A303680 - OEIS

%I #4 Apr 28 2018 09:22:03

%S 13,49,39,64,110,177,245,335,467,657,949,1391,2035,2937,4221,6079,

%T 8771,12657,18269,26383,38091,54969,79317,114471,165219,238457,344157,

%U 496719,716907,1034681,1493309,2155247,3110611,4489449,6479477,9351631,13496923

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

%C Column 6 of A303682.

%H R. H. Hardin, <a href="/A303680/b303680.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-4) +a(n-7) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303682.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 28 2018