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A237412
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T(n,k)=Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
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9
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81, 322, 322, 1278, 1632, 1278, 5228, 8236, 8236, 5228, 21456, 44186, 53167, 44186, 21456, 87164, 238640, 373804, 373804, 238640, 87164, 354008, 1260486, 2671962, 3604930, 2671962, 1260486, 354008, 1441060, 6627450, 18401364, 35476776
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OFFSET
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1,1
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COMMENTS
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Table starts
.......81.......322........1278..........5228...........21456............87164
......322......1632........8236.........44186..........238640..........1260486
.....1278......8236.......53167........373804.........2671962.........18401364
.....5228.....44186......373804.......3604930........35476776........330330878
....21456....238640.....2671962......35476776.......480758688.......6045609040
....87164...1260486....18401364.....330330878......6045609040.....101410470742
...354008...6627450...125750824....3029315052.....74740595664....1668740442760
..1441060..35198148...872440876...28551327846....958854072908...28739211200900
..5874828.187296514..6089994150..271444171644..12448856412422..500884807969628
.23898504.992298282.42113161848.2547123932136.158549359318752.8543128692901112
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 16]
k=2: [order 37]
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EXAMPLE
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Some solutions for n=3 k=4
..0..2..1..2..0....0..2..1..0..1....0..2..0..0..2....0..2..1..1..2
..1..1..1..2..0....0..0..0..1..2....1..0..2..1..2....0..0..0..1..0
..0..0..2..0..1....2..1..1..2..0....1..1..1..1..0....1..0..2..1..1
..1..2..0..1..0....1..1..1..1..0....2..0..0..2..2....1..0..1..1..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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