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%I #4 Dec 15 2014 13:15:18
%S 228,368,368,812,1028,812,1442,3066,3066,1442,2458,7724,9566,7724,
%T 2458,4738,22256,24932,24932,22256,4738,9922,70284,73826,58334,73826,
%U 70284,9922,20070,219824,231254,160688,160688,231254,219824,20070,38774,675264
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4
%C Table starts
%C ...228.....368......812.....1442......2458......4738.......9922......20070
%C ...368....1028.....3066.....7724.....22256.....70284.....219824.....675264
%C ...812....3066.....9566....24932.....73826....231254.....718514....2208224
%C ..1442....7724....24932....58334....160688....512822....1619714....4972874
%C ..2458...22256....73826...160688....412514...1339010....4297634...13186856
%C ..4738...70284...231254...512822...1339010...4329476...13842872...42480650
%C ..9922..219824...718514..1619714...4297634..13842872...44099648..135348914
%C .20070..675264..2208224..4972874..13186856..42480650..135348914..415405634
%C .38774.2072804..6786900.15236172..40282992.129860460..414030384.1270689408
%C .75106.6383492.20903022.46914228.123998850.399765942.1274652450.3911991552
%H R. H. Hardin, <a href="/A252228/b252228.txt">Table of n, a(n) for n = 1..2243</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3) +3*a(n-4) -2*a(n-5) -2*a(n-7) for n>10
%F k=2: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>9
%F k=3: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>8
%F k=4: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>8
%F k=5: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>8
%F k=6: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>8
%F k=7: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -a(n-5) -a(n-6) for n>8
%e Some solutions for n=4 k=4
%e ..1..0..2..0..1..1....0..1..1..2..1..1....1..2..0..2..0..2....1..1..0..2..0..1
%e ..1..2..0..2..0..1....2..0..2..0..2..0....2..0..2..0..2..0....1..0..2..0..2..0
%e ..2..0..2..0..2..1....0..2..0..2..0..2....1..2..0..2..0..2....1..2..0..2..0..2
%e ..0..2..0..2..0..2....2..0..2..0..2..1....1..0..2..0..2..1....2..0..2..0..2..0
%e ..2..0..2..0..2..0....0..2..0..2..0..1....0..2..0..2..0..1....0..2..0..2..0..2
%e ..1..1..1..2..0..1....1..0..2..0..2..1....2..0..2..0..1..1....1..1..2..0..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 15 2014
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