A188840 Number of n X 6 binary arrays without the pattern 0 1 diagonally or vertically.

64, 377, 1093, 2380, 4488, 7752, 12597, 19551, 29260, 42504, 60214, 83490, 113620, 152100, 200655, 261261, 336168, 427924, 539400, 673816, 834768, 1026256, 1252713, 1519035, 1830612, 2193360, 2613754, 3098862, 3656380, 4294668, 5022787, 5850537

Offset: 1

Author

R. H. Hardin, Apr 12 2011

Keywords

• nonn

Comments

Column 6 of A188843.

Examples

			Some solutions for 3 X 6:
..1..1..1..1..1..1....1..1..1..1..1..1....0..0..0..1..1..0....1..1..1..1..1..1
..1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..0..1..0....1..1..1..1..0..0
..0..0..1..1..0..1....0..0..0..1..1..0....0..0..0..0..0..0....1..1..0..1..0..0
		

Links

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

Crossrefs

Cf. A188843.

Formula

Empirical: a(n) = (1/720)*n^6 + (17/240)*n^5 + (203/144)*n^4 + (647/48)*n^3 + (2659/45)*n^2 + (1379/20)*n - 143 for n>3.

Empirical g.f.: x*(64 - 71*x - 202*x^2 + 406*x^3 - 174*x^4 - 88*x^5 + 67*x^6 + 6*x^7 - 6*x^8 - x^9) / (1 - x)^7. - Colin Barker, Apr 30 2018