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

%I #6 Feb 07 2017 10:14:28

%S 0,0,4,24,436,3888,29880,264460,2353136,20400352,171215320,1430108512,

%T 11962161392,99523393628,822501750184,6763177931936,55433124540308,

%U 453013557727460,3690931980743340,29988435689294280,243064471330287696,1965884816120576180

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

%H Alois P. Heinz, <a href="/A247737/b247737.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 * A247704(n,k).

%Y Cf. A174249, A233427, A247704.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 23 2014