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A230750 Number of (n+3)X(1+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 1

%I #4 Oct 29 2013 10:18:23

%S 12,192,2700,31212,363312,4120752,46949808,532746828,6052341168,

%T 68709570732,780232681452,8858778163392,100588142063808,

%U 1142112286468800,12968074244891052,147244827712021248,1671881661357048300

%N Number of (n+3)X(1+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Column 1 of A230757

%H R. H. Hardin, <a href="/A230750/b230750.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) +18*a(n-2) -330*a(n-3) +381*a(n-4) +1326*a(n-5) -1995*a(n-6) -1701*a(n-7) +2955*a(n-8) +462*a(n-9) -1434*a(n-10) +147*a(n-11) +198*a(n-12) -33*a(n-13) -6*a(n-14) +a(n-15)

%e Some solutions for n=1

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 29 2013

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)