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A197235
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T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,0,1,2 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 7, 2, 3, 12, 12, 3, 5, 31, 55, 31, 5, 8, 79, 242, 242, 79, 8, 13, 186, 1178, 2117, 1178, 186, 13, 21, 465, 5355, 17759, 17759, 5355, 465, 21, 34, 1131, 24723, 141210, 249929, 141210, 24723, 1131, 34, 55, 2776, 116440, 1207249, 3710070, 3710070
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OFFSET
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1,4
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COMMENTS
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Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's
Table starts
..1....1.......2.........3............5..............8................13
..1....7......12........31...........79............186...............465
..2...12......55.......242.........1178...........5355.............24723
..3...31.....242......2117........17759.........141210...........1207249
..5...79....1178.....17759.......249929........3710070..........56349129
..8..186....5355....141210......3710070.......98514881........2633810897
.13..465...24723...1207249.....56349129.....2633810897......126615582841
.21.1131..116440..10193669....835898389....70009757794.....6025045947229
.34.2776..545287..85161702..12424253226..1862777323325...285872930194581
.55.6803.2548432.716691651.185170942121.49566883751088.13601246931224843
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LINKS
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EXAMPLE
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Some solutions for n=6 k=4
..0..1..3..1....0..1..3..1....0..2..0..0....0..0..2..0....0..0..2..0
..0..2..1..0....0..1..1..0....0..2..0..1....0..0..1..0....2..1..3..1
..2..0..2..0....2..3..1..0....0..2..1..3....0..1..3..2....0..0..1..0
..1..1..3..1....0..1..1..0....1..0..2..1....2..0..1..0....0..0..0..2
..3..1..1..0....0..2..3..1....3..1..0..0....1..3..1..0....2..2..0..2
..1..0..0..2....0..0..1..0....1..0..0..2....0..1..0..0....0..2..0..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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