%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