login
Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 13 2018 07:41:32

%S 4,32,228,1672,12228,89472,654628,4789672,35044228,256405472,

%T 1876022628,13726153672,100429116228,734802161472,5376271710628,

%U 39336162877672,287807944468228,2105782741357472,15407222208518628,112728863961361672

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A300804.

%H R. H. Hardin, <a href="/A300799/b300799.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +3*a(n-2) -5*a(n-3)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300804.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 13 2018