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%I #7 Dec 07 2012 12:51:16
%S 1,0,7,58,286,3068,29876,214485,1910822,17671945,141365332,1225043571,
%T 10871708273,90688536786,781019641877,6800784990468,57716277595775,
%U 496096480109463,4284929501626939,36621478929328140,314572431365390797,2707867101849205129
%N Number of tilings of a 10 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles.
%e a(2) = 7, because there are 7 tilings of a 10 X 2 rectangle using straight (3 X 1) trominoes and 2 X 2 tiles:
%e .___. .___. .___. .___. .___. .___. .___.
%e | | | | | | | | | | | | | | | | |
%e |___| |___| |___| | | | |___| | | | | | |
%e | | | | | | | |_|_| | | | |_|_| |_|_|
%e |___| |___| | | | | | | | | | | | | |
%e | | | | | |_|_| |___| |_|_| |___| | | |
%e |___| | | | | | | | | | | | | | |_|_|
%e | | |_|_| |___| |___| | | | | | | | |
%e |___| | | | | | | | | | |_|_| |_|_| |___|
%e | | | | | | | | | | | | | | | | |
%e |___| |_|_| |_|_| |_|_| |___| |___| |___|
%Y Column k=10 of A219967.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Dec 02 2012
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