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%I #4 Dec 14 2014 16:52:15
%S 1254,1945,1945,2591,1874,2591,3583,1898,1898,3583,5577,2702,3197,
%T 2702,5577,8309,4732,4988,4988,4732,8309,13146,8769,9572,8425,9572,
%U 8769,13146,20950,16786,17803,15460,15460,17803,16786,20950,33818,32653,35924,29825
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7
%C Table starts
%C ..1254...1945...2591...3583...5577....8309...13146...20950....33818....55346
%C ..1945...1874...1898...2702...4732....8769...16786...32653....64082...126281
%C ..2591...1898...3197...4988...9572...17803...35924...68613...140294...268864
%C ..3583...2702...4988...8425..15460...29825...58792..116276...229960...457196
%C ..5577...4732...9572..15460..29276...57271..114243..225966...451186...898886
%C ..8309...8769..17803..29825..57271..112547..223442..447713...891380..1776728
%C .13146..16786..35924..58792.114243..223442..446661..897932..1788360..3551084
%C .20950..32653..68613.116276.225966..447713..897932.1835764..3657020..7406660
%C .33818..64082.140294.229960.451186..891380.1788360.3657020..7371828.14724764
%C .55346.126281.268864.457196.898886.1776728.3551084.7406660.14724764.29451572
%H R. H. Hardin, <a href="/A252157/b252157.txt">Table of n, a(n) for n = 1..448</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 61] for n>82
%F k=2: [order 19] for n>27
%F k=3: [order 9] for n>14
%F k=4: [order 8] for n>13
%F k=5: [order 11] for n>16
%F k=6: [order 10] for n>15
%F k=7: [order 11, same recurrence as k=5] for n>16
%e Some solutions for n=4 k=4
%e ..0..2..2..0..2..2....0..2..3..3..3..3....3..3..3..3..3..2....3..3..3..3..3..3
%e ..1..0..3..1..0..3....2..0..2..0..2..3....3..0..2..0..2..0....3..2..0..2..0..2
%e ..1..0..3..1..0..3....0..2..0..2..0..2....3..2..0..2..0..2....2..0..2..0..2..0
%e ..0..2..2..0..2..2....2..0..2..0..2..0....2..0..2..0..2..3....3..2..0..2..0..2
%e ..1..3..0..1..3..0....0..2..0..2..0..2....3..2..0..2..0..3....3..0..2..0..2..3
%e ..1..0..3..1..0..3....2..0..2..0..2..3....3..3..2..0..2..3....3..3..3..2..0..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
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