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A207850 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically 1

%I #5 Mar 31 2012 12:37:20

%S 42,1764,6216,35952,185136,1006572,5346600,28935984,154692048,

%T 835671396,4480109592,24171724080,129787001904,699638944620,

%U 3760020085080,20257347370848,108927000309120,586630343266884,3155460147857976

%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically

%C Row 7 of A207845

%H R. H. Hardin, <a href="/A207850/b207850.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +40*a(n-2) -50*a(n-3) -511*a(n-4) +376*a(n-5) +2736*a(n-6) -1247*a(n-7) -7118*a(n-8) +2183*a(n-9) +9712*a(n-10) -2183*a(n-11) -7118*a(n-12) +1247*a(n-13) +2736*a(n-14) -376*a(n-15) -511*a(n-16) +50*a(n-17) +40*a(n-18) -2*a(n-19) -a(n-20) for n>21

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)