%I
%S 4,29,160,925,5363,31106,180397,1046223,6067629,35189573,204083997,
%T 1183597158,6864341406,39810152164,230881321531,1339009818730,
%U 7765666285883,45037438874738,261197278600938,1514828996788371
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300472.
%H R. H. Hardin, <a href="/A300467/b300467.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -a(n-2) -a(n-3) +a(n-4) -4*a(n-5) +a(n-6) -a(n-7)
%e Some solutions for n=5
%e ..0..0..0. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..0
%e ..1..1..1. .1..0..1. .0..1..1. .1..1..0. .1..1..0. .0..0..1. .0..1..1
%e ..0..0..0. .0..1..0. .0..0..0. .0..0..1. .1..1..0. .1..1..0. .0..0..1
%e ..1..1..1. .0..0..1. .0..1..0. .1..0..1. .0..0..1. .0..1..0. .0..0..0
%e ..1..0..1. .0..1..1. .0..1..1. .0..1..0. .1..0..1. .1..0..1. .1..1..1
%Y Cf. A300472.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 06 2018
|