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A331707 Number of nonnegative integer matrices with 3 distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order. 2

%I

%S 0,1,46,1900,73028,2448599,75497242,2339274204,69674762468,

%T 1979828352817,54476556180342,1451352388018928,37417987990316376,

%U 936855054326483475,22833066202591181758,542259452432969505704,12569324678536063256324,284784345516356806067001,6313245421002223574950650

%N Number of nonnegative integer matrices with 3 distinct columns and any number of distinct nonzero rows with column sums n and columns in decreasing lexicographic order.

%C The condition that the columns be in decreasing order is equivalent to considering nonequivalent matrices with distinct columns up to permutation of columns.

%e The a(1) = 1 matrix is:

%e [1 0 0]

%e [0 1 0]

%e [0 0 1]

%Y Column k=3 of A331570.

%Y Cf. A331706.

%K nonn

%O 0,3

%A _Andrew Howroyd_, Jan 25 2020

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Last modified December 2 23:30 EST 2021. Contains 349445 sequences. (Running on oeis4.)