A377062 - OEIS

%I #5 Oct 14 2024 20:30:00

%S 1,1,3,9,43,147,661,2649,10738,40427,146206,498705,1625621,5049556,

%T 15044485,43044068,118731621,316347549,816409799,2044571309,

%U 4979112445,11810405775,27331117859,61792085482,136670650003,296071435108,628900592847,1311195696010,2685731232674,5409289235300,10721363532282

%N Number of inequivalent n X 4 nonnegative integer arrays with row sums 4 and column sums n up to permutations of rows and columns.

%e The a(2) = 3 matrices are:

%e    [2 2 0 0]   [2 1 1 0]   [1 1 1 1]

%e    [0 0 2 2]   [0 1 1 2]   [1 1 1 1]

%Y Column k=4 of A377060.

%Y Cf. A172816, A377061.

%K nonn

%O 0,3

%A _Andrew Howroyd_, Oct 14 2024