%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