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Number of n X 6 0..2 arrays with exactly floor(n X 6/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.
0

%I #7 Jun 09 2023 22:49:57

%S 8,132,3256,88455,2601092,82680222,2808238414,98100073298,

%T 3504105045604,126705958977726,4623105672776524,169550295734980346,

%U 6244500811200885850,230628865248771607224

%N Number of n X 6 0..2 arrays with exactly floor(n X 6/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.

%C Column 6 of A222430.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A222430.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2013