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A184683 Number of (n+1)X7 binary arrays with every 2X2 subblock singular 1

%I #5 Mar 31 2012 12:36:01

%S 1552,45392,909520,21547024,476660624,10876933264,245133874960,

%T 5556396815504,125663816659728,2845061488472976,64387245566119440,

%U 1457456269843957904,32988377007885609744,746694792891303623056

%N Number of (n+1)X7 binary arrays with every 2X2 subblock singular

%C Column 6 of A184686

%H R. H. Hardin, <a href="/A184683/b184683.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=56*a(n-1)-1052*a(n-2)+4920*a(n-3)+87215*a(n-4)-1275080*a(n-5)+4248374*a(n-6)+28043568*a(n-7)-257190864*a(n-8)+336187440*a(n-9)+3401007808*a(n-10)-13508494272*a(n-11)-5065367296*a(n-12)+118586597376*a(n-13)-155918166016*a(n-14)-382474903552*a(n-15)+1052692692992*a(n-16)+138988113920*a(n-17)-2622368481280*a(n-18)+1618343657472*a(n-19)+2637273628672*a(n-20)-2971728347136*a(n-21)-751046754304*a(n-22)+1836551503872*a(n-23)-237498269696*a(n-24)-373930590208*a(n-25)+107911053312*a(n-26)

%e Some solutions for 3X7

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2011

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Last modified April 25 05:56 EDT 2024. Contains 371964 sequences. (Running on oeis4.)