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A222456 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order 8
1, 0, 0, 0, 0, 0, 3, 2, 2, 3, 4, 7, 2, 7, 4, 4, 10, 17, 17, 10, 4, 5, 23, 27, 101, 27, 23, 5, 20, 64, 194, 426, 426, 194, 64, 20, 27, 175, 467, 1722, 1847, 1722, 467, 175, 27, 48, 400, 2375, 8483, 16440, 16440, 8483, 2375, 400, 48, 63, 983, 6320, 46788, 84558, 161779, 84558 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...1....0......0........3..........4............4..............5

...0....0......2........7.........10...........23.............64

...0....2......2.......17.........27..........194............467

...3....7.....17......101........426.........1722...........8483

...4...10.....27......426.......1847........16440..........84558

...4...23....194.....1722......16440.......161779........1752892

...5...64....467.....8483......84558......1752892.......17977932

..20..175...2375....46788.....910358.....18608623......398308251

..27..400...6320...246899....4757427....201223272.....4297235804

..48..983..31706..1263032...51324484...2201719251....98149697258

..63.2498..84949..6568737..271866564..24272631638..1083889273467

.175.6409.426134.34802586.2984245628.268705232398.25078137790680

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..0....0..1..1..1

..1..1..1..1....1..1..1..1....0..0..0..0....1..1..1..1....0..0..0..0

..1..1..1..0....0..1..1..1....0..0..0..1....1..1..1..1....0..0..0..0

..1..1..1..1....1..1..1..1....0..1..1..0....1..1..1..1....0..0..0..0

CROSSREFS

Column 1 is A222283

Sequence in context: A129001 A029246 A316995 * A222673 A222666 A324465

Adjacent sequences:  A222453 A222454 A222455 * A222457 A222458 A222459

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 20 2013

STATUS

approved

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Last modified April 22 10:24 EDT 2019. Contains 322330 sequences. (Running on oeis4.)