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Equals one maps: number of n X 6 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..1 n X 6 array.
1

%I #6 Jun 19 2025 21:01:19

%S 32,1504,64497,2652007,106841503,4239598056,166807007000,

%T 6529331189875,254699982141104,9910761556318406,384907165469846911,

%U 14926115051516165111,578101882311226268847,22367892146863380815542

%N Equals one maps: number of n X 6 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..1 n X 6 array.

%C Column 6 of A220579.

%H R. H. Hardin, <a href="/A220577/b220577.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A220579.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2012