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%I #4 Feb 12 2014 07:07:02
%S 81,348,348,1510,2152,1510,6610,13496,13496,6610,28877,86010,122940,
%T 86010,28877,125428,542946,1145290,1145290,542946,125428,545952,
%U 3412698,10499035,15828110,10499035,3412698,545952,2381432,21521906,95855164
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......81........348.........1510...........6610.............28877
%C ......348.......2152........13496..........86010............542946
%C .....1510......13496.......122940........1145290..........10499035
%C .....6610......86010......1145290.......15828110.........213127880
%C ....28877.....542946.....10499035......213127880........4174594857
%C ...125428....3412698.....95855164.....2855466356.......81322186248
%C ...545952...21521906....880137130....38540080508.....1600427032562
%C ..2381432..136316506...8127250116...526083461626....31963255437824
%C .10387640..860711592..74629273042..7105289200594...628861098745518
%C .45202024.5425536832.683964254956.95708446038402.12333769685662064
%H R. H. Hardin, <a href="/A237730/b237730.txt">Table of n, a(n) for n = 1..143</a>
%F Empirical for column k:
%F k=1: a(n) = 272*a(n-4) +1668*a(n-6) +172*a(n-8) +16*a(n-10) for n>13
%F k=2: [order 22] for n>24
%F k=3: [order 88] for n>91
%e Some solutions for n=3 k=4
%e ..0..0..1..0..2....0..0..2..2..1....0..0..0..0..1....0..0..0..0..2
%e ..2..0..2..1..2....2..0..1..2..0....1..1..0..2..0....0..1..1..0..0
%e ..0..1..1..2..2....2..1..0..2..0....1..1..0..1..1....1..2..2..1..0
%e ..1..0..1..1..0....1..1..1..1..0....0..2..0..1..1....0..2..2..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 12 2014
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