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Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0
1

%I #4 Mar 06 2015 11:36:27

%S 1512,8672,58729,327340,1968584,11945779,71461994,428975207,

%T 2589583742,15580188674,93815267630,565153391215,3403888790453,

%U 20499583169858,123476068356687,743701123471477,4479335031465983,26979398514408492

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 and no column sum 0

%C Column 3 of A255783

%H R. H. Hardin, <a href="/A255778/b255778.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A255778/a255778.txt">Empirical recurrence of order 78</a>

%F Empirical recurrence of order 78 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A255783

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015