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%I #4 Dec 13 2014 06:01:03
%S 2440,2454,2552,3030,6136,10324,14924,28990,52526,86904,166166,299604,
%T 523624,1027446,1865496,3260232,6417036,11920442,21009316,40868422,
%U 76543446,136608534,264978112,496150830,889570920,1728995462,3244530418
%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8
%C Column 2 of A252053
%H R. H. Hardin, <a href="/A252047/b252047.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +21*a(n-3) -12*a(n-4) -31*a(n-5) -170*a(n-6) -29*a(n-7) +374*a(n-8) +665*a(n-9) +1086*a(n-10) -2221*a(n-11) -1299*a(n-12) -6558*a(n-13) +6481*a(n-14) +1496*a(n-15) +17400*a(n-16) -6010*a(n-17) -2977*a(n-18) -19143*a(n-19) -12617*a(n-20) +5757*a(n-21) -1880*a(n-22) +31541*a(n-23) +1574*a(n-24) +20947*a(n-25) -9726*a(n-26) -17177*a(n-27) -16180*a(n-28) -21803*a(n-29) +10851*a(n-30) +6986*a(n-31) +14359*a(n-32) +10348*a(n-33) -1558*a(n-34) -2686*a(n-35) -9514*a(n-36) -2084*a(n-37) +2152*a(n-38) -930*a(n-39) +1144*a(n-40) +1090*a(n-41) +1536*a(n-42) -120*a(n-43) -1024*a(n-44) -180*a(n-45) +120*a(n-47) for n>54
%e Some solutions for n=4
%e ..0..3..1..3....0..1..1..3....0..3..2..2....0..3..2..2....2..1..1..0
%e ..1..1..2..1....1..2..2..1....2..1..1..0....0..1..1..3....2..2..1..1
%e ..1..1..2..1....3..1..1..0....0..3..2..2....0..0..2..2....3..2..2..1
%e ..0..3..1..0....3..1..1..3....2..1..1..3....2..1..1..0....0..0..2..2
%e ..1..1..2..1....1..2..2..1....3..0..2..2....0..3..2..2....1..3..0..2
%e ..1..1..2..1....3..1..1..3....0..1..1..0....2..1..1..3....1..1..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 13 2014
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