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%I #4 Dec 17 2014 12:47:19
%S 661,228,228,323,334,323,747,959,959,747,1731,2643,3366,2643,1731,
%T 3938,7223,11334,11334,7223,3938,9013,20242,38966,48170,38966,20242,
%U 9013,20820,56643,134907,203320,203320,134907,56643,20820,48122,157904,464384
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7
%C Table starts
%C ....661.....228......323.......747.......1731........3938..........9013
%C ....228.....334......959......2643.......7223.......20242.........56643
%C ....323.....959.....3366.....11334......38966......134907........464384
%C ....747....2643....11334.....48170.....203320......863351.......3675259
%C ...1731....7223....38966....203320....1058050.....5596619......29527662
%C ...3938...20242...134907....863351....5596619....36760486.....240708592
%C ...9013...56643...464384...3675259...29527662...240708592....1956458824
%C ..20820..157904..1603397..15672575..155721485..1577703429...15909752456
%C ..48122..441732..5553753..66857788..823647387.10367458379..129736526156
%C .111079.1236191.19211480.285055325.4355427974.68072122171.1057338390851
%H R. H. Hardin, <a href="/A252457/b252457.txt">Table of n, a(n) for n = 1..312</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 17] for n>20
%F k=2: [order 22] for n>25
%F k=3: [order 44] for n>47
%F k=4: [order 69] for n>73
%e Some solutions for n=4 k=4
%e ..3..1..1..1..3..1....2..3..3..3..2..3....3..3..3..3..3..3....1..1..1..1..3..1
%e ..3..1..1..1..1..1....3..3..2..3..3..3....3..3..3..3..3..3....3..1..1..1..1..1
%e ..3..1..1..3..1..1....3..3..3..3..3..2....3..3..3..3..3..3....1..1..1..1..1..3
%e ..3..1..1..1..1..3....3..2..3..3..3..3....3..3..3..3..3..3....1..3..1..1..1..1
%e ..3..1..1..1..1..1....3..3..3..3..3..3....2..3..3..3..3..2....1..1..1..1..3..1
%e ..3..1..1..1..1..1....3..3..2..3..3..2....3..3..3..2..3..3....1..1..3..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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