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%I #4 Dec 20 2014 12:53:07
%S 901,1005,2106,4298,11543,28363,64640,181608,459594,1077260,3086344,
%T 7919676,18750107,54232060,140107552,333274007,968659780,2511122087,
%U 5987505072,17447315392,45310860821,108172897186,315636791803
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7
%C Column 3 of A252679
%H R. H. Hardin, <a href="/A252674/b252674.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 38*a(n-3) -510*a(n-6) +3407*a(n-9) -14867*a(n-12) +49887*a(n-15) -127941*a(n-18) +243668*a(n-21) -347849*a(n-24) +360411*a(n-27) -231887*a(n-30) +57472*a(n-33) +13006*a(n-36) -6088*a(n-39) +1361*a(n-42) -53*a(n-45) -62*a(n-48) +8*a(n-51) for n>53
%e Some solutions for n=4
%e ..1..3..1..1..0....0..1..1..3..1....0..1..1..3..1....0..3..2..2..3
%e ..0..0..2..0..3....1..0..1..1..0....1..0..1..1..0....3..1..1..0..1
%e ..0..1..1..0..1....0..0..2..0..0....3..0..2..0..0....1..0..1..1..0
%e ..1..0..1..1..0....3..1..1..0..1....0..1..1..0..1....0..0..2..0..3
%e ..0..3..2..0..3....1..0..1..1..0....1..0..1..1..0....3..1..1..0..1
%e ..0..1..1..3..1....0..0..2..0..3....3..2..2..3..0....1..3..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2014
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