The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #4 Dec 16 2014 08:34:12
%S 206,185,185,232,300,232,322,588,588,322,535,948,1407,948,535,852,
%T 2154,2513,2513,2154,852,1260,4702,7803,4895,7803,4702,1260,2221,7922,
%U 20430,15739,15739,20430,7922,2221,3676,18772,37160,43488,67509,43488,37160
%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 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7
%C Table starts
%C ..206...185....232.....322......535.......852......1260.......2221........3676
%C ..185...300....588.....948.....2154......4702......7922......18772.......41890
%C ..232...588...1407....2513.....7803.....20430.....37160.....121782......326774
%C ..322...948...2513....4895....15739.....43488.....85808.....276544......765830
%C ..535..2154...7803...15739....67509....257064....518498....2242108.....8653976
%C ..852..4702..20430...43488...257064...1181875...2489352...15332220....72256060
%C .1260..7922..37160...85808...518498...2489352...5767680...34496526...165959340
%C .2221.18772.121782..276544..2242108..15332220..34496526..279737770..1945383800
%C .3676.41890.326774..765830..8653976..72256060.165959340.1945383800.16717863291
%C .5538.71050.596036.1513196.17431304.151452208.384876232.4361403042.38061343287
%H R. H. Hardin, <a href="/A252278/b252278.txt">Table of n, a(n) for n = 1..612</a>
%F Empirical for column k:
%F k=1: a(n) = 6*a(n-3) -7*a(n-6) +2*a(n-9) for n>12
%F k=2: [order 21] for n>22
%F k=3: [order 24] for n>27
%F k=4: a(n) = 21*a(n-3) -62*a(n-6) +47*a(n-9) -5*a(n-12) for n>15
%F k=5: [order 36] for n>37
%F k=6: [order 42] for n>48
%F k=7: [order 21] for n>27
%e Some solutions for n=4 k=4
%e ..2..0..3..2..3..0....2..3..3..2..0..3....2..3..3..2..3..3....2..3..3..2..3..0
%e ..2..3..3..2..3..3....1..2..2..1..2..2....1..2..2..1..2..2....2..0..3..2..3..3
%e ..1..2..2..1..2..2....2..0..3..2..3..3....2..3..3..2..3..3....1..2..2..1..2..2
%e ..2..3..3..2..0..3....2..3..3..2..3..3....2..0..3..2..3..0....2..3..3..2..3..3
%e ..2..3..3..2..3..3....1..2..2..1..2..2....1..2..2..1..2..2....2..0..3..2..3..0
%e ..1..2..2..1..2..2....2..0..3..2..3..0....2..3..3..2..3..3....1..2..2..1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014