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

%I #6 Feb 06 2017 18:35:50

%S 0,0,4,60,556,5328,45316,405636,3583136,30801264,261702184,2204389124,

%T 18485952896,154072120428,1276431617512,10525735832272,86463238965520,

%U 707822586795020,5776135319900600,47001025464956044,381480686633266156,3089168335328298424,24963223479997963992

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

%H Alois P. Heinz, <a href="/A247739/b247739.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 * A247706(n,k).

%Y Cf. A174249, A233427, A247706.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 23 2014