A206210 - OEIS

A206210

Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order.

%I #7 Mar 22 2023 14:45:05

%S 162,336,760,2224,5632,14416,40032,101376,259488,720576,1824768,

%T 4670784,12970368,32845824,84074112,233466624,591224832,1513334016,

%U 4202399232,10642046976,27240012288,75643186176,191556845568,490320221184

%N Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order.

%C Column 3 of A206215.

%H R. H. Hardin, <a href="/A206210/b206210.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-3) for n>6.

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A206215.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2012