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A219871 Number of tilings of an 8 X n rectangle using dominoes and straight (3 X 1) trominoes. 2

%I #10 Nov 28 2016 00:38:19

%S 1,4,123,5233,161800,6155230,223026907,8061851335,295743829064,

%T 10750194262698,392127322268846,14301080443962397,521186161714401053,

%U 19005127884701974465,692863015545590519355,25260000472133325186613,920954865421382858310101

%N Number of tilings of an 8 X n rectangle using dominoes and straight (3 X 1) trominoes.

%H Alois P. Heinz, <a href="/A219871/b219871.txt">Table of n, a(n) for n = 0..200</a>

%e a(1) = 4, because there are 4 tilings of an 8 X 1 rectangle using dominoes and straight (3 X 1) trominoes:

%e ._. ._. ._. ._.

%e | | | | | | | |

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

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

%e | | | | | | |_|

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

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

%e | | | | | | | |

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

%Y Column k=8 of A219866.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Nov 30 2012

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Last modified February 24 07:07 EST 2024. Contains 370294 sequences. (Running on oeis4.)