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A285750 T(n,k)=Number of nXk 0..1 arrays with the number of 1s horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0s 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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)