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%I #4 Dec 19 2013 07:38:34
%S 144,828,828,4720,5928,4720,28328,42980,42980,28328,171136,344540,
%T 391232,344540,171136,1058160,2819612,4090992,4090992,2819612,1058160,
%U 6567360,24256020,44020608,57076708,44020608,24256020,6567360,41201312,210130764
%N T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1))
%C Table starts
%C .....144.......828.......4720........28328........171136.........1058160
%C .....828......5928......42980.......344540.......2819612........24256020
%C ....4720.....42980.....391232......4090992......44020608.......513164308
%C ...28328....344540....4090992.....57076708.....823143024.....13168405216
%C ..171136...2819612...44020608....823143024...15831135568....344607516548
%C .1058160..24256020..513164308..13168405216..344607516548..10312421814724
%C .6567360.210130764.6042237368.214483249704.7674912649456.317529314941288
%H R. H. Hardin, <a href="/A234091/b234091.txt">Table of n, a(n) for n = 1..111</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 9]
%F k=2: [order 39]
%e Some solutions for n=2 k=4
%e ..3..1..2..4..4....0..3..0..1..0....0..1..0..3..0....3..1..3..5..3
%e ..2..4..1..1..3....2..1..0..3..2....0..3..2..3..2....2..0..2..4..2
%e ..5..3..2..4..4....4..3..2..1..4....1..0..3..0..3....3..3..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 19 2013
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