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%I #4 Dec 15 2014 09:50:25
%S 874,1212,1843,3147,5011,8178,14627,26610,50441,99604,200704,417343,
%T 882057,1884329,4067714,8836577,19282718,42207024,92542991,203209693,
%U 446662969,982320854,2161276673,4756530458,10470069046,23049757003
%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7
%C Column 1 of A252219
%H R. H. Hardin, <a href="/A252212/b252212.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) -a(n-2) +14*a(n-3) -14*a(n-4) +9*a(n-5) -90*a(n-6) +14*a(n-7) -80*a(n-8) +274*a(n-9) +109*a(n-10) +389*a(n-11) -303*a(n-12) -261*a(n-13) -785*a(n-14) -134*a(n-15) +86*a(n-16) +331*a(n-17) +164*a(n-18) -349*a(n-19) +742*a(n-20) +953*a(n-21) +2003*a(n-22) -408*a(n-23) -1522*a(n-24) -2586*a(n-25) -75*a(n-26) +1557*a(n-27) +16*a(n-28) -3412*a(n-29) -5380*a(n-30) +872*a(n-31) +8659*a(n-32) +13315*a(n-33) +5226*a(n-34) -7618*a(n-35) -16921*a(n-36) -13179*a(n-37) -564*a(n-38) +10240*a(n-39) +13048*a(n-40) +6865*a(n-41) +383*a(n-42) -4898*a(n-43) -5836*a(n-44) -5619*a(n-45) -2530*a(n-46) +1372*a(n-47) +4502*a(n-48) +4329*a(n-49) +1340*a(n-50) -1580*a(n-51) -2514*a(n-52) -1372*a(n-53) +28*a(n-54) +682*a(n-55) +516*a(n-56) +152*a(n-57) -48*a(n-58) -72*a(n-59) -32*a(n-60) -8*a(n-61) for n>69
%e Some solutions for n=4
%e ..0..1..0....1..1..1....1..2..0....2..0..2....2..1..0....0..3..1....3..3..3
%e ..3..3..3....3..0..0....1..1..2....1..1..1....1..2..1....0..1..2....3..3..3
%e ..1..0..0....0..0..3....2..1..1....1..0..0....1..0..0....1..0..0....2..3..3
%e ..0..0..1....1..3..0....1..1..1....2..0..2....2..1..0....2..0..1....3..3..3
%e ..3..1..0....2..0..1....1..2..1....1..1..2....0..3..1....1..1..2....3..3..3
%e ..1..2..0....1..1..2....1..1..1....0..3..0....1..0..3....1..0..0....3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014
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