A252611 - OEIS

%I #4 Dec 19 2014 10:21:15

%S 3235,6019,17762,43595,174803,617798,1597203,6498007,23325496,

%T 60375689,244646507,882016384,2281459715,9221889835,33378653472,

%U 86302253259,348152552483,1264944161008,3269335175355,13163856447619,48000565425360

%N Number of (n+2)X(4+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 Column 4 of A252615

%H R. H. Hardin, <a href="/A252611/b252611.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 82*a(n-3) -2013*a(n-6) +14952*a(n-9) -82100*a(n-12) +331384*a(n-15) -672832*a(n-18) +609568*a(n-21) -210304*a(n-24) +11264*a(n-27) for n>35

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014