A302006 - OEIS

%I #4 Mar 30 2018 12:50:09

%S 8,128,1808,25808,368144,5251712,74917424,1068722240,15245681888,

%T 217484775440,3102493407248,44258111045072,631356826964288,

%U 9006517303652528,128480995970256128,1832824583461859168

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302010.

%H R. H. Hardin, <a href="/A302006/b302006.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +18*a(n-2) +a(n-3) -4*a(n-4)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302010.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2018