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%I #4 Dec 17 2014 10:51:12
%S 2710,3057,8430,26396,85563,284379,920196,3034712,10150190,32981888,
%T 109313690,367179617,1196198109,3973075534,13372395915,43629651855,
%U 145063217940,488756887882,1595876309500,5308954135554,17896924979161
%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7
%C Column 5 of A252433
%H R. H. Hardin, <a href="/A252430/b252430.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 65*a(n-3) -1346*a(n-6) +14551*a(n-9) -142463*a(n-12) +945759*a(n-15) -5359380*a(n-18) +23399740*a(n-21) -81528617*a(n-24) +240197408*a(n-27) -492217707*a(n-30) +659468385*a(n-33) -577961640*a(n-36) -162829108*a(n-39) +1334618538*a(n-42) -887249897*a(n-45) -825324337*a(n-48) +774899953*a(n-51) +392763486*a(n-54) -500898752*a(n-57) +10723283*a(n-60) +146183542*a(n-63) -52290600*a(n-66) +3131208*a(n-69) +2053207*a(n-72) -4015872*a(n-75) +1555793*a(n-78) -209323*a(n-81) +73854*a(n-84) +1232*a(n-87) -912*a(n-90) -44*a(n-93) -6*a(n-96) +a(n-99) for n>101
%e Some solutions for n=4
%e ..3..2..2..3..2..2..3....2..2..3..2..2..3..2....2..2..3..2..2..3..2
%e ..2..3..2..2..3..2..2....1..0..3..1..0..3..1....0..2..2..3..2..2..0
%e ..0..3..1..0..3..1..0....2..3..2..2..3..2..2....3..1..3..3..1..3..3
%e ..3..2..2..3..2..2..3....2..2..3..2..2..3..2....2..2..3..2..2..0..2
%e ..2..3..2..2..3..2..2....1..3..3..1..3..3..1....0..2..2..3..2..2..3
%e ..3..3..1..3..0..1..3....2..0..2..2..3..2..2....3..1..3..3..1..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014