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%I #4 Dec 20 2014 12:54:43
%S 1802,3185,9794,26744,96174,314753,916706,3355456,11123034,32742110,
%T 120563173,402117190,1187329749,4381126617,14653518344,43323504105,
%U 160002531150,535852917600,1585231565872,5857127789064,19627810957386
%N Number of (n+2)X(5+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 5 of A252679
%H R. H. Hardin, <a href="/A252676/b252676.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 77*a(n-3) -2158*a(n-6) +32583*a(n-9) -348131*a(n-12) +2889365*a(n-15) -18492500*a(n-18) +92728268*a(n-21) -359935970*a(n-24) +1049776470*a(n-27) -2303619848*a(n-30) +3574268409*a(n-33) -2501583784*a(n-36) -2506364248*a(n-39) +5789534449*a(n-42) -1252712555*a(n-45) -3752683510*a(n-48) +1446164926*a(n-51) +2010964494*a(n-54) -1425040391*a(n-57) -173735537*a(n-60) +433798397*a(n-63) -101614039*a(n-66) -6614731*a(n-69) +4474824*a(n-72) -1986952*a(n-75) +69976*a(n-78) +30306*a(n-81) +1767*a(n-84) +76*a(n-87) -32*a(n-90) for n>92
%e Some solutions for n=4
%e ..3..2..0..0..2..0..0....0..0..2..0..0..2..0....1..1..0..1..1..3..1
%e ..1..1..0..1..1..0..1....0..1..1..0..1..1..0....3..1..1..0..1..1..0
%e ..0..1..1..0..1..1..0....1..3..1..1..0..1..1....0..2..3..0..2..0..3
%e ..0..2..0..0..2..0..3....0..0..2..0..0..2..3....1..1..0..1..1..0..1
%e ..1..1..3..1..1..0..1....0..1..1..0..1..1..0....0..1..1..0..1..1..0
%e ..0..1..1..0..1..1..0....1..0..1..1..0..1..1....0..2..0..3..2..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 20 2014