A236704 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock

81, 426, 426, 2285, 3188, 2285, 12076, 23788, 23788, 12076, 64277, 178232, 259396, 178232, 64277, 340944, 1338314, 2832926, 2832926, 1338314, 340944, 1814328, 10041714, 31409880, 46692992, 31409880, 10041714, 1814328, 9631020, 75235940

Offset

1,1

Comments

Table starts

........81.........426..........2285..........12076...........64277

.......426........3188.........23788.........178232.........1338314

......2285.......23788........259396........2832926........31409880

.....12076......178232.......2832926.......46692992.......775050154

.....64277.....1338314......31409880......775050154.....19605710895

....340944....10041714.....343725916....12823407292....488730626484

...1814328....75235940....3791095422...211713828688..12281928596332

...9631020...563994510...41527455416..3511115688000.307621332573176

..51194672..4230366698..459098074574.58239156471582

.271870052.31726827262.5029066110784

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 36] for n>37

Example

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

Crossrefs

Sequence in context: A238173 A206407 A236610 * A236604 A236698 A235421

Adjacent sequences: A236701 A236702 A236703 * A236705 A236706 A236707

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved