A183439 - OEIS

%I #5 Mar 31 2012 12:35:51

%S 9,149,751,6392,56472,413450,3352423,27025949,212040472,1694099411,

%T 13495015207,107114515475,852810786694,6784375565061,53949128904820,

%U 429213532471317,3414173807924736,27156955992465880,216027779239218668

%N Number of nX6 binary arrays with every 1 having exactly one king-move neighbor equal to 1

%C Column 6 of A183442

%H R. H. Hardin, <a href="/A183439/b183439.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)+16*a(n-2)+246*a(n-3)+193*a(n-4)+69*a(n-5)-10142*a(n-6)-8580*a(n-7)-7271*a(n-8)+154606*a(n-9)+125269*a(n-10)+77020*a(n-11)-1099014*a(n-12)-575139*a(n-13)-686483*a(n-14)+3661102*a(n-15)+1412727*a(n-16)+1937644*a(n-17)-6165206*a(n-18)-1730990*a(n-19)-2263587*a(n-20)+6096896*a(n-21)+704037*a(n-22)+786533*a(n-23)-3410935*a(n-24)-236810*a(n-25)+343555*a(n-26)+679458*a(n-27)+28058*a(n-28)-75003*a(n-29)-46332*a(n-30)

%e Some solutions for 3X6

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2011