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Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum
1

%I #4 Apr 20 2015 13:49:57

%S 220,784,3108,12100,45684,174724,674856,2585664,9853288,37724164,

%T 144911780,555167844,2122710008,8128825600,31164354584,119371632004,

%U 456940637076,1750016785924,6704844968808,25680650841664,98339620401640

%N Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum

%C Column 1 of A257361

%H R. H. Hardin, <a href="/A257354/b257354.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +15*a(n-3) +75*a(n-4) +64*a(n-5) +86*a(n-6) +100*a(n-7) +440*a(n-8) +200*a(n-9) -344*a(n-10) -96*a(n-11) +1200*a(n-12) +800*a(n-13) -384*a(n-15) -256*a(n-16)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A257361

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2015