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A228688 Number of 7Xn binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally. 1

%I #7 Sep 01 2013 16:28:50

%S 128,577,21305,176032,4008817,44171841,806190208,10258304689,

%T 168184756793,2301665823616,35784406285057,508094306671233,

%U 7692715116119040,111277331056067617,1662525457133097145

%N Number of 7Xn binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally.

%C Row 7 of A228683

%H R. H. Hardin, <a href="/A228688/b228688.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +184*a(n-2) -1201*a(n-3) -7155*a(n-4) +46048*a(n-5) +70745*a(n-6) -591673*a(n-7) -154744*a(n-8) +3207657*a(n-9) -715173*a(n-10) -7580648*a(n-11) +3369552*a(n-12) +7114920*a(n-13) -3800952*a(n-14) -1923264*a(n-15) +1083456*a(n-16)

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 30 2013

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Last modified September 2 21:12 EDT 2024. Contains 375616 sequences. (Running on oeis4.)