A300684 - OEIS

%I #4 Mar 11 2018 08:47:57

%S 1,10,53,272,1391,7187,37100,191529,988754,5104580,26353052,136051331,

%T 702383958,3626156187,18720542075,96647438007,498956024752,

%U 2575930831916,13298606130275,68655929293704,354445915677949,1829877017719215

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A300689.

%H R. H. Hardin, <a href="/A300684/b300684.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300689.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 11 2018