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Number of nX6 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or antidiagonally.
1

%I #7 Sep 01 2013 18:27:08

%S 8,41,386,3084,25699,211588,1748684,14433982,119188751,984088952,

%T 8125411159,67089476825,553940891394,4573752281524,37764327367307,

%U 311810620896975,2574542371273857,21257353083201847,175516652771106311

%N Number of nX6 binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or antidiagonally.

%C Column 6 of A228482

%C Same recurrences as A228285 except in addition a smaller one for column 5

%H R. H. Hardin, <a href="/A228480/b228480.txt">Table of n, a(n) for n = 1..210</a>

%F a(n) = a(n-1) +42*a(n-2) +147*a(n-3) +70*a(n-4) -478*a(n-5) -449*a(n-6) +1199*a(n-7) +732*a(n-8) -2727*a(n-9) +659*a(n-10) +3827*a(n-11) -5776*a(n-12) +3926*a(n-13) -1152*a(n-14) -148*a(n-15) +154*a(n-16) +32*a(n-17) -29*a(n-18) -6*a(n-19) +3*a(n-20) +a(n-21)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 22 2013