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A221396 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two 3
0, 2, 2, 0, 6, 0, 4, 18, 18, 4, 0, 54, 0, 54, 0, 8, 162, 631, 631, 162, 8, 0, 486, 0, 7678, 0, 486, 0, 16, 1458, 23188, 93398, 93398, 23188, 1458, 16, 0, 4374, 0, 1137850, 0, 1137850, 0, 4374, 0, 32, 13122, 852298, 13857444, 55533104, 55533104, 13857444 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..0.....2......0.........4........0..........8........0..........16..........0

..2.....6.....18........54......162........486.....1458........4374......13122

..0....18......0.......631........0......23188........0......852298..........0

..4....54....631......7678....93398....1137850.13857444...168717375.2053766992

..0...162......0.....93398........0...55533104........0.32910740654

..8...486..23188...1137850.55533104.2701660543

..0..1458......0..13857444........0

.16..4374.852298.168717375

..0.13122......0

.32.39366

..0

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

EXAMPLE

Some solutions for n=3 k=4

..0..0..2..0....0..0..2..2....2..0..2..0....2..0..0..2....2..2..0..2

..2..0..2..2....2..0..0..0....2..0..0..2....0..0..2..2....2..2..0..0

..2..0..0..2....2..2..0..2....2..2..0..0....2..0..0..2....0..0..0..2

CROSSREFS

Column 2 is A008776(n-1)

Sequence in context: A253180 A295214 A221408 * A221337 A157077 A185896

Adjacent sequences:  A221393 A221394 A221395 * A221397 A221398 A221399

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 14 2013

STATUS

approved

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Last modified April 17 05:12 EDT 2021. Contains 343059 sequences. (Running on oeis4.)