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Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.
1

%I #7 May 16 2023 15:18:22

%S 39669,1867746,90762504,4174580535,194940928754,9133561570280,

%T 426401340094121,19922093313706046,931060788375397137,

%U 43503293047329197442,2032740835032472249312,94984324830365945437582

%N Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

%C Column 2 of A204314.

%H R. H. Hardin, <a href="/A204311/b204311.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A204314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 14 2012