A304144 - OEIS

%I #4 May 07 2018 08:52:05

%S 1,14,18,25,113,238,359,1309,3091,5173,15475,39432,72084,189527,

%T 495712,981404,2379279,6211445,13097776,30387724,77976438,172291180,

%U 391956305,983542082,2243798047,5079682165,12475410712,29036847557,65931275352

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A304149.

%H R. H. Hardin, <a href="/A304144/b304144.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +11*a(n-3) -5*a(n-4) -39*a(n-5) -29*a(n-6) +4*a(n-7) +42*a(n-8) +15*a(n-9) +12*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304149.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 07 2018