A187435 - OEIS

A187435

Number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock commuting with any of its horizontal and vertical 2 X 2 subblock neighbors.

%I #7 Nov 12 2022 19:56:03

%S 5344,311730,18257013,1070374436,62735788524,3677337022406,

%T 215547981233289,12634446300216814,740573387875513027,

%U 43409027745399571245,2544438765507573177231,149143369457644414336487

%N Number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock commuting with any of its horizontal and vertical 2 X 2 subblock neighbors.

%C Column 3 of A187441.

%H R. H. Hardin, <a href="/A187435/b187435.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 3 X 4

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

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

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

%Y Cf. A187441.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2011