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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.
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 19 2014
STATUS
approved