A233717 T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 14 (14 maximizes T(1,1)).

96, 444, 444, 1992, 2624, 1992, 9100, 16004, 16004, 9100, 41256, 103152, 136960, 103152, 41256, 187780, 662008, 1291820, 1291820, 662008, 187780, 853104, 4295540, 12203480, 18407992, 12203480, 4295540, 853104, 3879380, 27795204, 117736088

Offset

1,1

Comments

Table starts

.......96........444..........1992............9100.............41256

......444.......2624.........16004..........103152............662008

.....1992......16004........136960.........1291820..........12203480

.....9100.....103152.......1291820........18407992.........265416076

....41256.....662008......12203480.......265416076........5886720368

...187780....4295540.....117736088......3941219232......135854016892

...853104...27795204....1132387344.....58415215048.....3129633625144

..3879380..180350552...10952782784....873119150720....72969887485252

.17632896.1168954616..105752474712..13022224846292..1696131249929176

.80165004.7582779720.1022915229556.194807536465768.39606967139987452

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: [linear recurrence of order 8];

k=2: [order 27];

k=3: [order 75].

Example

Some solutions for n=3, k=4
..0..0..2..0..2....0..0..0..0..0....0..3..3..3..0....0..3..3..3..0
..1..3..3..3..3....1..3..2..3..2....1..1..4..1..1....0..1..4..1..1
..1..0..2..0..1....0..0..0..3..0....0..3..4..3..4....3..3..3..3..0
..1..3..3..3..1....1..3..1..3..1....0..1..4..1..1....0..1..0..2..0

Crossrefs

Sequence in context: A304515 A233818 A233811 * A233710 A234083 A234076

Adjacent sequences: A233714 A233715 A233716 * A233718 A233719 A233720

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 15 2013

Status

approved