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

%I #6 Feb 06 2017 18:56:32

%S 0,0,0,4,52,532,4772,44624,413332,3704668,32312456,277318708,

%T 2365831332,20023322874,168065885292,1401084600204,11617827516556,

%U 95910742322858,788559509624036,6459527069162538,52742304806108492,429408151732020490,3487057360672870112

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

%H Alois P. Heinz, <a href="/A247746/b247746.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 * A247713(n,k).

%Y Cf. A174249, A233427, A247713.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 23 2014