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 A153859 #5 Jun 02 2025 01:17:36 %S A153859 1,1,1,1,2,1,1,3,3,2,1,4,6,8,4,1,5,10,20,20,9,1,6,15,40,60,54,23,1,7, %T A153859 21,70,140,189,161,65,1,8,28,112,280,504,644,520,199,1,9,36,168,504, %U A153859 1134,1932,2340,1791,654,1,10,45,240,840,2268,4830,7800,8955,6540,2296 %N A153859 Triangle read by rows, A007318 * (A007476 * 0 ^(n-k)). %C A153859 Row sums = A007476 starting (1, 2, 4, 9, 23, 65, 199,...). %F A153859 Triangle read by rows A007318 * (A007476 * 0^(n-k)) = binomial transform of an infinite lower triangular matrix with A007476 as the main diagonal: (1, 1, 1, 2, 4, 9, 23, 65, 199,...) and the rest zeros. %e A153859 First few rows of the triangle = %e A153859 1; %e A153859 1, 1; %e A153859 1, 2, 1; %e A153859 1, 3, 3, 2; %e A153859 1, 4, 6, 8, 4; %e A153859 1, 5, 10, 20, 20, 9; %e A153859 1, 6, 15, 40, 60, 54, 23; %e A153859 1, 7, 21, 70, 140, 189, 161, 65; %e A153859 1, 8, 28, 112, 280, 504, 644, 520, 199; %e A153859 1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654; %e A153859 1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296; %e A153859 ... %Y A153859 Cf. A007476 %K A153859 nonn,tabl %O A153859 0,5 %A A153859 _Gary W. Adamson_, Jan 02 2009