A233429 Number of tilings of a 4 X 5n rectangle with 4n pentominoes of any shape.

1, 501, 890989, 1666772813, 3125064284901, 5859766228545967, 10987595369808657169, 20602741350971679371521, 38632014757792375332001835, 72438542874037975287077565935, 135828859204452470219311220073385, 254691470323770059993623356733063003

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..100

Wikipedia, Pentomino

Formula

a(n) ~ c * d^n, where d = 1875.09099182186211660253860201132854810972459605757360689785461004..., c = 0.25279505771792803447854701369537504374767224177480509542292622525... . - Vaclav Kotesovec, Mar 05 2016

Crossrefs

Quintisection of column k=4 of A233427.

Sequence in context: A097425 A320206 A320215 * A121577 A250609 A251266

Adjacent sequences: A233426 A233427 A233428 * A233430 A233431 A233432

Keyword

nonn

Author

Alois P. Heinz, Dec 09 2013

Status

approved