A304219 - OEIS

%I #4 May 08 2018 10:53:28

%S 13,49,56,108,279,740,1628,3759,9029,20849,48072,112793,263016,610412,

%T 1423125,3318263,7722039,17983738,41903265,97586352,227264234,

%U 529380169,1233005995,2871700339,6688659016,15578951215,36284973732,84512326804

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A304221.

%H R. H. Hardin, <a href="/A304219/b304219.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) +2*a(n-4) -3*a(n-5) -4*a(n-6) -3*a(n-7) -2*a(n-8) +3*a(n-9) +3*a(n-10) -3*a(n-11) -a(n-12) +a(n-13) +a(n-14) for n>19

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A304221.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 08 2018