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Number of n X 4 0..3 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..3 introduced in row major order.
1

%I #6 Mar 22 2023 14:35:32

%S 5,196,8319,357943,15484811,671539712,29164866719,1267677501494,

%T 55127359226486,2397991057304305,104327512613317759,

%U 4539326052824027843,197518541157705375152,8594849725702241760851,374004476219684412455327

%N Number of n X 4 0..3 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..3 introduced in row major order.

%C Column 4 of A240774.

%H R. H. Hardin, <a href="/A240772/b240772.txt">Table of n, a(n) for n = 1..193</a>

%e Some solutions for n=3

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

%e ..2..3..3..2....3..2..3..2....3..0..3..0....2..0..3..1....2..0..3..1

%e ..0..3..3..0....1..3..0..3....0..3..0..1....1..2..0..3....1..3..1..3

%Y Cf. A240774.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2014