A289651 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 2, 0, 0, 11, 11, 0, 0, 44, 61, 44, 0, 1, 170, 607, 607, 170, 1, 3, 642, 3160, 8554, 3160, 642, 3, 10, 2421, 31271, 121162, 121162, 31271, 2421, 10, 24, 9142, 183390, 1756800, 2662095, 1756800, 183390, 9142, 24, 60, 34572, 1714758, 25760875

Offset: 1

Author

R. H. Hardin, Jul 09 2017

Keywords

• nonn
• tabl

Comments

Table starts

..0.....0........0..........0.............0................1..................3

..0.....2.......11.........44...........170..............642...............2421

..0....11.......61........607..........3160............31271.............183390

..0....44......607.......8554........121162..........1756800...........25760875

..0...170.....3160.....121162.......2662095.........98170524.........2439241607

..1...642....31271....1756800......98170524.......5675111511.......332113863074

..3..2421...183390...25760875....2439241607.....332113863074.....35072966294346

.10..9142..1714758..382162921...85298181531...19700973655406...4615203834449304

.24.34572.10957160.5717697619.2290353406298.1179502836506537.519140871714574338

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A286209.