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A233967
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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1))
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9
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48, 188, 188, 728, 864, 728, 3016, 3976, 3976, 3016, 12416, 20564, 21272, 20564, 12416, 52880, 106056, 134044, 134044, 106056, 52880, 224288, 587472, 840136, 1037788, 840136, 587472, 224288, 966496, 3219000, 5908796, 8010708, 8010708
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OFFSET
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1,1
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COMMENTS
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Table starts
.......48.......188.........728.........3016..........12416...........52880
......188.......864........3976........20564.........106056..........587472
......728......3976.......21272.......134044.........840136.........5908796
.....3016.....20564......134044......1037788........8010708........71071752
....12416....106056......840136......8010708.......75825248.......843467784
....52880....587472.....5908796.....71071752......843467784.....11722485528
...224288...3219000....40707148....620296556.....9249598420....162075947224
...966496..18340844...300964068...5958138300...114532675912...2557562765212
..4154112.103336120..2170249820..55642278148..1373037554172..39441683772012
.17982656.594474624.16319809356.552091785752.17854333708644.668586112256016
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..179
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FORMULA
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Empirical for column k:
k=1: a(n) = 4*a(n-1) +10*a(n-2) -36*a(n-3) -8*a(n-4) +16*a(n-5)
k=2: [order 14]
k=3: [order 43]
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EXAMPLE
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Some solutions for n=3 k=4
..2..1..2..0..0....1..3..0..3..1....1..0..2..1..0....1..3..0..2..1
..3..0..3..1..3....0..2..3..2..0....2..3..3..0..3....0..2..1..3..0
..0..1..2..0..2....1..3..0..3..1....3..0..2..1..2....1..3..0..0..1
..3..0..3..3..1....2..0..1..2..0....0..1..3..0..3....2..0..1..3..2
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CROSSREFS
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Sequence in context: A005911 A130566 A233792 * A233785 A233960 A210250
Adjacent sequences: A233964 A233965 A233966 * A233968 A233969 A233970
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Dec 18 2013
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STATUS
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approved
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