A285750 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

0, 0, 0, 1, 4, 0, 2, 8, 14, 0, 6, 44, 105, 52, 0, 12, 150, 630, 550, 206, 0, 28, 540, 4850, 8544, 5105, 772, 0, 56, 2042, 31276, 119506, 125088, 30918, 2896, 0, 119, 7760, 250592, 1729212, 3640966, 1835412, 265920, 10996, 0, 236, 29654, 1727836

Offset

1,5

Comments

Table starts

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

.0.....4........8.........44...........150..............540...............2042

.0....14......105........630..........4850............31276.............250592

.0....52......550.......8544........119506..........1729212...........25450414

.0...206.....5105.....125088.......3640966.........99685406.........3020617824

.0...772....30918....1835412.....101515318.......5826888288.......341001631140

.0..2896...265920...27339964....3077883556.....345505561776.....40895629554933

.0.10996..1773432..410644956...90409954434...20683003285236...4828422171183992

.0.41862.14632372.6209001966.2751592992660.1247496214559062.584834466962677402

Links

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

Example

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

Crossrefs

Column 2 is A284765.

Row 1 is A284449.

Sequence in context: A271823 A011352 A275983 * A282279 A208333 A279413

Adjacent sequences: A285747 A285748 A285749 * A285751 A285752 A285753

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 25 2017

Status

approved