

A221408


T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two


5



0, 2, 2, 0, 6, 0, 4, 16, 16, 4, 0, 44, 0, 44, 0, 8, 120, 436, 436, 120, 8, 0, 328, 0, 4518, 0, 328, 0, 16, 896, 12668, 47156, 47156, 12668, 896, 16, 0, 2448, 0, 492102, 0, 492102, 0, 2448, 0, 32, 6688, 368268, 5133044, 18852560, 18852560, 5133044, 368268, 6688, 32
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OFFSET

1,2


COMMENTS

Table starts
..0.....2........0.........4..........0...........8...........0............16
..2.....6.......16........44........120.........328.........896..........2448
..0....16........0.......436..........0.......12668...........0........368268
..4....44......436......4518......47156......492102.....5133044......53529806
..0...120........0.....47156..........0....18852560...........0....7505597654
..8...328....12668....492102...18852560...722442370.27665242848.1058237377670
..0...896........0...5133044..........0.27665242848
.16..2448...368268..53529806.7505597654
..0..6688........0.558164472
.32.18272.10705360
..0.49920
.64


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84


EXAMPLE

Some solutions for n=3 k=4
..2..2..0..2....2..0..2..0....2..0..2..2....2..0..2..0....0..2..2..0
..0..0..0..0....0..2..2..0....0..0..2..0....2..2..2..0....2..0..0..0
..2..2..2..0....2..0..0..2....0..2..2..0....0..0..2..0....2..2..0..2


CROSSREFS

Column 1 is A077957
Column 2 is A002605(n+1)
Sequence in context: A129936 A253180 A295214 * A221396 A221337 A157077
Adjacent sequences: A221405 A221406 A221407 * A221409 A221410 A221411


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 15 2013


STATUS

approved



