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 A153198 #5 Jun 02 2025 01:16:11 %S A153198 1,0,1,0,0,2,0,0,0,5,0,0,0,0,14,0,0,0,0,0,43,0,0,0,0,0,0,143,0,0,0,0, %T A153198 0,0,0,509,0,0,0,0,0,0,0,0,1922 %N A153198 Triangle read by rows, T(n,k) = A006789(k) if (n=k) otherwise zero. = (A006789 * 0^(n-k)). %C A153198 Binomial transform of A153198 = triangle A153199 with row sums = A153197: (1, 2, 5, 15, 51, 189, 748,...). %F A153198 Triangle read by rows, T(n,k) = (A006789 * 0^(n-k)). Infinite lower triangular matrix with A006789: (1, 1, 2, 5, 14, 43, 143,...) as the main diagonal and the rest zeros. %e A153198 First few rows of the triangle = %e A153198 1; %e A153198 0, 1; %e A153198 0, 0, 2; %e A153198 0, 0, 0, 5; %e A153198 0, 0, 0, 0, 14; %e A153198 0, 0, 0, 0, 0, 43; %e A153198 0, 0, 0, 0, 0, 0, 143; %e A153198 0, 0, 0, 0, 0, 0, 0, 509; %e A153198 ... %Y A153198 Cf. A006789, A153197, A153198 %K A153198 nonn,tabl %O A153198 0,6 %A A153198 _Gary W. Adamson_, Dec 20 2008