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

1,5

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

Links

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

Example

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

Crossrefs

Column 1 is A284449.

Sequence in context: A365455 A030441 A298570 * A283042 A297823 A297993

Adjacent sequences: A284768 A284769 A284770 * A284772 A284773 A284774

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 02 2017

Status

approved