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A233225 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order 1

%I #4 Dec 06 2013 06:07:50

%S 6,174,8231,420948,21895530,1142726121,59679029456,3117164734533,

%T 162820623245643,8504746957840386,444236096357832461,

%U 23204188477204907670,1212045554583039193836,63309882191615788539747

%N Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order

%C Column 3 of A233230

%H R. H. Hardin, <a href="/A233225/b233225.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 66*a(n-1) -748*a(n-2) +1422*a(n-3) +5006*a(n-4) -16598*a(n-5) +10288*a(n-6) +8658*a(n-7) -10189*a(n-8) +2228*a(n-9) -132*a(n-10)

%e Some solutions for n=3

%e ..0..0..1....0..1..5....0..0..1....0..1..2....0..1..2....0..1..2....0..1..1

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

%e ..1..2..2....3..1..2....0..1..5....2..2..0....2..0..1....0..3..3....1..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2013

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)