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%I #13 Feb 06 2017 14:28:50
%S 1,1,3,5,13,52,123,366,909,2444,7108,19157,53957,146826,400704,
%T 1115852,3059907,8475420,23369304,64225984,177572352,488839323,
%U 1349102071,3722419367,10255126169,28303059509,78013005366,215160477217,593488173404,1636220978049
%N Number of tilings of a 5 X n rectangle using n pentominoes of shapes P, I, X.
%H Alois P. Heinz, <a href="/A264812/b264812.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) = 13:
%e ._______. ._______. ._______. ._______.
%e | | | | | | | | | | | | | ._| |
%e | | | | | | ._| ._| | ._| | | |___| |
%e | | | | | |_| |_| | |_| | | | | |___|
%e | | | | | (1) | | | (4) | | | | (6) | ._| | (2)
%e |_|_|_|_| |___|___| |_ _|_|_| |_|_____| .
%e a(5) = 52:
%e ._________.
%e | |_. |
%e | ._| |___|
%e |_|_ _| |
%e | |_| | (2) ...
%e |_____|___| .
%Y Cf. A174249, A233427, A234312, A234931, A247124, A247268, A247443, A249762, A264765, A278330.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Nov 25 2015
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