A299809 - OEIS

%I #4 Feb 19 2018 15:35:01

%S 3,4,12,43,91,519,1721,5886,24858,89458,331545,1293081,4800200,

%T 18085436,68906303,258751342,977403762,3699805618,13947688934,

%U 52692144086,199113543247,751576314916,2838921851835,10723095436605,40491350276075

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299814.

%H R. H. Hardin, <a href="/A299809/b299809.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) +17*a(n-3) -59*a(n-4) -28*a(n-5) -32*a(n-6) +159*a(n-7) +115*a(n-8) +5*a(n-9) -25*a(n-10) -90*a(n-11) -105*a(n-12) -175*a(n-13) +66*a(n-14) +5*a(n-15) +8*a(n-16) +6*a(n-17) for n>18

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299814.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2018