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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.
12
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 25 2017
STATUS
approved