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%I #4 Dec 25 2013 18:22:39
%S 448,4516,4516,44140,89844,44140,453728,1729584,1729584,453728,
%T 4641220,37628800,58371648,37628800,4641220,47946684,828368064,
%U 2539059832,2539059832,828368064,47946684,494928936,18660740184,109799236808
%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 14 and no adjacent elements equal
%C Table starts
%C .......448.........4516...........44140.............453728.............4641220
%C ......4516........89844.........1729584...........37628800...........828368064
%C .....44140......1729584........58371648.........2539059832........109799236808
%C ....453728.....37628800......2539059832.......246163893400......23699592729240
%C ...4641220....828368064....109799236808.....23699592729240....4893587565262048
%C ..47946684..18660740184...5083291722008...2541252995824388.1189817781122853232
%C .494928936.422356863016.236294724920980.274279786722927952
%H R. H. Hardin, <a href="/A234428/b234428.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 12]
%F k=2: [order 68]
%e Some solutions for n=2 k=4
%e ..2..7..1..7..0....4..7..6..1..3....4..7..4..7..1....4..7..3..1..6
%e ..0..1..0..4..2....0..1..7..0..7....0..1..0..4..0....0..1..0..5..3
%e ..2..7..3..0..5....2..7..6..3..4....2..7..4..7..6....2..7..1..7..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 25 2013
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