A247746 Total number of Z shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

0, 0, 0, 4, 52, 532, 4772, 44624, 413332, 3704668, 32312456, 277318708, 2365831332, 20023322874, 168065885292, 1401084600204, 11617827516556, 95910742322858, 788559509624036, 6459527069162538, 52742304806108492, 429408151732020490, 3487057360672870112

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 * A247713(n,k).

Crossrefs

Cf. A174249, A233427, A247713.

Sequence in context: A101354 A229146 A071953 * A221727 A144339 A155661

Adjacent sequences: A247743 A247744 A247745 * A247747 A247748 A247749

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved