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Number of tilings of a 6 X n rectangle using integer-sided rectangular tiles of area 6.
2

%I #11 Sep 05 2021 19:17:51

%S 1,1,2,4,7,13,46,88,209,473,1002,2120,5197,11085,25384,57234,126959,

%T 279883,640387,1412460,3182794,7138463,15963680,35593612,80143244,

%U 178644947,400681480,897313564,2008904252,4492651815,10074017008,22526314856,50459193392

%N Number of tilings of a 6 X n rectangle using integer-sided rectangular tiles of area 6.

%H Alois P. Heinz, <a href="/A220124/b220124.txt">Table of n, a(n) for n = 0..1000</a>

%e a(4) = 7, because there are 7 tilings of a 6 X 4 rectangle using integer-sided rectangular tiles of area 6:

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

%e | | | | | | | | | | | | | | | | | | | | | | | | | |

%e | | | | | | | | | | | | | | | | | | | | | | | | | |

%e | | | | | |___| | | | |___| | | | |___| |___|___| |_____| | | |_____|

%e | | | | | | | | | | | | | | | | | | | | | | | | | |

%e | | | | | | | | | | | | | | | | | | | | | | | | | |

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

%Y Column k=6 of A220122.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Dec 05 2012