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

1,5

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

Links

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

Example

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

Crossrefs

Column 1 is A286209.

Sequence in context: A278099 A000171 A054922 * A342588 A302751 A350909

Adjacent sequences: A289648 A289649 A289650 * A289652 A289653 A289654

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 09 2017

Status

approved