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

%I #7 Feb 06 2017 18:41:02

%S 0,0,0,4,68,744,7088,69176,658776,5995348,52831448,458439732,

%T 3944077760,33606901296,283630894720,2375471834288,19779055344468,

%U 163866917256420,1351464466008112,11100931884955344,90860898121739864,741378713523090200,6032337718479599100

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

%H Alois P. Heinz, <a href="/A247735/b247735.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 * A247702(n,k).

%Y Cf. A174249, A233427, A247702.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 23 2014