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Number of tilings of a 7 X n rectangle using integer-sided rectangular tiles of equal area.
2

%I #8 Sep 05 2021 19:14:06

%S 1,2,24,12,850,7,31777,4,1300180,2877,53175580,9,2189911837,11,

%T 90124167476,972776,3710809418140,25,152783310505831,38,

%U 6290664383805343,329097191,259009513044646014,86,10664385331038730694,8709,439092316687230373634,111328277385

%N Number of tilings of a 7 X n rectangle using integer-sided rectangular tiles of equal area.

%H Alois P. Heinz, <a href="/A220773/b220773.txt">Table of n, a(n) for n = 0..300</a>

%e a(5) = 7:

%e ._________. ._________. ._________. ._________.

%e | | | | | | | | |_________| |_________|

%e | | | | | | | | |_________| | | | | | |

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

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

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

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

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

%e ._________. ._________. ._________.

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

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

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

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

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

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

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

%Y Column k=7 of A220777.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Dec 19 2012