A247741 Total number of U shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

0, 0, 0, 18, 144, 1196, 10122, 92280, 821038, 6991890, 58992846, 496243152, 4159529298, 34612046520, 286233965312, 2357133355050, 19343135795244, 158206906810656, 1289891352293998, 10487551431195780, 85061169561727062, 688372469609962898, 5559403964257012514

Offset: 0

Author

Alois P. Heinz, Sep 23 2014

Keywords

• nonn

Links

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

Crossrefs

Cf. A174249, A233427, A247708.

Formula

a(n) = Sum_{k>0} k * A247708(n,k).