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A199523
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T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and every element equal to two or fewer horizontal or vertical neighbors
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8
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1, 1, 1, 1, 1, 1, 1, 45, 45, 1, 10, 105, 1260, 105, 10, 45, 6300, 15400, 15400, 6300, 45, 105, 15400, 2513869, 2491383, 2513869, 15400, 105, 105, 1030230, 174524175, 425836476, 425836476, 174524175, 1030230, 105, 1260, 2559433, 5866391058
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OFFSET
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1,8
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COMMENTS
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Table starts
....1.........1...........1..............1...............10...............45
....1.........1..........45............105.............6300............15400
....1........45........1260..........15400..........2513869........174524175
....1.......105.......15400........2491383........425836476......76066541392
...10......6300.....2513869......425836476....1036302685728.1049206835165446
...45.....15400...174524175....76066541392.1049206835165446
..105...1030230..5866391058.14045226977086
..105...2559433.78538951349
.1260.182663916
.6300
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..60
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EXAMPLE
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Some solutions for n=4 k=3
..0..1..0....0..1..2....0..1..2....0..1..2....0..1..2....0..1..1....0..1..2
..2..3..3....0..1..0....1..0..2....0..1..3....3..1..0....2..3..0....3..0..2
..0..1..2....3..3..2....0..1..3....0..2..3....1..2..3....0..2..3....2..3..1
..3..1..2....3..1..2....3..2..3....2..1..3....3..0..2....1..2..3....3..0..1
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CROSSREFS
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Sequence in context: A216407 A137439 A199356 * A119415 A165866 A042011
Adjacent sequences: A199520 A199521 A199522 * A199524 A199525 A199526
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Nov 07 2011
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STATUS
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approved
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