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 A331318 #6 Jan 14 2020 15:28:10 %S A331318 1,2,3,7,4,47,6,317,326,3730,13,78625,19,1372944,824798,36641157,39, %T A331318 1211620030,55,41615035330,9881046310,1743624029061,105, %U A331318 85034153219895,10679934643,4476101995508420,385900622506127,268621480352669227,257,17969848317035340096 %N A331318 Number of nonnegative integer matrices with total sum n, distinct columns with equal sums and any number of distinct nonzero rows in decreasing lexicographic order. %C A331318 The condition that the rows be in decreasing order is equivalent to considering nonequivalent matrices with distinct rows up to permutation of rows. %F A331318 a(n) = Sum_{d|n} A331160(n/d, d). %F A331318 a(p) = A000009(n) + 1 for prime p. %e A331318 The a(4) = 7 matrices are: %e A331318 [1 0 0 0] [1 1] [2 1] [2 0] [1 2] [3] [4] %e A331318 [0 1 0 0] [1 0] [0 1] [0 2] [1 0] [1] %e A331318 [0 0 1 0] [0 1] %e A331318 [0 0 0 1] %Y A331318 Cf. A000009, A330158, A331160. %K A331318 nonn %O A331318 1,2 %A A331318 _Andrew Howroyd_, Jan 13 2020