A194436 1,2,3; %e A194436 1,2,3,1,5; %e A194436 1,2,3,1,5,1,7; %e A194436 1,2,3,1,5,1,7,1,2,1,11; %e A194436 1,2,3,1,5,1,7,1,2,1,11,1,2,1,15; %e A194436 1,2,3,1,5,1,7,1,2,1,11,1,2,1,15,1,2,1,4,1,1,22; %e A194436 ... %e A194436 Row n has length A000041(n). Row sums give A006128, n >= 1. Right border gives A000041, n >= 1. Records in every row give A000041, n >= 1. Rows converge to A194446. %Y A194436 Cf. A000041, A006128, A135010, A138121, A186114, A186412, A193870, A194437, A194438, A194439, A194446, A194447. %K A194436 nonn,tabf %O A194436 1,3 %A A194436 _Omar E. Pol_, Nov 27 2011