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A185767 Number of (n+1)X8 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace 1

%I #5 Mar 31 2012 12:36:03

%S 4456,32456,284256,2680000,27172072,278758936,2886249088,29857704328,

%T 309306410040,3201277096848,33150509602128,343172969266424,

%U 3553243907663632,36786039676544160,380867398106326120

%N Number of (n+1)X8 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

%C Column 7 of A185769

%H R. H. Hardin, <a href="/A185767/b185767.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+98*a(n-2)+145*a(n-3)-1606*a(n-4)-1043*a(n-5)+9813*a(n-6)-11042*a(n-7)-14222*a(n-8)+67346*a(n-9)-40216*a(n-10)-64047*a(n-11)+36082*a(n-12)+29210*a(n-13)+8981*a(n-14)-23650*a(n-15)-12520*a(n-16)+7365*a(n-17)+448*a(n-18)-196*a(n-19) for n>24

%e Some solutions for 3X8

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 03 2011

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)