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Total number of N shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.
2

%I #6 Feb 07 2017 10:27:39

%S 0,0,0,8,88,1024,10388,99840,935900,8415368,74295280,645535244,

%T 5545784444,47152918764,397457338488,3327197881716,27688757985292,

%U 229256300558340,1889667799688076,15514699106805468,126939424800685264,1035396864840877088,8421920979218715332

%N Total number of N shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

%H Alois P. Heinz, <a href="/A247738/b247738.txt">Table of n, a(n) for n = 0..500</a>

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

%F a(n) = Sum_{k>0} k * A247705(n,k).

%Y Cf. A174249, A233427, A247705.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 23 2014