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A268073
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T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.
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5
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1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 39, 2191, 7445, 2191, 39, 138, 30295, 381958, 381958, 30295, 138, 499, 421471, 18691624, 70985206, 18691624, 421471, 499, 1830, 5797959, 911680225, 12341773443, 12341773443, 911680225, 5797959, 1830, 6723, 79367143
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OFFSET
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1,2
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COMMENTS
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Table starts
....1........2.............4..............12...............39..............138
....2.......15...........159............2191............30295...........421471
....4......159..........7445..........381958.........18691624........911680225
...12.....2191........381958........70985206......12341773443....2135811945390
...39....30295......18691624.....12341773443....7496016439865.4526538615127374
..138...421471.....911680225...2135811945390.4526538615127374
..499..5797959...43653230106.360625109847257
.1830.79367143.2074179818184
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 6*a(n-1) -3*a(n-2) -30*a(n-3) +28*a(n-4) +36*a(n-5) -36*a(n-6) for n>8
k=2: [order 11] for n>13
k=3: [order 75]
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..1..0....0..1..1..2....0..0..1..2....0..1..1..0....0..0..1..2
..0..1..2..2....0..1..2..3....0..1..0..3....0..2..1..1....0..3..0..1
..3..1..1..2....1..3..2..0....3..1..0..1....2..2..0..1....2..2..1..2
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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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