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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A219974 Number of tilings of a 10 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles.

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%I A219974 #7 Dec 07 2012 12:51:16
%S A219974 1,0,7,58,286,3068,29876,214485,1910822,17671945,141365332,1225043571,
%T A219974 10871708273,90688536786,781019641877,6800784990468,57716277595775,
%U A219974 496096480109463,4284929501626939,36621478929328140,314572431365390797,2707867101849205129
%N A219974 Number of tilings of a 10 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles.
%e A219974 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 A219974 .___.   .___.   .___.   .___.   .___.   .___.   .___.
%e A219974 |   |   |   |   |   |   | | |   |   |   | | |   | | |
%e A219974 |___|   |___|   |___|   | | |   |___|   | | |   | | |
%e A219974 |   |   |   |   | | |   |_|_|   | | |   |_|_|   |_|_|
%e A219974 |___|   |___|   | | |   |   |   | | |   |   |   | | |
%e A219974 |   |   | | |   |_|_|   |___|   |_|_|   |___|   | | |
%e A219974 |___|   | | |   |   |   |   |   | | |   | | |   |_|_|
%e A219974 |   |   |_|_|   |___|   |___|   | | |   | | |   |   |
%e A219974 |___|   | | |   | | |   | | |   |_|_|   |_|_|   |___|
%e A219974 |   |   | | |   | | |   | | |   |   |   |   |   |   |
%e A219974 |___|   |_|_|   |_|_|   |_|_|   |___|   |___|   |___|
%Y A219974 Column k=10 of A219967.
%K A219974 nonn
%O A219974 0,3
%A A219974 _Alois P. Heinz_, Dec 02 2012