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Number of (n+2)X(1+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5
1

%I #5 Dec 12 2014 08:45:24

%S 2735,20011,151635,1182549,9375901,75153161,607579255,4944443285,

%T 40443930239,332131192315,2735841001847,22588518781409,

%U 186835789553003,1547470411052649,12830167435737421,106458740090742571

%N Number of (n+2)X(1+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 or 5

%C Column 1 of A251989

%H R. H. Hardin, <a href="/A251985/b251985.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014