A251373 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 1 2 3 4 5 6 or 7

79, 695, 695, 6113, 17969, 6113, 53769, 464393, 464393, 53769, 472943, 12002283, 35257505, 12002283, 472943, 4159927, 310199103, 2676962017, 2676962017, 310199103, 4159927, 36590017, 8017100977, 203249994369, 597108952883

Offset

1,1

Comments

Table starts

......79........695...........6113.............53769...............472943

.....695......17969.........464393..........12002283............310199103

....6113.....464393.......35257505........2676962017.........203249994369

...53769...12002283.....2676962017......597108952883......133187012365193

..472943..310199103...203249994369...133187012365193....87274898497023663

.4159927.8017100977.15431888950873.29707797738391051.57189617044768555919

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) +7*a(n-2)

k=2: a(n) = 24*a(n-1) +49*a(n-2) -34*a(n-3)

k=3: a(n) = 66*a(n-1) +746*a(n-2) +660*a(n-3) -6281*a(n-4) +3690*a(n-5)

k=4: [order 10]

k=5: [order 20]

Example

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

Crossrefs

Sequence in context: A056211 A139184 A142235 * A251366 A152034 A348894

Adjacent sequences: A251370 A251371 A251372 * A251374 A251375 A251376

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved