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A237779
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper 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, 300, 300, 1176, 1456, 1176, 4480, 7220, 7220, 4480, 17768, 34738, 44224, 34738, 17768, 67152, 168120, 241036, 241036, 168120, 67152, 263504, 843310, 1618456, 2255544, 1618456, 843310, 263504, 1002432, 4176684, 10751680, 21945828
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OFFSET
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1,1
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COMMENTS
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Table starts
.......81.......300........1176..........4480...........17768.............67152
......300......1456........7220.........34738..........168120............843310
.....1176......7220.......44224........241036.........1618456..........10751680
.....4480.....34738......241036.......2255544........21945828.........224887166
....17768....168120.....1618456......21945828.......331842772........4904397000
....67152....843310....10751680.....224887166......4904397000......117723591636
...263504...4176684....75418228....2190136632.....76440691940.....2748357091956
..1002432..20234876...465173744...22128390502...1155901368104....65728872219894
..3967808..98488592..3176256972..219294978892..18071506440724..1499406107437504
.15017792.490709904.21049234848.2263239636542.271890411395784.36564928000148830
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..264
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FORMULA
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Empirical for column k:
k=1: a(n) = 188*a(n-4) +512*a(n-6) +336*a(n-8) -64*a(n-10) for n>13
k=2: [order 20] for n>22
k=3: [order 50] for n>55
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..0..0..1....0..0..2..0..2....0..0..1..2..0....0..1..2..1..0
..0..0..2..1..0....1..2..1..1..2....1..1..2..0..1....1..0..0..2..0
..1..1..1..2..1....2..0..1..0..0....1..2..0..1..0....2..1..1..1..2
..2..1..0..0..2....1..1..1..2..2....2..1..1..0..0....1..2..0..1..0
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CROSSREFS
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Sequence in context: A235947 A237809 A237802 * A237772 A236819 A237099
Adjacent sequences: A237776 A237777 A237778 * A237780 A237781 A237782
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Feb 13 2014
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STATUS
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approved
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