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Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, L, Y.
10

%I #28 Feb 06 2017 18:12:34

%S 1,0,2,0,6,16,32,104,186,800,1700,4836,11186,29940,84388,208808,

%T 563364,1391664,3787510,9824684,25712276,66815444,173151378,457266220,

%U 1188536784,3113743272,8087358736,21152284376,55283003950,144314582896,376852311434,982507243820

%N Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, L, Y.

%H Alois P. Heinz, <a href="/A247443/b247443.txt">Table of n, a(n) for n = 0..1000</a>

%H Alois P. Heinz, <a href="/A247443/a247443.txt">G.f. and Maple program for A247443</a>

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

%F G.f.: see link.

%e a(5) = 16:

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

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

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

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

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

%e |_______|_| (*8) |_|_______| (*8) .

%p # Maple program: see link.

%Y Cf. A174249, A233427, A234312, A234931, A247680, A248102, A249762.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 23 2014