A247738 Total number of N shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

0, 0, 0, 8, 88, 1024, 10388, 99840, 935900, 8415368, 74295280, 645535244, 5545784444, 47152918764, 397457338488, 3327197881716, 27688757985292, 229256300558340, 1889667799688076, 15514699106805468, 126939424800685264, 1035396864840877088, 8421920979218715332

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 * A247705(n,k).

Crossrefs

Cf. A174249, A233427, A247705.

Sequence in context: A112907 A053380 A250166 * A115864 A036917 A003497

Adjacent sequences: A247735 A247736 A247737 * A247739 A247740 A247741

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved