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A233967 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)) 9
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

FORMULA

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]

EXAMPLE

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

CROSSREFS

Sequence in context: A005911 A130566 A233792 * A233785 A233960 A210250

Adjacent sequences:  A233964 A233965 A233966 * A233968 A233969 A233970

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 18 2013

STATUS

approved

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Last modified August 13 04:54 EDT 2020. Contains 336442 sequences. (Running on oeis4.)