%I #4 Dec 19 2014 10:26:07

%S 1042,2817,7031,17762,58239,156499,437805,1506801,4136820,11865455,

%T 41976597,116407007,337378745,1211267119,3374947162,9828010763,

%U 35545348591,99260624406,289689365514,1051432471689,2939191705954

%N Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

%C Row 3 of A252615

%H R. H. Hardin, <a href="/A252618/b252618.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 64*a(n-3) -1475*a(n-6) +16806*a(n-9) -109891*a(n-12) +449148*a(n-15) -1217688*a(n-18) +2303890*a(n-21) -3171129*a(n-24) +3207942*a(n-27) -2291813*a(n-30) +1076912*a(n-33) -308227*a(n-36) +49142*a(n-39) -3776*a(n-42) +96*a(n-45) for n>48

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014