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 A127570 #9 Feb 18 2022 22:35:48 %S A127570 1,1,3,1,0,4,1,3,0,7,1,0,0,0,6,1,3,4,0,0,12,1,0,0,0,0,0,8,1,3,0,7,0,0, %T A127570 0,15,1,0,4,0,0,0,0,0,13,1,3,0,0,6,0,0,0,0,18,1,0,0,0,0,0,0,0,0,0,12, %U A127570 1,3,4,7,0,12,0,0,0,0,0,28,1 %N A127570 Triangle T(n,k) = sigma(k) if k|n, otherwise T(n,k)=0; 1 <= k <= n. %F A127570 T(n,k) = Sum_{j=k..n} A051731(n,j)*A130208(j,k) = A051731(n,k)*A000203(k). %e A127570 First few rows of the triangle are: %e A127570 1; %e A127570 1, 3; %e A127570 1, 0, 4; %e A127570 1, 3, 0, 7; %e A127570 1, 0, 0, 0, 6; %e A127570 1, 3, 4, 0, 0, 12; %e A127570 ... %Y A127570 Cf. A000203 (sigma, diagonal n=k), A007429 (row sums), A051731. %K A127570 nonn,tabl,easy %O A127570 1,3 %A A127570 _Gary W. Adamson_, Jan 19 2007