A228682 - OEIS

%I #7 Sep 02 2013 13:01:23

%S 34,508,8832,152048,2644336,46125216,806190208,14105294112,

%T 246929287360,4324094979072,75733743499264,1326545935320192,

%U 23236786328620160,407043788171511808,7130373880883372800,124906998542616448512

%N Number of nX7 binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally.

%C Column 7 of A228683

%H R. H. Hardin, <a href="/A228682/b228682.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 ..0..0..1..0..1..0..0....0..0..0..0..1..0..0....0..0..1..0..0..0..0

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 30 2013