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A183447 Number of nX6 binary arrays with every 1 having exactly two king-move neighbors equal to 1 1

%I #5 Mar 31 2012 12:35:51

%S 1,69,265,831,9208,53608,257733,1817225,11414889,65073225,412023374,

%T 2584580914,15632039022,96988632570,604295047829,3722359557561,

%U 23052411911880,143185736751014,886632358849607,5495153241025073

%N Number of nX6 binary arrays with every 1 having exactly two king-move neighbors equal to 1

%C Column 6 of A183450

%H R. H. Hardin, <a href="/A183447/b183447.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=8*a(n-1)-7*a(n-2)+68*a(n-3)-653*a(n-4)+32*a(n-5)+485*a(n-6)+14641*a(n-7)-6637*a(n-8)-8411*a(n-9)-106883*a(n-10)-56160*a(n-11)+237056*a(n-12)+223756*a(n-13)+325584*a(n-14)-437989*a(n-15)-356189*a(n-16)-703364*a(n-17)-310700*a(n-18)-8533*a(n-19)+149004*a(n-20)+97683*a(n-21)-213560*a(n-22)-308877*a(n-23)-121132*a(n-24)-130124*a(n-25)-91121*a(n-26)+125661*a(n-27)-25407*a(n-28)-35027*a(n-29)-22817*a(n-30)+17965*a(n-31)-44181*a(n-32)+3667*a(n-33)-1494*a(n-34)-2839*a(n-35)+619*a(n-36)-540*a(n-37)+209*a(n-38)-67*a(n-39)+35*a(n-40)-4*a(n-41)

%e Some solutions for 5X6

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)