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A233080 Number of n X 6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order. 1

%I #8 Oct 07 2018 08:36:19

%S 122,32414,8662343,2315298290,618844579511,165407945648306,

%T 44211082661517335,11816964557611382642,3158498796072853930295,

%U 844219731401266443119474,225647372661155279429241623

%N Number of n X 6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

%H R. H. Hardin, <a href="/A233080/b233080.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 283*a(n-1) - 4251*a(n-2) + 13573*a(n-3) - 9604*a(n-4).

%F Empirical g.f.: x*(122 - 2112*x + 7803*x^2 - 8771*x^3) / ((1 - x)*(1 - 282*x + 3969*x^2 - 9604*x^3)). - _Colin Barker_, Oct 07 2018

%e Some solutions for n=2:

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

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

%Y Column 6 of A233082.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)