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A265232
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T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal vertical neighbors and new values introduced sequentially from 0.
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7
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1, 1, 1, 1, 2, 1, 1, 4, 7, 1, 1, 8, 56, 43, 1, 1, 16, 495, 2592, 372, 1, 1, 32, 4686, 184740, 222850, 4027, 1, 1, 64, 46456, 14439456, 164933040, 29357385, 51871, 1, 1, 128, 475392, 1196114464, 137409486772, 277778385204, 5460708807, 773186, 1, 1, 256
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OFFSET
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1,5
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COMMENTS
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Table starts
.1........1.............1...............1................1...............1
.1........2.............4...............8...............16..............32
.1........7............56.............495.............4686...........46456
.1.......43..........2592..........184740.........14439456......1196114464
.1......372........222850.......164933040.....137409486772.123531282436770
.1.....4027......29357385....277778385204.3045763404200768
.1....51871....5460708807.785263649477535
.1...773186.1360701035812
.1.13083385
.1
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LINKS
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..1..2....0..0..1..1....0..0..1..2....0..1..0..0....0..0..0..1
..1..0..3..0....2..2..3..0....2..1..3..3....2..3..2..1....2..3..2..3
..2..1..0..2....1..1..0..3....1..2..0..0....3..2..1..3....1..1..3..0
..3..2..3..3....2..3..3..2....3..1..3..2....0..1..3..2....2..3..2..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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