A228665 - OEIS

%I #7 Sep 02 2013 02:48:11

%S 32,70,2348,11912,203762,1482892,19236832,166237206,1899605260,

%T 17848767224,192044287042,1879682471996,19647967583440,

%U 196172283670342,2022115572124828,20385597248657864,208716533500704978

%N Number of 6Xn binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.

%C Row 6 of A228660

%H R. H. Hardin, <a href="/A228665/b228665.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +88*a(n-2) -138*a(n-3) -1388*a(n-4) +1332*a(n-5) +5911*a(n-6) -2920*a(n-7) -8340*a(n-8) +816*a(n-9) +2232*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 29 2013