A247745 Total number of Y shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

0, 0, 0, 12, 224, 2096, 17732, 160624, 1498176, 13404068, 115123856, 980282312, 8327179132, 70264899456, 587727020332, 4882463109244, 40378339971868, 332612594766452, 2729309532474820, 22316919930250328, 181922495487675520, 1479018078159317720

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..500

Wikipedia, Pentomino

Formula

a(n) = Sum_{k>0} k * A247712(n,k).

Crossrefs

Cf. A174249, A233427, A247712.

Sequence in context: A214512 A372171 A220068 * A098647 A357410 A300561

Adjacent sequences: A247742 A247743 A247744 * A247746 A247747 A247748

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved