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%I #4 Dec 17 2014 12:43:01
%S 228,334,959,2643,7223,20242,56643,157904,441732,1236191,3457251,
%T 9675077,27082988,75811167,212260118,594414790,1664804901,4663453223,
%U 13065449675,36610452250,102601066175,287584652400,806202954272,2260411478111
%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 4 6 or 7
%C Column 2 of A252457
%H R. H. Hardin, <a href="/A252451/b252451.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) +7*a(n-3) -29*a(n-4) -11*a(n-5) -10*a(n-6) +60*a(n-7) +72*a(n-8) +39*a(n-9) -48*a(n-10) -69*a(n-11) -75*a(n-12) -36*a(n-13) -9*a(n-14) +30*a(n-15) +49*a(n-16) +44*a(n-17) +14*a(n-18) -7*a(n-19) -13*a(n-20) -7*a(n-21) -2*a(n-22) for n>25
%e Some solutions for n=4
%e ..3..3..3..2....1..1..1..3....3..3..3..3....3..2..3..3....1..1..1..3
%e ..3..3..3..3....3..1..1..1....3..3..2..3....3..3..3..2....1..1..1..1
%e ..3..3..2..3....1..1..1..1....3..3..3..3....3..3..3..3....1..1..1..1
%e ..2..3..3..3....1..3..1..1....3..3..3..2....2..3..3..3....1..3..1..1
%e ..3..3..3..3....1..1..1..3....3..2..3..3....3..3..2..3....1..1..1..3
%e ..3..2..3..3....1..1..1..1....3..3..3..3....3..3..3..3....3..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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