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A208106 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically 1

%I #5 Mar 31 2012 12:37:21

%S 25,625,2209,9025,46225,261121,1600225,10220809,67158025,448380625,

%T 3024450025,20525433289,139828879969,954796716769,6529082812849,

%U 44686751584225,306015929742721,2096314482667729,14363485816713121

%N Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically

%C Column 6 of A208108

%H R. H. Hardin, <a href="/A208106/b208106.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -17*a(n-2) -124*a(n-3) +276*a(n-4) +396*a(n-5) -902*a(n-6) -462*a(n-7) +946*a(n-8) +220*a(n-9) -340*a(n-10) -44*a(n-11) +39*a(n-12) +3*a(n-13) -a(n-14) for n>15

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2012

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Last modified April 19 02:26 EDT 2024. Contains 371782 sequences. (Running on oeis4.)