login
Number of n X n binary arrays with every 1 having exactly one king-move neighbor equal to 1
1

%I #7 Dec 18 2015 18:17:32

%S 1,7,29,361,10459,413450,37904950,6750242518,2166586326637,

%T 1414165738392719,1769976680392262392,4242277623456129400305,

%U 19897602588709306137305059,179960590072630530132741409405

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

%C Diagonal of A183442

%H R. H. Hardin, <a href="/A183434/b183434.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for 3X3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011