A303891 - OEIS

%I #4 May 02 2018 08:01:31

%S 1,23,54,271,842,3420,11916,45404,163979,611654,2237701,8282518,

%T 30442766,112364696,413696068,1525420791,5619579530,20713550451,

%U 76324380196,281291917100,1036573413060,3820089888616,14077601589105,51879385009658

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3 or 4 king-move adjacent elements, with upper left element zero.

%C Column 3 of A303896.

%H R. H. Hardin, <a href="/A303891/b303891.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +10*a(n-2) +4*a(n-3) -13*a(n-4) -13*a(n-5) +8*a(n-6) -7*a(n-7) -13*a(n-8) -6*a(n-9) -4*a(n-10) +a(n-11) -5*a(n-12) +2*a(n-13) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303896.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 02 2018