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 A133913 #10 Mar 26 2022 13:42:18 %S A133913 1,1,2,1,3,1,1,4,4,2,1,5,8,6,3,1,6,13,14,9,1,1,7,19,27,23,10,2,1,8,26, %T A133913 46,50,33,12,1,1,9,34,72,96,83,45,13,2,1,10,43,106,168,179,128,58,15, %U A133913 3,1,11,53,149,274,347,307,186,73,18,1,1,12,64,202,423,621,654,493,259,91 %N A133913 Array read by ascending antidiagonals generated from partial sums of A007001. %C A133913 Given A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...) as first row of an array, n-th row = partial sum sequence of (n-1)-th row. %C A133913 Row sums = A133914: (1, 3, 5, 11, 23, 44, 89, 177, 355, ...). %C A133913 Right border = A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...). %e A133913 First few rows of the array: %e A133913 1, 2, 1, 2, 3, 1, 2, ... %e A133913 1, 3, 4, 6, 9, 10, 12, ... %e A133913 1, 4, 8, 14, 23, 33, 45, ... %e A133913 1, 5, 13, 27, 50, 83, 128, ... %e A133913 1, 6, 19, 46, 96, 179, 307, ... %e A133913 ... %e A133913 First few rows of the triangle: %e A133913 1; %e A133913 1, 2; %e A133913 1, 3, 1; %e A133913 1, 4, 4, 2; %e A133913 1, 5, 8, 6, 3; %e A133913 1, 6, 13, 14, 9, 1; %e A133913 1, 7, 19, 27, 23, 10, 2; %e A133913 1, 8, 26, 46, 50, 33, 12, 1; %e A133913 1, 9, 34, 72, 96, 83, 45, 13, 2; %e A133913 1, 10, 43, 106, 168, 179, 128, 58, 15, 3; %e A133913 ... %Y A133913 Cf. A007001, A133912, A133914. %K A133913 nonn,tabl %O A133913 1,3 %A A133913 _Gary W. Adamson_, Sep 28 2007 %E A133913 Edited by _Jon E. Schoenfield_, Mar 26 2022