|
%I #4 Feb 26 2018 07:58:23
%S 1,1,16,17,88,209,673,1898,5663,16545,48646,142901,419539,1232678,
%T 3619709,10633075,31228714,91726953,269411911,791311296,2324199617,
%U 6826550249,20050655360,58891959789,172975044139,508055149876
%N Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A300138.
%H R. H. Hardin, <a href="/A300133/b300133.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3) -3*a(n-4) +6*a(n-5) -2*a(n-6) +4*a(n-7) -a(n-8) +2*a(n-9) -2*a(n-10) for n>12
%e Some solutions for n=5
%e ..0..1..1. .0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..1..0. .0..0..1
%e ..1..1..1. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0
%e ..0..1..1. .1..0..1. .1..0..1. .0..0..0. .1..0..0. .1..1..1. .0..0..1
%e ..1..1..1. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0
%e ..0..1..0. .0..0..0. .1..1..1. .1..0..0. .0..0..1. .1..1..0. .0..0..0
%Y Cf. A300138.
%K nonn
%O 1,3
%A _R. H. Hardin_, Feb 26 2018
|
