A222456 T(n,k) = Number of n X k 0..1 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order.

1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 7, 2, 7, 4, 4, 10, 17, 17, 10, 4, 5, 23, 27, 101, 27, 23, 5, 20, 64, 194, 426, 426, 194, 64, 20, 27, 175, 467, 1722, 1847, 1722, 467, 175, 27, 48, 400, 2375, 8483, 16440, 16440, 8483, 2375, 400, 48, 63, 983, 6320, 46788, 84558, 161779, 84558

Offset: 1

Author

R. H. Hardin, Feb 20 2013

Keywords

• nonn
• tabl

Comments

Table starts

...1....0......0........3..........4............4..............5

...0....0......2........7.........10...........23.............64

...0....2......2.......17.........27..........194............467

...3....7.....17......101........426.........1722...........8483

...4...10.....27......426.......1847........16440..........84558

...4...23....194.....1722......16440.......161779........1752892

...5...64....467.....8483......84558......1752892.......17977932

..20..175...2375....46788.....910358.....18608623......398308251

..27..400...6320...246899....4757427....201223272.....4297235804

..48..983..31706..1263032...51324484...2201719251....98149697258

..63.2498..84949..6568737..271866564..24272631638..1083889273467

.175.6409.426134.34802586.2984245628.268705232398.25078137790680

Examples

			Some solutions for n=4, k=4
..0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..0....0..1..1..1
..1..1..1..1....1..1..1..1....0..0..0..0....1..1..1..1....0..0..0..0
..1..1..1..0....0..1..1..1....0..0..0..1....1..1..1..1....0..0..0..0
..1..1..1..1....1..1..1..1....0..1..1..0....1..1..1..1....0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..199

Crossrefs

Column 1 is A222283.