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Number of tilings of a 10 X n rectangle using integer-sided rectangular tiles of area 10.
2

%I #12 Sep 06 2021 01:45:32

%S 1,1,2,3,5,9,15,26,44,75,254,470,1130,2150,4369,8889,17112,33235,

%T 62619,117687,259213,500978,1073742,2114851,4334588,8817832,17673956,

%U 35420952,69871967,137274169,281650158,556043329,1139084899,2264971273,4589226181,9256382600

%N Number of tilings of a 10 X n rectangle using integer-sided rectangular tiles of area 10.

%H Alois P. Heinz, <a href="/A220127/b220127.txt">Table of n, a(n) for n = 0..100</a>

%e a(4) = 5, because there are 5 tilings of a 10 X 4 rectangle using integer-sided rectangular tiles of area 10:

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

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

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

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

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

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

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

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

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

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

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

%Y Column k=10 of A220122.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Dec 06 2012