A377004 Number of inequivalent 2*n X 8 binary arrays with row sums 4 and column sums n up to row and column permutations.

1, 1, 4, 19, 194, 3144, 65548, 1272696, 21855504, 328629713, 4362818853, 51658865022, 551021529952, 5342121192394, 47446872310092, 388746259849648, 2956322263908194, 20980847841062062, 139630332607991630, 875184633222730558, 5186438905325403553

Offset: 0

Author

Andrew Howroyd, Oct 12 2024

Keywords

• nonn

Examples

			The a(2) = 4 inequivalent matrices are:
  [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]
  [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]
  [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]
  [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]
		

Crossrefs

Column k=4 of A377007.

Cf. A172555, A377003.