A284222 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

1, 2, 2, 3, 6, 4, 6, 13, 19, 8, 10, 44, 70, 62, 16, 19, 143, 499, 467, 212, 32, 33, 495, 3214, 6511, 3224, 751, 64, 62, 1746, 22729, 85887, 91260, 23218, 2719, 128, 112, 6399, 163708, 1214427, 2417194, 1317770, 170155, 10002, 256, 212, 23776, 1209005

Offset: 1

Author

R. H. Hardin, Mar 23 2017

Keywords

• nonn
• tabl

Comments

Table starts

...1.....2.......3..........6............10..............19.................33

...2.....6......13.........44...........143.............495...............1746

...4....19......70........499..........3214...........22729.............163708

...8....62.....467.......6511.........85887.........1214427...........17538010

..16...212....3224......91260.......2417194........68272108.........1970768869

..32...751...23218....1317770......69938626......3945536189.......227677212684

..64..2719..170155...19371893....2058141264....232036495984.....26772321109067

.128.10002.1264605..288303232...61304713234..13815034342734...3187484402643589

.256.37258.9488108.4330336770.1842647045686.830095968128023.383012404461341362

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..198

Crossrefs

Column 1 is A000079(n-1).

Row 1 is A274160(n+1).