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A233154 Number of n X 7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally. 1

%I #8 Oct 08 2018 10:21:03

%S 192,5832,184248,5871528,187446312,5986203912,191184793128,

%T 6106045615848,195014812167432,6228382893621192,198922099117492008,

%U 6353174267751532968,202907688630068868552,6480466044680473473672,206973133655395034550888

%N Number of n X 7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.

%H R. H. Hardin, <a href="/A233154/b233154.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 42*a(n-1) - 351*a(n-2) + 972*a(n-3) - 810*a(n-4).

%F Empirical g.f.: 24*x*(8 - 93*x + 279*x^2 - 270*x^3) / ((1 - 3*x)*(1 - 39*x + 234*x^2 - 270*x^3)). - _Colin Barker_, Oct 08 2018

%e Some solutions for n=2:

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

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

%Y Column 7 of A233155.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 05 2013

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