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Number of (n+1) X (n+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases.
1

%I #8 Mar 09 2023 17:40:20

%S 81,270,750,2244,4944,11712,35904,79104,187392,574464,1265664,2998272,

%T 9191424,20250624,47972352,147062784,324009984,767557632,2353004544,

%U 5184159744,12280922112,37648072704,82946555904,196494753792

%N Number of (n+1) X (n+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases.

%C Diagonal of A207050.

%H R. H. Hardin, <a href="/A207042/b207042.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A207050.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2012