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.

A331706 Number of nonnegative integer matrices with 2 distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order.

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%I A331706 #5 Jan 25 2020 20:55:05
%S A331706 0,1,6,42,268,1239,7278,40828,201084,1044693,5171998,24532674,
%T A331706 116470596,546141979,2505755010,11318525016,50046272884,219637249269,
%U A331706 944072863998,4029243437158,16977344149608,70370874102975,289702060529770,1177283903977008,4740700176809748
%N A331706 Number of nonnegative integer matrices with 2 distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order.
%C A331706 The condition that the columns be in decreasing order is equivalent to considering nonequivalent matrices with distinct columns up to permutation of columns.
%F A331706 a(n) = (A331646(n) - A032020(n)) / 2.
%e A331706 The a(2) = 6 matrices are:
%e A331706    [1 1]  [1 0]  [1 0]  [2 1]  [2 0]  [1 0]
%e A331706    [1 0]  [1 1]  [0 1]  [0 1]  [0 2]  [1 2]
%e A331706    [0 1]  [0 1]  [1 1]
%Y A331706 Column k=2 of A331570.
%Y A331706 Cf. A032020, A331646, A331707.
%K A331706 nonn
%O A331706 0,3
%A A331706 _Andrew Howroyd_, Jan 25 2020