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%I #4 Dec 17 2014 09:56:28
%S 458,661,293,983,442,319,1551,774,688,426,2689,1157,1515,1224,631,
%T 4582,2489,2555,3302,2414,964,7662,5060,7425,6231,8346,5061,1529,
%U 13777,8307,18377,21819,16906,20998,10129,2517,24375,19629,32710,63428,73925,44456
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7
%C Table starts
%C ..458...661....983....1551.....2689......4582......7662......13777.......24375
%C ..293...442....774....1157.....2489......5060......8307......19629.......41216
%C ..319...688...1515....2555.....7425.....18377.....32710......97923......245711
%C ..426..1224...3302....6231....21819.....63428....122653.....433272.....1264088
%C ..631..2414...8346...16906....73925....267113....551827....2435059.....8866727
%C ..964..5061..20998...44456...249530...1068295...2289969...12895653....55487440
%C .1529.10129..50675..113146...762761...3896844...8765249...58862703...301012112
%C .2517.21427.133296..311214..2632409..16806104..39649367..335814585..2161683081
%C .4097.46070.343447..819606..8914507..68150374.163860739.1780727737.13694498100
%C .6733.93671.848007.2086566.27372795.253409613.627061685.8161047651.75692321760
%H R. H. Hardin, <a href="/A252407/b252407.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 24] for n>28
%F k=2: [order 27] for n>31
%F k=3: [order 45] for n>48
%F k=4: [order 66] for n>69
%F k=5: [order 84] for n>87
%F Empirical for row n:
%F n=1: [linear recurrence of order 79] for n>86
%F n=2: [order 21] for n>26
%F n=3: [order 30] for n>37
%F n=4: [order 39] for n>41
%F n=5: [order 54] for n>55
%F n=6: [order 60] for n>63
%F n=7: [order 90] for n>91
%e Some solutions for n=4 k=4
%e ..2..3..2..2..0..2....2..2..0..2..2..0....2..2..3..2..2..0....2..3..2..2..0..2
%e ..3..3..1..3..3..1....1..3..3..1..3..3....3..2..2..3..2..2....0..3..1..3..3..1
%e ..3..2..2..3..2..2....2..0..2..2..3..2....0..1..3..3..1..3....3..2..2..3..2..2
%e ..2..0..2..2..3..2....2..2..3..2..2..0....2..2..3..2..2..0....2..3..2..2..0..2
%e ..3..3..1..3..0..1....1..3..0..1..3..3....3..2..2..3..2..2....0..3..1..3..3..1
%e ..0..2..2..3..2..2....2..3..2..2..0..2....3..1..0..3..1..3....3..2..2..0..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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