A252400 - OEIS

%I #4 Dec 17 2014 09:51:29

%S 458,293,319,426,631,964,1529,2517,4097,6733,11338,18763,31112,52651,

%T 87448,145315,246213,409305,680501,1153412,1918155,3189604,5407047,

%U 8994424,14957867,25359593,42194737,70176577,118990108,198028549

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

%C Column 1 of A252407

%H R. H. Hardin, <a href="/A252400/b252400.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-3) -39*a(n-6) +55*a(n-9) -59*a(n-12) +40*a(n-15) -10*a(n-18) +2*a(n-21) +a(n-24) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014