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Number of tilings of a 5 X n rectangle using integer-sided rectangular tiles of equal area.
2

%I #13 Sep 05 2021 19:14:55

%S 1,2,11,7,115,4,1225,7,15242,134,185941,14,2342936,23,29253223,3685,

%T 367191322,63,4602885566,109,57743314072,109863,724240366265,328,

%U 9084849245294,575,113956161829517,3301910,1429442003678258,1760,17930520656581330,3087

%N Number of tilings of a 5 X n rectangle using integer-sided rectangular tiles of equal area.

%H Alois P. Heinz, <a href="/A220771/b220771.txt">Table of n, a(n) for n = 0..1000</a>

%e a(3) = 7:

%e ._____. ._____. ._____. ._____. ._____. ._____. ._____.

%e | | | | | | |_____| |_____| |_____| | | | | |_|_|_|

%e | | | | | | |_____| |_____| | | | | | | | | |_|_|_|

%e | | | | | | |_____| | | | | | | | | |_|_|_| |_|_|_|

%e | | | | | | |_____| | | | | |_|_|_| |_____| |_|_|_|

%e |_____| |_|_|_| |_____| |_|_|_| |_____| |_____| |_|_|_|

%Y Column k=5 of A220777.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Dec 19 2012