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A188103 Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock 1

%I #5 Mar 31 2012 12:36:10

%S 17850,2866,4041,5953,8873,10653,11457,12477,14633,17361,20685,25233,

%T 34381,45145,57105,71309,94870,122775,155200,194417,252139,324969,

%U 414279,524585,676957,872342,1116632,1421135,1825426,2345560,3003909,3832777

%N Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

%C Column 7 of A188105

%H R. H. Hardin, <a href="/A188103/b188103.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>17

%e Some solutions for 5X10

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2011

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Last modified September 16 00:43 EDT 2024. Contains 375959 sequences. (Running on oeis4.)