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A228800 Number of 5Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. 1

%I #8 Sep 07 2013 13:48:52

%S 16,34,672,3588,37944,272952,2404290,19027372,158932704,1292370748,

%T 10646457736,87161916810,715678163448,5868359033672,48149246648488,

%U 394944749457192,3239968946054026,26577801888192248,218026471167729272

%N Number of 5Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.

%C Row 5 of A228796

%H R. H. Hardin, <a href="/A228800/b228800.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +49*a(n-2) +107*a(n-3) -154*a(n-4) -404*a(n-5) +250*a(n-6) +472*a(n-7) -278*a(n-8) -168*a(n-9) +131*a(n-10) -9*a(n-11) -7*a(n-12) +a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 04 2013

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Last modified June 8 18:04 EDT 2023. Contains 363165 sequences. (Running on oeis4.)