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

0,4

Links

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

Wikipedia, Pentomino

Formula

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

Crossrefs

Cf. A174249, A233427, A247708.

Sequence in context: A126900 A178759 A036397 * A224329 A221352 A271755

Adjacent sequences: A247738 A247739 A247740 * A247742 A247743 A247744

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved