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A267914 Number of 3Xn 0..2 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 Jan 22 2016 08:03:03

%S 5,122,2304,47916,878004,16435188,292341636,5209312500,90756319716,

%T 1576811812500,27101734404228,464405881704372,7914055449851172,

%U 134550496512585684,2280733479912724164,38598223339253538036

%N Number of 3Xn 0..2 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 Row 3 of A267911.

%H R. H. Hardin, <a href="/A267914/b267914.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -26*a(n-2) -6768*a(n-3) +39456*a(n-4) +479232*a(n-5) -3704832*a(n-6) -12386304*a(n-7) +115867648*a(n-8) +83886080*a(n-9) -1073741824*a(n-10) for n>12

%e Some solutions for n=4

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

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

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

%Y Cf. A267911.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 22 2016

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Last modified March 28 13:19 EDT 2024. Contains 371254 sequences. (Running on oeis4.)