A300367 - OEIS

%I #4 Mar 04 2018 09:06:13

%S 0,1,0,3,3,8,16,32,70,135,293,585,1221,2496,5156,10609,21818,44955,

%T 92476,190459,391929,806935,1660946,3419147,7038323,14488296,29824518,

%U 61393333,126379174,260151058,535522942,1102374986,2269243610,4671246404

%N Number of nX3 0..1 arrays with every element equal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A300372.

%H R. H. Hardin, <a href="/A300367/b300367.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +2*a(n-3) +5*a(n-4) +6*a(n-5) +4*a(n-6) +6*a(n-7) +a(n-8) -a(n-12) +2*a(n-13) -a(n-14)

%e All solutions for n=5

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

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

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

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

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

%Y Cf. A300372.

%K nonn

%O 1,4

%A _R. H. Hardin_, Mar 04 2018