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

%I #6 Feb 06 2017 19:01:13

%S 0,0,0,20,192,1568,12636,114216,1022604,8640980,72406668,605996308,

%T 5065065936,42045917448,346705312932,2848191025876,23325323646860,

%U 190440300054560,1550193295412264,12585187313440032,101937894879304356,823951520087842720,6646993031822674592

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

%H Alois P. Heinz, <a href="/A247742/b247742.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 * A247709(n,k).

%Y Cf. A174249, A233427, A247709.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Sep 23 2014