login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

1/3 the number of n X 6 0..2 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.
1

%I #9 Sep 03 2022 20:32:38

%S 11,2768,269496,30132444,3228500154,353403366772,38323943289566,

%T 4170998760222200,453352604882802786,49299729427562107330,

%U 5360092608575438753444,582815441403601709584574

%N 1/3 the number of n X 6 0..2 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors.

%C Column 6 of A185559.

%H R. H. Hardin, <a href="/A185556/b185556.txt">Table of n, a(n) for n = 1..27</a>

%e Some solutions for 4 X 6 with a(1,1)=0

%e ..0..0..1..0..0..2....0..0..2..2..1..1....0..0..0..2..1..1....0..0..0..0..2..2

%e ..0..1..1..2..0..2....0..1..1..1..2..2....0..1..1..2..2..1....0..1..1..1..0..0

%e ..0..0..2..2..0..1....0..0..0..1..2..2....0..0..1..1..2..1....0..0..2..0..2..2

%e ..1..1..1..1..0..1....1..1..1..0..0..0....1..1..0..0..2..2....1..1..2..0..0..2

%Y Cf. A185559.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2011