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Number of 2 X n 0..n arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.
2

%I #9 Oct 28 2023 11:32:02

%S 2,14,159,3183,88243,3222467,147078491,8136718923,533120818425,

%T 40652888444126,3558115295935814,353411626588934284,

%U 39458109882401312523,4911875879772046994711,676928473660605019065934,102642489163273137689732441,17030004137426738243093254421

%N Number of 2 X n 0..n arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

%C Row 2 of A268009.

%H R. H. Hardin, <a href="/A268011/b268011.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for n=5:

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

%e ..2..2..1..3..2....2..3..3..2..4....2..0..3..1..2....1..2..0..2..0

%Y Cf. A268009.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 24 2016