A284771 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.

0, 0, 0, 1, 4, 1, 2, 14, 14, 2, 6, 52, 119, 52, 6, 12, 206, 720, 720, 206, 12, 28, 772, 5637, 10120, 5637, 772, 28, 56, 2896, 38792, 145822, 145822, 38792, 2896, 56, 119, 10996, 298003, 2134812, 4219759, 2134812, 298003, 10996, 119, 236, 41862, 2180148

Offset: 1

Author

R. H. Hardin, Apr 02 2017

Keywords

• nonn
• tabl

Comments

Table starts

..0.....0.......1.........2............6.............12...............28

..0.....4......14........52..........206............772.............2896

..1....14.....119.......720.........5637..........38792...........298003

..2....52.....720.....10120.......145822........2134812.........31677488

..6...206....5637....145822......4219759......121021322.......3595841703

.12...772...38792...2134812....121021322.....7032604532.....415218866820

.28..2896..298003..31677488...3595841703...415218866820...48994677634459

.56.10996.2180148.474539092.107047691558.24791001439744.5840008221148574

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..143

Crossrefs

Column 1 is A284449.