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Number of tilings of a 5 X n rectangle using n pentominoes of any shape including exactly one X shape.
2

%I #8 Feb 06 2017 18:38:52

%S 0,0,0,1,8,76,734,7414,71986,638499,5558790,47971603,410502410,

%T 3473846885,29078659564,241699322196,1997778940804,16429720592636,

%U 134489816829048,1096404231410945,8906880161717904,72131791267258552,582512418898356698,4692186192041626600

%N Number of tilings of a 5 X n rectangle using n pentominoes of any shape including exactly one X shape.

%H Alois P. Heinz, <a href="/A247828/b247828.txt">Table of n, a(n) for n = 0..500</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentomino">Pentomino</a>

%e a(3) = 1:

%e ._____.

%e | ._. |

%e |_| |_|

%e |_. ._|

%e | |_| |

%e |_____| .

%Y Column k=1 of A247711.

%K nonn

%O 0,5

%A _Alois P. Heinz_, Sep 24 2014