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Number of n X n 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.
0

%I #6 Apr 20 2020 19:45:45

%S 1,8,108,3143,80404,5663798,264709135,46354321490,3947286385526,

%T 1938755845909663

%N Number of n X n 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

%C Diagonal of A267667.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A267667.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 19 2016