A236096 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays colored with the difference of the maximum and the upper median in each 2 X 2 subblock.

81, 344, 344, 1512, 1960, 1512, 6444, 10912, 10912, 6444, 28060, 59398, 78302, 59398, 28060, 119928, 321368, 495192, 495192, 321368, 119928, 519616, 1787690, 3614408, 4906388, 3614408, 1787690, 519616, 2226672, 9900936, 26325004, 51874196

Offset

1,1

Comments

Table starts

.......81........344........1512..........6444............28060

......344.......1960.......10912.........59398...........321368

.....1512......10912.......78302........495192..........3614408

.....6444......59398......495192.......4906388.........51874196

....28060.....321368.....3614408......51874196........876962762

...119928....1787690....26325004.....598026962......14741011576

...519616....9900936...206365422....6575406016.....259092046806

..2226672...54118764..1454459216...73548401748....4458209861208

..9647072..295217284.10985640382..807473668652...79623947375854

.41385504.1633131298.80383145484.9376937202644.1369088170048400

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 20] for n>22

k=3: [order 73] for n>78

Example

Some solutions for n=3, k=4
..0..1..0..2..1....0..1..2..0..1....0..0..1..2..0....0..0..1..1..2
..0..1..2..1..1....0..2..0..0..1....2..1..0..0..2....0..1..0..2..1
..0..2..0..1..0....2..1..0..0..2....0..2..1..1..0....1..0..0..0..1
..2..1..1..1..2....1..1..0..1..2....0..0..2..1..0....2..1..1..0..1

Crossrefs

Sequence in context: A217967 A237384 A237249 * A237377 A237242 A236089

Adjacent sequences: A236093 A236094 A236095 * A236097 A236098 A236099

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 19 2014

Status

approved