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%I #4 Dec 14 2014 20:44:46
%S 3712,1930,1574,2075,3749,6883,12842,26127,53376,107547,227592,478345,
%T 987231,2115771,4499673,9415660,20325117,43552188,92035081,199645934,
%U 430071873,915400011,1992467987,4308311421,9218109146,20111437177
%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7
%C Column 2 of A252167
%H R. H. Hardin, <a href="/A252161/b252161.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) -a(n-2) +24*a(n-3) -43*a(n-4) +19*a(n-5) -204*a(n-6) +296*a(n-7) -98*a(n-8) +790*a(n-9) -738*a(n-10) +74*a(n-11) -1631*a(n-12) +634*a(n-13) +163*a(n-14) +1958*a(n-15) +201*a(n-16) -173*a(n-17) -1451*a(n-18) -698*a(n-19) -11*a(n-20) +672*a(n-21) +583*a(n-22) +41*a(n-23) -60*a(n-24) -416*a(n-25) -22*a(n-26) -310*a(n-27) +162*a(n-28) +94*a(n-29) +323*a(n-30) +182*a(n-31) -31*a(n-32) -110*a(n-33) -165*a(n-34) -55*a(n-35) for n>42
%e Some solutions for n=4
%e ..3..1..2..1....3..3..1..0....3..3..1..3....3..2..2..3....0..2..2..3
%e ..3..3..0..3....2..2..3..2....2..2..0..2....3..2..2..3....1..3..3..1
%e ..0..0..2..0....2..2..3..2....2..2..3..2....1..3..3..1....3..2..2..3
%e ..0..0..2..0....3..3..1..0....3..3..1..0....3..2..2..3....3..2..2..3
%e ..3..3..0..3....2..2..0..2....2..2..3..2....3..2..2..0....1..3..3..1
%e ..3..1..2..1....2..1..3..2....2..2..3..2....1..3..0..1....3..2..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
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