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 A144963 #4 Feb 08 2022 23:29:31 %S A144963 1,1,1,1,1,2,2,1,2,4,3,2,2,4,9,8,3,4,4,9,20,16,8,6,8,9,20,48,41,16,16, %T A144963 12,18,20,48,115,98,41,32,32,27,40,115,286,250,98,82,64,72,60,96,115, %U A144963 286,719 %N A144963 Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115, ...). %C A144963 Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115, ...). %C A144963 Right border = (1, 1, 2, 4, 9, 20, 48, ...). %C A144963 Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41, ...). %C A144963 Sum of n-th row terms = rightmost term of next row. %F A144963 Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, ...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1; ...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41, ...). %e A144963 First few rows of the triangle: %e A144963 1; %e A144963 1, 1; %e A144963 1, 1, 2; %e A144963 2, 1, 2, 4; %e A144963 3, 2, 2, 4, 9; %e A144963 8, 3, 4, 4, 9, 20; %e A144963 16, 8, 6, 8, 9, 20, 48; %e A144963 41, 16, 16, 12, 18, 20, 48, 115; %e A144963 98, 41, 32, 32, 27, 40, 48, 115, 286; %e A144963 ... %e A144963 Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4). %K A144963 eigen,nonn,tabl %O A144963 1,6 %A A144963 _Gary W. Adamson_, Sep 27 2008