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A207759 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:19

%S 13,169,493,1664,6552,21547,67330,217902,687672,2108870,6459569,

%T 19653779,59068262,176517135,525307673,1554420841,4579979219,

%U 13453583712,39397940890,115063670433,335345658200,975522972020,2833090734366

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 5 of A207762

%H R. H. Hardin, <a href="/A207759/b207759.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -18*a(n-2) +42*a(n-3) -135*a(n-4) +245*a(n-5) -331*a(n-6) +828*a(n-7) -1162*a(n-8) +899*a(n-9) -2506*a(n-10) +2983*a(n-11) -933*a(n-12) +5079*a(n-13) -5361*a(n-14) -397*a(n-15) -7067*a(n-16) +6470*a(n-17) +2910*a(n-18) +6260*a(n-19) -5476*a(n-20) -3504*a(n-21) -3776*a(n-22) +3472*a(n-23) +1984*a(n-24) +1120*a(n-25) -1184*a(n-26) -576*a(n-27) -128*a(n-28) +256*a(n-29) for n>31

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)