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A232944 Number of nX4 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero 2

%I #4 Dec 02 2013 18:29:37

%S 27,577,13707,328989,7915555,190528543,4586348177,110402289283,

%T 2657600587981,63973693477099,1539973156889093,37070195640900395,

%U 892352830608056783,21480695221316837187,517082762971533490471

%N Number of nX4 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero

%C Column 4 of A232948

%H R. H. Hardin, <a href="/A232944/b232944.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 29*a(n-1) -126*a(n-2) +186*a(n-3) -207*a(n-4) +40*a(n-5) +83*a(n-6) -29*a(n-7) -14*a(n-8) +8*a(n-9) -a(n-10) for n>11

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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