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%I #4 Dec 08 2014 10:12:53
%S 2402,12242,43778,144818,748002,2861058,9758786,51133714,198564354,
%T 686684594,3603903074,14088001090,48981683138,257125287186,
%U 1008045990530,3513119136818,18441418806242,72394912324098,252574488177986
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 3 or 6 and every diagonal and antidiagonal sum not 3 or 6
%C Column 3 of A251779
%H R. H. Hardin, <a href="/A251774/b251774.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +136*a(n-3) -136*a(n-4) -5887*a(n-6) +5887*a(n-7) +101320*a(n-9) -101320*a(n-10) -666383*a(n-12) +666383*a(n-13) +315640*a(n-15) -315640*a(n-16) +12897775*a(n-18) -12897775*a(n-19) -37245000*a(n-21) +37245000*a(n-22) -21768000*a(n-24) +21768000*a(n-25) +138816000*a(n-27) -138816000*a(n-28) -27648000*a(n-30) +27648000*a(n-31)
%e Some solutions for n=4
%e ..2..0..1..2..3....2..1..3..2..1....0..3..0..3..3....1..0..2..1..0
%e ..1..0..2..1..3....1..2..0..1..2....1..0..2..1..0....2..3..1..2..0
%e ..0..3..3..0..0....0..0..3..0..0....2..3..1..2..0....3..0..0..3..3
%e ..2..0..1..2..0....2..1..0..2..1....3..3..0..0..3....1..0..2..1..3
%e ..1..3..2..1..3....1..2..3..1..2....1..0..2..1..0....2..3..1..2..0
%e ..3..3..0..0..3....3..3..0..0..3....2..0..1..2..0....0..0..3..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2014
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