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A233290 Number of tilings of a 6 X n rectangle with 2n trominoes of any shape. 6

%I #18 Feb 07 2017 17:11:56

%S 1,1,11,170,939,8342,80092,614581,5271923,45832761,379419508,

%T 3223419241,27438555522,231096250072,1958024834151,16593169804557,

%U 140295718998907,1187830239559588,10056816580083721,85104482994177208,720410915948382970,6098207777286812381

%N Number of tilings of a 6 X n rectangle with 2n trominoes of any shape.

%H Alois P. Heinz, <a href="/A233290/b233290.txt">Table of n, a(n) for n = 0..1000</a>

%H Vaclav Kotesovec, <a href="/A233290/a233290.txt">Recurrence (of order 126) and G.f.</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Tromino">Tromino</a>

%e a(2) = 11:

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

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

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

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

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

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

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

%Y Column k=6 of A233320.

%Y Cf. A134438, A215826, A269664.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Dec 06 2013

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Last modified August 3 02:56 EDT 2024. Contains 374875 sequences. (Running on oeis4.)