A304771 - OEIS

%I #4 May 18 2018 08:12:16

%S 8,49,67,172,443,1094,2710,6861,17205,43090,108354,272151,683041,

%T 1715450,4308348,10818085,27165863,68220510,171312464,430193109,

%U 1080297705,2712821764,6812367886,17107084553,42958966889,107877614976,270899989904

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304775.

%H R. H. Hardin, <a href="/A304771/b304771.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304775.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 18 2018