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A237567
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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9
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81, 316, 316, 1256, 1536, 1256, 4984, 7356, 7356, 4984, 19900, 36168, 44828, 36168, 19900, 78144, 175768, 272828, 272828, 175768, 78144, 311512, 848720, 1668300, 2161168, 1668300, 848720, 311512, 1227648, 4121060, 10006572, 16418704
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OFFSET
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1,1
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COMMENTS
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Table starts
.......81.......316........1256.........4984..........19900...........78144
......316......1536........7356........36168.........175768..........848720
.....1256......7356.......44828.......272828........1668300........10006572
.....4984.....36168......272828......2161168.......16418704.......126608036
....19900....175768.....1668300.....16418704......159014170......1518590620
....78144....848720....10006572....126608036.....1518590620.....18615658788
...311512...4121060....61521086....977290740....14891233160....228407442348
..1227648..20050460...369916012...7535608804...142803584684...2815624842216
..4896848..97225972..2269219612..58063606256..1403992115612..34622654326396
.19273664.471641072.13640047444.448289864392.13464379623752.426711928933956
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 4*a(n-2) +140*a(n-4) +632*a(n-6) +864*a(n-8) for n>9
k=2: [order 17]
k=3: [order 60] for n>63
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..0..1..1....0..0..1..0..1....0..2..2..1..2....0..1..1..2..2
..0..1..0..2..1....0..0..1..1..0....1..2..2..1..0....0..2..0..2..1
..2..1..0..2..1....1..1..2..2..1....0..1..1..1..0....0..2..1..1..2
..2..1..2..1..0....0..2..0..0..2....0..1..0..0..0....2..1..0..0..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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