A252012 - OEIS

%I #6 Jun 02 2025 10:42:02

%S 1970,3128,4770,8482,23074,58970,104034,288370,744818,1308322,3648082,

%T 9501482,16654562,46626322,122075402,213680482,599752402,1575429482,

%U 2755215842,7745663122,20388177482,35636762722,100284675922,264307061162

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8.

%C Column 5 of A252015

%H R. H. Hardin, <a href="/A252012/b252012.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +21*a(n-3) -21*a(n-4) -104*a(n-6) +104*a(n-7) for n>16

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014