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 A144955 #4 Jun 02 2025 00:37:02 %S A144955 1,2,0,3,1,0,4,4,1,0,5,10,6,1,0,6,20,21,8,1,0,7,35,56,36,10,1,0,8,56, %T A144955 126,120,55,12,1,9,84,252,330,220,78,14,1,10,120,462,792,715,364,105, %U A144955 16,1,11,165,792,1716,2002,1365,560,136,18,1 %N A144955 Binomial transform of a modified version of A026729. %C A144955 Row sums = A055588: (1, 2, 4, 9, 22, 56, 145,...). %F A144955 Triangle A026729 is shifted one place down, with a (1, 1, 0, 0, 0...) in the first column; getting: %F A144955 1; %F A144955 1, 0; %F A144955 0, 1, 0; %F A144955 0, 1, 1, 0; %F A144955 0, 0, 2, 1, 0; %F A144955 0, 0, 1, 3, 1, 0; %F A144955 ... %F A144955 A144955 = A007318 * the modified triangle. %e A144955 First few rows of the triangle = %e A144955 1; %e A144955 2, 0; %e A144955 3, 1, 0; %e A144955 4, 4, 1, 0; %e A144955 5, 10, 6, 1, 0; %e A144955 6, 20, 21, 8, 1, 0; %e A144955 7, 35, 56, 36, 10, 1, 0; %e A144955 8, 56, 126, 120, 55, 12, 1, 0; %e A144955 ... %Y A144955 A026729, Cf. A055588 %K A144955 nonn,tabl %O A144955 0,2 %A A144955 _Gary W. Adamson_, Sep 27 2008