A228659 - OEIS

%I #7 Sep 02 2013 02:47:25

%S 13,194,3556,62368,1096624,19236832,337258048,5910459096,103561279328,

%T 1814380139952,31785935283840,556837728488064,9754730426036000,

%U 170882696555044928,2993497165464775680,52439495408779417216

%N Number of nX7 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.

%C Column 7 of A228660

%H R. H. Hardin, <a href="/A228659/b228659.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -226*a(n-2) -108*a(n-3) +4324*a(n-4) -1612*a(n-5) -27016*a(n-6) -2240*a(n-7) +50112*a(n-8) +20032*a(n-9) -16768*a(n-10) -4864*a(n-11) +2048*a(n-12)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 29 2013