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%I #6 Mar 08 2023 11:54:34
%S 81,344,344,1512,1960,1512,6444,10912,10912,6444,28060,59398,78302,
%T 59398,28060,119928,321368,495192,495192,321368,119928,519616,1787690,
%U 3614408,4906388,3614408,1787690,519616,2226672,9900936,26325004,51874196
%N 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.
%C Table starts
%C .......81........344........1512..........6444............28060
%C ......344.......1960.......10912.........59398...........321368
%C .....1512......10912.......78302........495192..........3614408
%C .....6444......59398......495192.......4906388.........51874196
%C ....28060.....321368.....3614408......51874196........876962762
%C ...119928....1787690....26325004.....598026962......14741011576
%C ...519616....9900936...206365422....6575406016.....259092046806
%C ..2226672...54118764..1454459216...73548401748....4458209861208
%C ..9647072..295217284.10985640382..807473668652...79623947375854
%C .41385504.1633131298.80383145484.9376937202644.1369088170048400
%H R. H. Hardin, <a href="/A236096/b236096.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10] for n>11
%F k=2: [order 20] for n>22
%F k=3: [order 73] for n>78
%e Some solutions for n=3, k=4
%e ..0..1..0..2..1....0..1..2..0..1....0..0..1..2..0....0..0..1..1..2
%e ..0..1..2..1..1....0..2..0..0..1....2..1..0..0..2....0..1..0..2..1
%e ..0..2..0..1..0....2..1..0..0..2....0..2..1..1..0....1..0..0..0..1
%e ..2..1..1..1..2....1..1..0..1..2....0..0..2..1..0....2..1..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 19 2014
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