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A198155
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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 4,3,0,1,1 for x=0,1,2,3,4
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7
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1, 1, 1, 2, 7, 2, 3, 12, 12, 3, 5, 31, 54, 31, 5, 8, 79, 240, 240, 79, 8, 13, 186, 1170, 2093, 1170, 186, 13, 21, 465, 5330, 17991, 17991, 5330, 465, 21, 34, 1131, 24689, 145266, 260917, 145266, 24689, 1131, 34, 55, 2776, 116890, 1255491, 3964286, 3964286
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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 1's
Table starts
..1....1.......2.........3............5..............8................13
..1....7......12........31...........79............186...............465
..2...12......54.......240.........1170...........5330.............24689
..3...31.....240......2093........17991.........145266...........1255491
..5...79....1170.....17991.......260917........3964286..........61513749
..8..186....5330....145266......3964286......108428600........2969407571
.13..465...24689...1255491.....61513749.....2969407571......147146211014
.21.1131..116890..10755887....932035559....81119721484.....7259079414491
.34.2776..549479..91079908..14154918386..2220541431613...356611993766901
.55.6803.2578328.776489747.215575583089.60728204921422.17542851737213231
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LINKS
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=6 k=4
..1..3..1..0....0..0..0..0....1..0..0..2....1..0..0..2....0..1..3..1
..0..1..0..2....2..0..0..0....3..1..2..0....3..1..2..0....1..4..1..0
..1..1..3..1....1..3..1..0....1..4..1..0....1..4..1..0....3..1..2..0
..3..1..1..0....1..1..4..1....1..1..3..1....0..1..3..1....1..0..0..1
..1..4..1..0....3..1..1..3....3..1..2..0....0..0..0..0....0..0..1..3
..0..1..3..1....1..0..0..1....1..0..0..2....2..0..0..2....2..0..0..1
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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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