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

%I #8 Apr 23 2021 11:56:39

%S 1552,2454,2674,6562,53346,233342,658902,16790430,127185206,456725582,

%T 51136630446,621643287922,2444602604514,1337470437403802,

%U 25734548246817278,104979871659360990,256731178514562552110

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

%C Diagonal of A252053.

%H R. H. Hardin, <a href="/A252045/b252045.txt">Table of n, a(n) for n = 1..18</a>

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A252053.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014