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%I #4 Dec 18 2014 09:50:27
%S 771,1107,747,1510,889,832,2443,1752,1477,1265,4284,3178,4006,3084,
%T 2162,7755,8508,8329,10585,7144,3761,13917,21797,29158,24336,33635,
%U 16327,6855,27182,42359,88899,104515,80820,93997,37430,12549,51187,123304,189777
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7
%C Table starts
%C ...771...1107....1510.....2443......4284.......7755.......13917........27182
%C ...747....889....1752.....3178......8508......21797.......42359.......123304
%C ...832...1477....4006.....8329.....29158......88899......189777.......680323
%C ..1265...3084...10585....24336....104515.....386004......902276......3886119
%C ..2162...7144...33635....80820....474384....2464176.....5882014.....35442488
%C ..3761..16327...93997...242136...1818662...11035929....28350064....216831038
%C ..6855..37430..270672...748814...6914968...52263770...145399017...1341388351
%C .12549..88797..884446..2418811..30571435..332967343...892449409..11588408619
%C .22875.207847.2534461..7241365.118748167.1520737989..4324294849..72250603584
%C .42485.481879.7459102.22589612.457814585.7411561448.22587330627.456879026434
%H R. H. Hardin, <a href="/A252558/b252558.txt">Table of n, a(n) for n = 1..364</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 54] for n>60
%F k=2: [order 45] for n>50
%F k=3: [order 39] for n>45
%F k=4: [order 54] for n>60
%F k=5: [order 84] for n>89
%F Empirical for row n:
%F n=1: [linear recurrence of order 44] for n>60
%F n=2: [order 27] for n>32
%F n=3: [order 24] for n>31
%F n=4: [order 24] for n>30
%F n=5: [order 24] for n>32
%F n=6: [order 42] for n>49
%F n=7: [order 36] for n>45
%e Some solutions for n=4 k=4
%e ..2..0..2..2..0..0....0..2..2..0..2..2....2..3..2..2..3..2....2..3..2..2..0..2
%e ..3..3..1..3..3..1....2..3..2..2..3..2....2..2..3..2..2..0....3..3..1..3..3..1
%e ..3..2..2..0..2..2....3..3..1..3..0..1....1..0..0..1..3..3....3..2..2..0..2..2
%e ..2..3..2..2..3..2....0..2..2..3..2..2....2..3..2..2..3..2....2..0..2..2..3..2
%e ..0..3..1..3..3..1....2..3..2..2..3..2....2..2..3..2..2..0....3..3..1..3..0..1
%e ..3..2..2..3..2..2....3..0..1..3..3..1....1..3..0..1..0..3....0..2..2..3..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 18 2014