%I #6 Dec 27 2023 22:45:30
%S 1099,1098,2348,3796,11409,30724,53782,173544,488169,862550,2861114,
%T 8190964,14510150,48759525,140792605,249710691,844670520,2449784273,
%U 4347633163,14756809096,42898150674,76155945522,258954750275
%N Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7.
%C Column 3 of A252423.
%H R. H. Hardin, <a href="/A252418/b252418.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 38*a(n-3) -510*a(n-6) +3209*a(n-9) -10762*a(n-12) +20397*a(n-15) -22122*a(n-18) +13410*a(n-21) -4305*a(n-24) +686*a(n-27) -40*a(n-30) for n>37.
%e Some solutions for n=4
%e ..3..0..1..0..3....3..0..1..3..0....0..0..1..0..0....0..1..0..0..3
%e ..1..1..2..1..1....1..1..2..1..1....0..0..1..0..0....2..0..2..2..0
%e ..0..0..1..0..0....0..0..1..0..3....1..1..2..1..1....2..0..2..2..0
%e ..0..0..1..3..0....0..3..1..0..0....0..0..1..3..0....0..3..0..0..3
%e ..1..1..2..1..1....1..1..2..1..1....0..0..1..0..2....1..0..2..2..0
%e ..3..0..1..0..0....3..0..1..0..3....1..1..2..1..1....2..0..2..2..0
%Y Cf. A252423.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014