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))

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

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