A237308 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median of every 2X2 subblock equal

81, 435, 435, 2174, 5433, 2174, 11545, 60958, 60958, 11545, 61055, 731603, 1415117, 731603, 61055, 326262, 8680769, 36167196, 36167196, 8680769, 326262, 1745153, 103860036, 901210126, 2009833839, 901210126, 103860036, 1745153, 9357963

Offset

1,1

Comments

Table starts

......81.........435...........2174.............11545................61055

.....435........5433..........60958............731603..............8680769

....2174.......60958........1415117..........36167196............901210126

...11545......731603.......36167196........2009833839.........108105728913

...61055.....8680769......901210126......108105728913.......12453653921528

..326262...103860036....22791851729.....5924015749908.....1470245290038872

.1745153..1241171131...575227568134...323852801203185...173172498170107173

.9357963.14853266129.14576482693268.17797884221279895.20549153283999881019

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 17]

k=3: [order 38]

k=4: [order 87]

Example

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

Crossrefs

Sequence in context: A235417 A237391 A237385 * A237301 A237945 A237938

Adjacent sequences: A237305 A237306 A237307 * A237309 A237310 A237311

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2014

Status

approved