A302621 - OEIS

%I #4 Apr 10 2018 19:11:46

%S 32,169,146,497,2229,9015,36510,150072,606756,2468992,10053705,

%T 40857230,166236741,676221120,2750271178,11187615465,45506216823,

%U 185098331538,752909910881,3062514905153,12457030400283,50670074667584

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A302623.

%H R. H. Hardin, <a href="/A302621/b302621.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +5*a(n-2) +6*a(n-3) -34*a(n-4) -11*a(n-5) +18*a(n-6) +19*a(n-7) +14*a(n-8) +7*a(n-9) -40*a(n-10) +24*a(n-11) -4*a(n-12) -13*a(n-13) +78*a(n-14) -65*a(n-15) -58*a(n-16) +47*a(n-17) -3*a(n-18) +8*a(n-19) +6*a(n-20) -6*a(n-21) for n>27

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302623.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2018