A236354 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sum of the upper and lower median values of each 2X2 subblock

81, 462, 462, 2588, 3684, 2588, 14952, 27836, 27836, 14952, 86800, 220560, 266600, 220560, 86800, 498976, 1773948, 2706844, 2706844, 1773948, 498976, 2868608, 14076412, 28890754, 37560184, 28890754, 14076412, 2868608, 16528896, 111309712

Offset

1,1

Comments

Table starts

........81.........462.........2588.........14952.........86800........498976

.......462........3684........27836........220560.......1773948......14076412

......2588.......27836.......266600.......2706844......28890754.....301178180

.....14952......220560......2706844......37560184.....548901832....7780893140

.....86800.....1773948.....28890754.....548901832...11150684184..218180124952

....498976....14076412....301178180....7780893140..218180124952.5918599579740

...2868608...111309712...3117428148..108939439596.4240577249374

..16528896...884028160..32329186968.1539221337352

..95237312..7024666376.336865215998

.548375168.55750690252

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 31] for n>32

Example

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

Crossrefs

Sequence in context: A183971 A253526 A183963 * A236349 A334036 A253524

Adjacent sequences: A236351 A236352 A236353 * A236355 A236356 A236357

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 23 2014

Status

approved