A188838 Number of n X 4 binary arrays without the pattern 0 1 diagonally or vertically.

16, 55, 121, 221, 364, 560, 820, 1156, 1581, 2109, 2755, 3535, 4466, 5566, 6854, 8350, 10075, 12051, 14301, 16849, 19720, 22940, 26536, 30536, 34969, 39865, 45255, 51171, 57646, 64714, 72410, 80770, 89831, 99631, 110209, 121605, 133860, 147016, 161116

Offset: 1

Author

R. H. Hardin, Apr 12 2011

Keywords

• nonn

Comments

Column 4 of A188843.

Examples

			Some solutions for 3 X 4:
..1..1..1..1....0..1..0..1....1..1..1..0....1..1..0..0....1..1..0..0
..0..1..1..1....0..0..0..0....1..1..1..0....1..1..0..0....0..0..0..0
..0..0..1..1....0..0..0..0....1..1..1..0....1..1..0..0....0..0..0..0
		

Links

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

Crossrefs

Cf. A188843.

Formula

Empirical: a(n) = (1/24)*n^4 + (11/12)*n^3 + (155/24)*n^2 + (163/12)*n - 6 for n>1.

Empirical g.f.: x*(16 - 25*x + 6*x^2 + 6*x^3 - x^4 - x^5) / (1 - x)^5. - Colin Barker, Apr 30 2018