%I #20 Feb 07 2017 10:22:25
%S 1,1,3,11,33,166,589,2216,8935,33984,137056,539085,2100341,8324716,
%T 32607928,128652672,507032667,1992083368,7853132654,30894420646,
%U 121642017784,479048967517,1885229164497,7423732617043,29223734864421,115048209160729,452968829090506
%N Number of tilings of a 5 X n rectangle using n pentominoes of shapes I, N, P, U, T.
%H Alois P. Heinz, <a href="/A247103/b247103.txt">Table of n, a(n) for n = 0..1000</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentomino">Pentomino</a>
%e a(3) = 11:
%e ._____. ._____. ._____. ._____.
%e | | | | | | | | | | |_. |
%e | | | | | ._| | | | ._| | |___|
%e | | | | |_| ._| | |_| | | .___|
%e | | | | | |_| | | | | |_| |
%e |_|_|_| (1) |_____| (4) |_|___| (4) |_____| (2) .
%Y Cf. A174249, A233427, A247196.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Nov 20 2014