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%I #4 Dec 14 2014 20:49:35
%S 2581,3712,3712,5025,1930,5025,7570,1574,1574,7570,12522,2075,2264,
%T 2075,12522,21186,3749,3925,3925,3749,21186,37337,6883,9178,9058,9178,
%U 6883,37337,68096,12842,20753,26129,26129,20753,12842,68096,124387,26127
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7
%C Table starts
%C ...2581...3712...5025....7570....12522.....21186......37337......68096
%C ...3712...1930...1574....2075.....3749......6883......12842......26127
%C ...5025...1574...2264....3925.....9178.....20753......46233.....114986
%C ...7570...2075...3925....9058....26129.....67674.....170398.....513123
%C ..12522...3749...9178...26129....90638....282255.....874123....3133532
%C ..21186...6883..20753...67674...282255...1007913....3444924...14647117
%C ..37337..12842..46233..170398...874123...3444924...13087197...69021164
%C ..68096..26127.114986..513123..3133532..14647117...69021164..433466577
%C .124387..53376.269977.1339027..9855158..52661401..272148070.2027930035
%C .231325.107547.610667.3379880.31190308.182127968.1031454085.9834378488
%H R. H. Hardin, <a href="/A252167/b252167.txt">Table of n, a(n) for n = 1..364</a>
%F Empirical for column k:
%F k=2: [linear recurrence of order 35] for n>42
%F k=3: [order 40] for n>45
%F k=4: [order 46] for n>50
%F k=5: [order 72] for n>75
%F k=6: [order 86] for n>89
%e Some solutions for n=4 k=4
%e ..3..1..0..3..1..3....0..3..1..3..0..3....3..2..2..3..2..2....0..3..1..3..0..1
%e ..2..3..2..2..0..2....3..0..3..0..3..0....1..3..3..1..0..3....2..2..0..2..2..3
%e ..2..3..2..2..3..2....0..3..0..3..0..3....3..2..2..3..2..2....2..2..3..2..2..3
%e ..0..1..3..3..1..3....3..1..3..0..3..0....3..2..2..3..2..2....3..3..1..3..3..1
%e ..2..3..2..2..3..2....0..3..0..3..0..3....1..0..3..1..3..3....2..2..3..2..2..3
%e ..2..3..2..2..3..2....3..0..3..0..3..0....3..2..2..0..2..2....2..2..0..2..2..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
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