A381554 Number of 2*n X 8 binary arrays with row sums 4 and column sums n, avoiding the patterns 010 and 101 in any row and column.

1, 18, 324, 2776, 34586, 575270, 10061200, 194929482, 4115573632, 91947761368, 2167131637540, 53550929019486, 1376887129235964, 36670419524921146, 1007581514656491404, 28454294028011307236, 823234343053953729538

Offset: 0

Author

Christoph Koutschan, Feb 27 2025

Keywords

• nonn

Examples

			A few solutions for n = 3 are:
  0 0 0 0 1 1 1 1   0 0 0 1 1 1 1 0   0 1 1 0 0 1 1 0   1 0 0 1 1 1 0 0
  0 0 0 0 1 1 1 1   0 0 0 1 1 1 1 0   0 1 1 1 0 0 0 1   1 1 0 0 1 1 0 0
  0 0 0 0 1 1 1 1   1 0 0 1 1 0 0 1   0 1 1 1 0 0 0 1   1 1 0 0 0 1 1 0
  1 1 1 1 0 0 0 0   1 1 1 0 0 0 0 1   1 0 0 1 1 0 0 1   0 1 1 0 0 0 1 1
  1 1 1 1 0 0 0 0   1 1 1 0 0 0 0 1   1 0 0 0 1 1 1 0   0 0 1 1 0 0 1 1
  1 1 1 1 0 0 0 0   0 1 1 0 0 1 1 0   1 0 0 0 1 1 1 0   0 0 1 1 1 0 0 1
		

Crossrefs

Cf. A381551, A381553.