%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