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A215904
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T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order
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7
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1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 15, 5, 5, 5, 15, 42, 42, 15, 5, 15, 52, 726, 602, 726, 52, 15, 15, 203, 2906, 12840, 12840, 2906, 203, 15, 52, 877, 84550, 373780, 2387217, 373780, 84550, 877, 52, 52, 4140, 433252, 14050312, 87852626, 87852626, 14050312, 433252
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OFFSET
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1,4
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COMMENTS
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Table starts
...1......1...........2...............2..................5....................5
...1......1...........2...............5.................15...................52
...2......2..........15..............42................726.................2906
...2......5..........42.............602..............12840...............373780
...5.....15.........726...........12840............2387217.............87852626
...5.....52........2906..........373780...........87852626..........33093356640
..15....203.......84550........14050312........37060769357.......18383354944364
..15....877......433252.......656404264......2227156082842....14216420563705724
..52...4140....18378580.....37060650272...1701536105684377.14670987605491079080
..52..21147...113503692...2475181138384.148049849095504726
.203.115975..6485270720.192262536609952
.203.678570.46538017584
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..0..x..1..x....0..x..1..x....0..x..0..x....0..x..0..x....0..x..1..x
..x..2..x..2....x..2..x..2....x..1..x..2....x..1..x..2....x..2..x..2
..1..x..0..x....3..x..3..x....3..x..3..x....2..x..3..x....0..x..1..x
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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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