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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A000079(n-1).

Row 1 is A274160(n+1).

Sequence in context: A254947 A185810 A015050 * A207623 A116447 A137757

Adjacent sequences: A284219 A284220 A284221 * A284223 A284224 A284225

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 23 2017

Status

approved