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A268420 Number of nX2 0..3 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. 1

%I #4 Feb 04 2016 09:51:17

%S 2,15,187,2530,34195,448667,5720450,71224847,869969995,10461568690,

%T 124193817155,1458609678443,16976365857602,196066210076847,

%U 2249518678962747,25662410911209090,291308117338854611

%N Number of nX2 0..3 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 Column 2 of A268423.

%H R. H. Hardin, <a href="/A268420/b268420.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33*a(n-1) -389*a(n-2) +1865*a(n-3) -2461*a(n-4) -3639*a(n-5) +7361*a(n-6) +2407*a(n-7) -5491*a(n-8) -585*a(n-9) +981*a(n-10) -81*a(n-11)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A268423.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2016

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)