A252549 - OEIS

%I #4 Dec 18 2014 09:15:16

%S 33852,881848,15204660,84935088,2316305760,38252054800,267361717440,

%T 7328287959424,113662014539328,959873651073792,26099107508602368,

%U 383791130745121024,3685070395096108032,99395569675974350848

%N Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7

%C Row 6 of A252544

%H R. H. Hardin, <a href="/A252549/b252549.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7180*a(n-3) -14766112*a(n-6) +8766324736*a(n-9) -103548977152*a(n-12) +274877906944*a(n-15)

%e Some solutions for n=1

%e ..0..1..0....1..3..0....3..3..1....1..3..3....1..0..0....3..0..1....0..0..1

%e ..2..2..0....0..1..0....1..3..0....2..0..2....0..1..3....0..2..2....1..0..3

%e ..3..2..2....1..1..2....1..2..1....2..2..0....1..1..2....2..0..2....1..2..1

%e ..3..1..3....1..0..3....0..3..1....1..0..0....1..3..3....0..0..1....3..0..1

%e ..2..2..0....0..1..0....1..3..3....2..0..2....3..1..0....3..2..2....1..0..0

%e ..0..2..2....1..1..2....1..2..1....2..2..0....1..1..2....2..3..2....1..2..1

%e ..0..1..0....1..3..3....0..3..1....1..0..3....1..0..3....0..0..1....0..3..1

%e ..2..2..3....3..1..3....1..3..3....2..0..2....0..1..3....0..2..2....1..3..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014