A318093 - OEIS

%I #4 Aug 16 2018 10:27:53

%S 1,16,45,220,795,3310,12774,51298,201637,802119,3169137,12571062,

%T 49748730,197152806,780649100,3092658411,12248195877,48517164179,

%U 192162096401,761151962411,3014780751286,11941310147017,47297795017905

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A318098.

%H R. H. Hardin, <a href="/A318093/b318093.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-2) +18*a(n-3) -23*a(n-4) -69*a(n-5) -69*a(n-6) -38*a(n-7) +82*a(n-8) +261*a(n-9) +101*a(n-10) -10*a(n-11) -20*a(n-12) -112*a(n-13) -112*a(n-14) -90*a(n-15) -24*a(n-16) -12*a(n-17) +4*a(n-18) +4*a(n-19) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318098.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 16 2018