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A217273
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T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor
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7
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0, 1, 1, 2, 9, 2, 4, 64, 64, 4, 8, 441, 1472, 441, 8, 16, 3025, 33856, 33856, 3025, 16, 32, 20736, 772800, 2572816, 772800, 20736, 32, 64, 142129, 17640000, 194881600, 194881600, 17640000, 142129, 64, 128, 974169, 402494400, 14755689729
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OFFSET
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1,4
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COMMENTS
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Table starts
....0..........1...............2..................4.....................8
....1..........9..............64................441..................3025
....2.........64............1472..............33856................772800
....4........441...........33856............2572816.............194881600
....8.......3025..........772800..........194881600...........48909857500
...16......20736........17640000........14755689729........12276607432401
...32.....142129.......402494400......1117092569476......3080781263731464
...64.....974169......9183772224.....84567501131481....773143936621737444
..128....6677056....209543184576...6401965110822961.194021789111058265560
..256...45765225...4781079618624.484642857129680209
..512..313679521.109088244863424
.1024.2149991424
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..97
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..0..2....0..2..2..1....0..2..2..1....1..0..0..1....1..0..1..1
..1..1..2..2....1..0..1..1....1..2..1..0....1..1..1..1....3..1..2..0
..2..0..1..0....1..1..2..0....0..1..2..0....0..2..3..1....1..0..2..0
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CROSSREFS
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Column 2 is A049684
Sequence in context: A342209 A248695 A221139 * A188981 A277754 A112537
Adjacent sequences: A217270 A217271 A217272 * A217274 A217275 A217276
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Sep 29 2012
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STATUS
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approved
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