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Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2
1

%I #4 Feb 17 2015 13:23:54

%S 43,49,58,70,88,115,154,211,295,418,598,862,1249,1816,2647,3865,5650,

%T 8266,12100,17719,25954,38023,55711,81634,119626,175306,256909,376504,

%U 551779,808657,1185130,1736878,2545504,3730603,5467450,8012923,11743495

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2

%C Column 4 of A255228

%H R. H. Hardin, <a href="/A255224/b255224.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255228

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2015