A188842 Number of nX8 binary arrays without the pattern 0 1 diagonally or vertically.

256, 2584, 9841, 25213, 53296, 100947, 177859, 297275, 476905, 740025, 1116765, 1645605, 2375100, 3365856, 4692780, 6447628, 8741876, 11709940, 15512772, 20341860, 26423661, 34024497, 43455945, 55080753, 69319315, 86656739

Offset: 1

Author

R. H. Hardin Apr 12 2011

Keywords

• nonn

Comments

Column 8 of A188843

Examples

			Some solutions for 3X8
..1..1..0..1..1..1..1..1....0..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1
..1..1..0..0..1..1..1..1....0..0..1..0..0..1..0..1....1..1..1..0..0..0..0..0
..1..0..0..0..0..1..0..1....0..0..0..0..0..0..0..0....0..0..1..0..0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = (1/40320)*n^8 + (23/10080)*n^7 + (17/192)*n^6 + (269/144)*n^5 + (43949/1920)*n^4 + (228401/1440)*n^3 + (1054411/2016)*n^2 + (9941/56)*n - 2210 for n>5