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 A133805 #10 Jun 08 2023 09:36:14 %S A133805 1,2,1,4,3,1,7,6,4,1,11,10,11,5,1,16,15,25,15,6,1,22,21,50,35,22,7,1, %T A133805 29,28,91,70,63,28,8,1,37,36,154,126,154,84,37,9,1,46,45,246,210,336, %U A133805 210,129,45,10,1,56,55,375,330,672,462,375,165,56,11,1,67,66,550,495,1254,924,957,495,231,66,12,1 %N A133805 Triangle read by rows: A007318 * A133566 * A133080. %C A133805 Row sums = A133806: (1, 3, 8, 18, 38, 78, 318, ...). %C A133805 Left column = A000124. %F A133805 Binomial transform of (A133566 * A133080) where (A133566 * A133080) = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals and (1,0,1,0,1,...) in the subsubdiagonal. %e A133805 First few rows of the triangle: %e A133805 1; %e A133805 2, 1; %e A133805 4, 3, 1; %e A133805 7, 6, 4, 1; %e A133805 11, 10, 11, 5, 1; %e A133805 16, 15, 25, 15, 6, 1; %e A133805 22, 21, 50, 35, 22, 7, 1; %e A133805 29, 28, 91, 70, 63, 28, 8, 1; %e A133805 ... %Y A133805 Cf. A000124, A133080, A133566, A133804, A133806. %K A133805 nonn,tabl %O A133805 1,2 %A A133805 _Gary W. Adamson_, Sep 23 2007 %E A133805 a(21) = 1 inserted and more terms from _Georg Fischer_, Jun 08 2023