A233949 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 4

44, 226, 226, 1150, 2108, 1150, 5874, 19484, 19484, 5874, 29970, 180972, 328508, 180972, 29970, 152974, 1679760, 5601514, 5601514, 1679760, 152974, 780718, 15596008, 95457842, 176523392, 95457842, 15596008, 780718, 3984650, 144797048

Offset

1,1

Comments

Table starts

........44..........226............1150...............5874

.......226.........2108...........19484.............180972

......1150........19484..........328508............5601514

......5874.......180972.........5601514..........176523392

.....29970......1679760........95457842.........5575336614

....152974.....15596008......1628628304.......176443282254

....780718....144797048.....27781166008......5586328225626

...3984650...1344358636....473979079512....176913068237196

..20336682..12481572704...8086137608310...5603035961686288

.103793974.115884202944.137956079585788.177460847788244822

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +3*a(n-2) -13*a(n-3) +2*a(n-4)

k=2: [order 10]

k=3: [order 25]

k=4: [order 70]

Example

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

Crossrefs

Sequence in context: A122235 A250454 A250447 * A233942 A122245 A031175

Adjacent sequences: A233946 A233947 A233948 * A233950 A233951 A233952

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2013

Status

approved