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 A228823 #15 Oct 01 2013 13:33:00 %S A228823 1,2,1,5,2,1,9,5,2,1,17,9,5,2,1,27,17,9,5,2,1,46,27,17,9,5,2,1,69,46, %T A228823 27,17,9,5,2,1,108,69,46,27,17,9,5,2,1,158,108,69,46,27,17,9,5,2,1, %U A228823 234,158,108,69,46,27,17,9,5,2,1,331,234,158,108,69 %N A228823 Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n. %C A228823 Row n lists the first n elements of A093694 in decreasing order. %F A228823 T(n,k) = A000041(n-k) + A006128(n-k) = A093694(n-k). %e A228823 Triangle begins: %e A228823 1; %e A228823 2, 1; %e A228823 5, 2, 1; %e A228823 9, 5, 2, 1; %e A228823 17, 9, 5, 2, 1; %e A228823 27, 17, 9, 5, 2, 1; %e A228823 46, 27, 17, 9, 5, 2, 1; %e A228823 69, 46, 27, 17, 9, 5, 2, 1; %e A228823 108, 69, 46, 27, 17, 9, 5, 2, 1; %e A228823 158, 108, 69, 46, 27, 17, 9, 5, 2, 1; %e A228823 234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1; %e A228823 331, 234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1; %Y A228823 Cf. A000041, A006128, A027293, A093694, A182701. %K A228823 nonn,tabl %O A228823 1,2 %A A228823 _Omar E. Pol_, Sep 25 2013