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A267639 Number of nX3 0..1 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. 1

%I

%S 3,18,51,189,429,1353,2829,8427,16899,49443,96657,282717,542913,

%T 1601355,3032535,9058395,16953333,51380925,95168013,292791555,

%U 537249507,1677388467,3051796161,9662000493,17443801617,55944191787,100303228599

%N Number of nX3 0..1 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 Column 3 of A267644.

%H R. H. Hardin, <a href="/A267639/b267639.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +16*a(n-2) -33*a(n-3) -91*a(n-4) +198*a(n-5) +216*a(n-6) -523*a(n-7) -180*a(n-8) +576*a(n-9) -180*a(n-11)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A267644.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2016

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Last modified July 4 11:49 EDT 2022. Contains 355075 sequences. (Running on oeis4.)