%I #4 Apr 15 2018 10:46:44
%S 1,12,37,141,569,2262,8968,35667,141839,563967,2242515,8917145,
%T 35457932,140994125,560646436,2229344056,8864721595,35249512434,
%U 140165500184,557351464922,2216241907025,8812622737321,35042347707650,139341733946132
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A302889.
%H R. H. Hardin, <a href="/A302884/b302884.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) +5*a(n-3) -3*a(n-4) -9*a(n-5) -3*a(n-6) -8*a(n-7) +4*a(n-8) +8*a(n-9) +4*a(n-10)
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..1..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1
%e ..1..0..1. .0..0..0. .0..0..1. .0..0..1. .1..1..1. .1..0..0. .0..0..1
%e ..0..0..1. .1..0..0. .0..0..0. .0..0..1. .0..1..0. .0..0..0. .1..0..0
%e ..0..0..1. .0..0..0. .0..0..0. .1..0..0. .0..1..0. .0..0..0. .0..0..1
%Y Cf. A302889.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 15 2018
|