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 A133807 #8 Mar 23 2022 07:39:27 %S A133807 1,2,1,3,4,1,4,9,4,1,5,16,10,6,1,6,25,20,20,6,1,7,36,35,50,21,8,1,8, %T A133807 49,56,105,56,35,8,1,9,64,84,196,126,112,36,10,1,10,81,120,336,252, %U A133807 294,120,54,10,1 %N A133807 A007318 * (A097806 + A133566 - I), where I is the identity matrix. %C A133807 Row sums = A133806: (1, 3, 8, 18, 38, 78, 158, ...). %F A133807 Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal and the rest zeros. I = Identity matrix. %e A133807 First few rows of the triangle: %e A133807 1; %e A133807 2, 1; %e A133807 3, 4, 1; %e A133807 4, 9, 4, 1; %e A133807 5, 16, 10, 6, 1; %e A133807 6, 25, 20, 20, 6, 1; %e A133807 7, 36, 35, 50, 21, 8, 1; %e A133807 ... %Y A133807 Cf. A133566, A007318 , A097806, A133806. %K A133807 nonn,tabl,more %O A133807 1,2 %A A133807 _Gary W. Adamson_, Sep 23 2007