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Number of inequivalent 2*n X 8 binary arrays with row sums 4 and column sums n up to row and column permutations.
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%I #10 Oct 13 2024 07:09:50

%S 1,1,4,19,194,3144,65548,1272696,21855504,328629713,4362818853,

%T 51658865022,551021529952,5342121192394,47446872310092,

%U 388746259849648,2956322263908194,20980847841062062,139630332607991630,875184633222730558,5186438905325403553

%N Number of inequivalent 2*n X 8 binary arrays with row sums 4 and column sums n up to row and column permutations.

%e The a(2) = 4 inequivalent matrices are:

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

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

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

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

%Y Column k=4 of A377007.

%Y Cf. A172555, A377003.

%K nonn

%O 0,3

%A _Andrew Howroyd_, Oct 12 2024