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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.

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.

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%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