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 A134674 #11 Mar 26 2022 10:21:47 %S A134674 1,2,2,3,3,3,4,3,4,4,5,5,5,5,5,5,3,4,6,6,6,7,7,7,7,7,7,7,7,6,5,5,8,8, %T A134674 8,8,8,7,7,9,9,9,9,9,9,7,5,6,6,6,10,10,10,10,10 %N A134674 A134673 * A000012. %C A134674 Left column = A073757: (1, 2, 3, 4, 5, 5, 7, 8, 8, 7, ...). %C A134674 Row sums = A134675: (1, 4, 9, 15, 25, 30, 49, 55, 80, ...). %C A134674 n-th row (n>1) has n terms of "n", iff n is prime. %F A134674 A134673 * A000012 as infinite lower triangular matrices. Triangle, partial sums of A134673 starting from the right of each row. %F A134674 A134674(n,k) = Sum_{j=n-k+1..n} A134673(n,j). %e A134674 First few rows of the triangle: %e A134674 1; %e A134674 2, 2; %e A134674 3, 3, 3; %e A134674 4, 3, 4, 4; %e A134674 5, 5, 5, 5, 5; %e A134674 5, 3, 4, 6, 6, 6; %e A134674 7, 7, 7, 7, 7, 7, 7; %e A134674 7, 6, 5, 5, 8, 8, 8, 8; %e A134674 8, 7, 7, 9, 9, 9, 9, 9, 9; %e A134674 7, 5, 6, 6, 6, 10, 10, 10, 10, 10; %e A134674 ... %Y A134674 Cf. A134673, A134675, A073757. %K A134674 nonn,tabl,more %O A134674 1,2 %A A134674 _Gary W. Adamson_, Nov 05 2007