A247769 Number of tilings of a 5 X n rectangle using n pentominoes of any but the N shape.

1, 1, 5, 48, 423, 3082, 18998, 133083, 965175, 6907447, 48357538, 337492571, 2379164196, 16812509746, 118525108279, 834050273099, 5871294215587, 41366373307538, 291469733924989, 2053121255070040, 14460522145205162, 101855876591455305, 717493569094700741

Offset

0,3

Links

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

Wikipedia, Pentomino

Formula

a(n) ~ c * d^n, where d = 7.04397539498320599943308475324574337362579863618900362092946272591..., c = 0.15989322823686781502117997501523372089722059935465319293786933934... . - Vaclav Kotesovec, Mar 05 2016

Crossrefs

Column k=0 of A247705.

Cf. A174249, A233427.

Sequence in context: A215050 A268785 A268736 * A116431 A048435 A293102

Adjacent sequences: A247766 A247767 A247768 * A247770 A247771 A247772

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2014

Status

approved