A234161 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

46, 226, 226, 1108, 2210, 1108, 5446, 21428, 21428, 5446, 26794, 208530, 411712, 208530, 26794, 131896, 2031286, 7952532, 7952532, 2031286, 131896, 649450, 19801468, 153793284, 305867942, 153793284, 19801468, 649450, 3198322

Offset

1,1

Comments

Table starts

.......46.........226...........1108..............5446................26794

......226........2210..........21428............208530..............2031286

.....1108.......21428.........411712...........7952532............153793284

.....5446......208530........7952532.........305867942..........11788446834

....26794.....2031286......153793284.......11788446834.........906740091154

...131896....19801468.....2976757624......454899880956.......69879798953496

...649450...193116778....57647946980....17566272589090.....5391006112450218

..3198322..1883946390..1116833738020...678657896630666...416172275582037586

.15751828.18382182848.21642612331360.26228432144965180.32142152588267208940

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: a(n) = 7*a(n-1) -9*a(n-2) -6*a(n-3)

k=2: a(n) = 16*a(n-1) -59*a(n-2) -31*a(n-3) +118*a(n-4) +35*a(n-5) -10*a(n-6)

k=3: [order 11]

k=4: [order 26]

k=5: [order 53]

Example

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

Crossrefs

Sequence in context: A235550 A083358 A254229 * A234154 A251410 A251403

Adjacent sequences: A234158 A234159 A234160 * A234162 A234163 A234164

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 20 2013

Status

approved