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A268094 Number of 2 X n 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero. 1

%I #8 Jan 11 2019 15:23:14

%S 3,27,243,2028,16428,129792,1009200,7756992,59140800,448278528,

%T 3383655168,25462705152,191189978112,1433272320000,10732091092992,

%U 80291457712128,600321157939200,4486422252748800,33517530883227648

%N Number of 2 X n 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero.

%H R. H. Hardin, <a href="/A268094/b268094.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) - 44*a(n-2) - 88*a(n-3) + 352*a(n-4) + 320*a(n-5) - 256*a(n-6).

%F Empirical g.f.: 3*x*(1 - 5*x - x^2 + 26*x^3 + 16*x^4 - 16*x^5) / ((1 + 2*x)*(1 - 4*x)*(1 - 8*x + 4*x^2)*(1 - 4*x - 8*x^2)). - _Colin Barker_, Jan 11 2019

%e Some solutions for n=4:

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

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

%Y Row 2 of A268092.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 26 2016

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Last modified July 12 06:08 EDT 2024. Contains 374237 sequences. (Running on oeis4.)