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A219868 Number of tilings of a 5 X n rectangle using dominoes and straight (3 X 1) trominoes.

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%I A219868 #9 Dec 07 2012 12:45:27
%S A219868 1,2,15,143,1069,9612,82634,707903,6155230,53074167,458901955,
%T A219868 3968548571,34293794622,296497719200,2563023778341,22155553744380,
%U A219868 191528023181443,1655649630655481,14312296720331975,123722938782920490,1069522524403416934,9245501816227527991
%N A219868 Number of tilings of a 5 X n rectangle using dominoes and straight (3 X 1) trominoes.
%H A219868 Alois P. Heinz, <a href="/A219868/b219868.txt">Table of n, a(n) for n = 0..500</a>
%e A219868 a(2) = 15, because there are 15 tilings of a 5 X 2 rectangle using dominoes and straight (3 X 1) trominoes:
%e A219868 .___.  .___.  .___.  .___.  .___.  .___.  .___.  .___.
%e A219868 | | |  |___|  | | |  |___|  | | |  |___|  | | |  |___|
%e A219868 | | |  |___|  |_|_|  | | |  | | |  |___|  |_|_|  | | |
%e A219868 |_|_|  |___|  |___|  |_|_|  |_|_|  |___|  |___|  |_|_|
%e A219868 | | |  | | |  | | |  | | |  |___|  |___|  |___|  |___|
%e A219868 |_|_|  |_|_|  |_|_|  |_|_|  |___|  |___|  |___|  |___|
%e A219868 .___.  .___.  .___.  .___.  ._._.  ._._.  .___.
%e A219868 | | |  | | |  |___|  |___|  | | |  | | |  |___|
%e A219868 |_|_|  |_|_|  |___|  |___|  |_| |  | |_|  | | |
%e A219868 | | |  | | |  | | |  | | |  | |_|  |_| |  | | |
%e A219868 | | |  |_|_|  | | |  |_|_|  | | |  | | |  |_|_|
%e A219868 |_|_|  |___|  |_|_|  |___|  |_|_|  |_|_|  |___|
%Y A219868 Column k=5 of A219866.
%K A219868 nonn
%O A219868 0,2
%A A219868 _Alois P. Heinz_, Nov 30 2012