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%I #8 Feb 06 2017 17:53:00
%S 1,1,3,5,17,66,181,508,1283,3664,10812,31171,88565,245524,692416,
%T 1968532,5609977,15928174,44982196,127190716,360208608,1021611491,
%U 2896270245,8202605953,23226285083,65780006703,186369631872,528047092459,1495905404102,4237308534243
%N Number of tilings of a 5 X n rectangle using n pentominoes of shapes L, U, I.
%H Alois P. Heinz, <a href="/A251737/b251737.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(4) = 17:
%e ._______. ._______. ._______. ._______.
%e |_____. | | ._____| | | | | | | | ._| |
%e | | ._|_| |_| ._. | | | | | | | | | | |
%e | | |_. | | |_| |_| | | | | | | | | | |
%e | |___| | |_____| | | | | | | | |_| | |
%e |___|___| (4) |_______| (2) |_|_|_|_| (1) |_|___|_| (2)
%e ._______. ._______. ._______.
%e | ._| | | | ._| ._| | ._|_. |
%e | | | | | | | | | | | | | | |
%e | | | | | | | | | | | | | | |
%e |_| | | | |_| |_| | |_| | |_|
%e |___|_|_| (4) |___|___| (2) |___|___| (2) .
%Y Cf. A174249, A233427, A247443, A247680, A249762, A251617.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Dec 07 2014
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