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%I #10 Feb 06 2017 14:28:22
%S 1,1,3,7,17,78,195,616,1783,5120,16714,48843,150407,453178,1356478,
%T 4174538,12554221,38233788,115868736,350343710,1065875246,3225913135,
%U 9793613873,29699991965,90011535049,273180669975,828073217940,2511974932751,7618229843186
%N Number of tilings of a 5 X n rectangle using n pentominoes of shapes Z, I, P.
%H Alois P. Heinz, <a href="/A264765/b264765.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) = 7:
%e ._____. ._____. ._____. ._____. ._____. ._____. ._____.
%e | | | | | | | | | | | | | | | | |_. | | ._|
%e | | | | | | ._| | |_. | | ._| | |_. | | | |___| |___| |
%e | | | | | |_| | | | |_| |_| | | | |_| | |___. | | .___|
%e | | | | | | | | | | | | | | | | | |_| |_| |
%e |_|_|_| |_|___| |_|___| |___|_| |___|_| |_____| |_____| .
%Y Cf. A174249, A233427, A234931, A247268, A247443, A249762, A264812.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Nov 23 2015
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