A183446 - OEIS

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

%S 1,33,107,283,2054,9208,34867,176949,833001,3619285,16979210,79536106,

%T 362125386,1678147584,7816357207,36107427015,167380756056,

%U 778109691292,3610178963149,16759752441151,77893373268254,361906632299828

%N Number of nX5 binary arrays with every 1 having exactly two king-move neighbors equal to 1

%C Column 5 of A183450

%H R. H. Hardin, <a href="/A183446/b183446.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=6*a(n-1)-4*a(n-2)+26*a(n-3)-181*a(n-4)-17*a(n-5)+101*a(n-6)+1148*a(n-7)-826*a(n-8)+575*a(n-9)-429*a(n-10)-160*a(n-11)-83*a(n-12)-913*a(n-13)-799*a(n-14)+405*a(n-15)+185*a(n-16)+74*a(n-17)-8*a(n-18)-33*a(n-19)+6*a(n-20)

%e Some solutions for 7X5

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011