cp's OEIS Frontend

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.

A330158 Number of nonnegative integer matrices with total sum n, distinct columns with equal sums and any number of nonzero rows in nonincreasing lexicographic order.

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%I A330158 #70 Jan 13 2020 15:20:27
%S A330158 1,3,4,13,8,83,16,530,630,5620,57,119889,102,1901749,1498322,50091143,
%T A330158 298,1649302673,491,54919254373,16723808377,2269075359300,1256,
%U A330158 110133775311277,26852941986,5707320920415984,622570195638208,339574840900645411,4566,22572315004012650868
%N A330158 Number of nonnegative integer matrices with total sum n, distinct columns with equal sums and any number of nonzero rows in nonincreasing lexicographic order.
%C A330158 The condition that the rows be in nonincreasing order is equivalent to considering nonequivalent matrices up to permutation of rows.
%F A330158 a(n) = Sum_{d|n} A331161(n/d, d).
%e A330158 The a(4) = 13 matrices are:
%e A330158   [1 0 0 0]  [1 0]  [1]  [1 1]  [2 0]  [1 0]  [2]
%e A330158   [0 1 0 0]  [1 0]  [1]  [1 0]  [0 1]  [1 0]  [1]
%e A330158   [0 0 1 0]  [0 1]  [1]  [0 1]  [0 1]  [0 2]  [1]
%e A330158   [0 0 0 1]  [0 1]  [1]
%e A330158 .
%e A330158   [2 1]  [2 0]  [1 2]  [3]  [2]  [4]
%e A330158   [0 1]  [0 2]  [1 0]  [1]  [2]
%Y A330158 Cf. A331161.
%K A330158 nonn
%O A330158 1,2
%A A330158 _Andrew Howroyd_, Jan 11 2020