A234421 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

106, 550, 550, 2848, 5606, 2848, 14794, 56768, 56768, 14794, 76996, 576798, 1131708, 576798, 76996, 401332, 5868488, 22692600, 22692600, 5868488, 401332, 2094334, 59776664, 455740110, 902381482, 455740110, 59776664, 2094334, 10939294

Offset

1,1

Comments

Table starts

......106.........550...........2848.............14794.................76996

......550........5606..........56768............576798...............5868488

.....2848.......56768........1131708..........22692600.............455740110

....14794......576798.......22692600.........902381482...........35990116136

....76996.....5868488......455740110.......35990116136.........2857237950632

...401332....59776664.....9162597900.....1437580782720.......227405955444726

..2094334...609452862...184360780592....57473377454022.....18122285038689252

.10939294..6218451874..3711992019408..2299237494134150...1445332509814385676

.57181342.63489735426.74780929646602.92030237216593330.115337212755587318482

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: a(n) = 13*a(n-1) -54*a(n-2) +57*a(n-3) +90*a(n-4) -96*a(n-5) -108*a(n-6) -24*a(n-7)

k=2: [order 16]

k=3: [order 33]

k=4: [order 94]

Example

Some solutions for n=2 k=4
..4..4..5..4..4....0..1..1..0..0....4..3..3..3..2....2..2..1..1..1
..4..5..4..4..3....0..0..0..1..1....4..3..3..3..3....2..1..1..1..2
..5..5..4..4..3....1..0..1..1..0....4..3..2..2..3....1..2..2..1..2

Crossrefs

Sequence in context: A213458 A260937 A200868 * A234414 A090037 A187588

Adjacent sequences: A234418 A234419 A234420 * A234422 A234423 A234424

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 25 2013

Status

approved