A251351 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 3 4 or 5

51, 309, 309, 1899, 3921, 1899, 11709, 50831, 50831, 11709, 72243, 663307, 1401453, 663307, 72243, 445797, 8671957, 39019417, 39019417, 8671957, 445797, 2751003, 113445117, 1089569635, 2324761359, 1089569635, 113445117, 2751003, 16976493

Offset

1,1

Comments

Table starts

.....51.......309........1899.........11709............72243.............445797

....309......3921.......50831........663307..........8671957..........113445117

...1899.....50831.....1401453......39019417.......1089569635........30455338423

..11709....663307....39019417....2324761359.....139048718681......8328173688589

..72243...8671957..1089569635..139048718681...17831423507215...2290637311033759

.445797.113445117.30455338423.8328173688589.2290637311033759.631348219277725029

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +3*a(n-2) -12*a(n-3)

k=2: [order 7]

k=3: [order 21]

k=4: [order 60]

Example

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

Crossrefs

Sequence in context: A253921 A204956 A243462 * A251344 A245362 A219145

Adjacent sequences: A251348 A251349 A251350 * A251352 A251353 A251354

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved