login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174249 Number of tilings of a 5 X n rectangle with n pentominoes of any shape. 81
1, 1, 5, 56, 501, 4006, 27950, 214689, 1696781, 13205354, 101698212, 782267786, 6048166230, 46799177380, 361683136647, 2793722300087, 21583392631817, 166790059833039, 1288885349447958, 9959188643348952, 76953117224941654, 594617039453764617, 4594660583890506956 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Jessica Gonzalez, Illustration for a(2) = 5
R. S. Harris, Counting Nonomino Tilings and Other Things of that Ilk, G4G9 Gift Exchange book, 2010.
Wikipedia, Pentomino
FORMULA
a(n) ~ c * d^n, where d =
7.727036840800092392128639105511391434436212757335030092041375597587338371937..., c =
0.13364973920881772493778581621701653927538155984099992758656160782495174... (1/d is the root of the denominator, see g.f.). - Vaclav Kotesovec, May 19 2015
CROSSREFS
Column k=5 of A233427.
Sequence in context: A247774 A258490 A255953 * A073563 A006658 A221160
KEYWORD
nonn,easy
AUTHOR
Bob Harris (me13013(AT)gmail.com), Mar 13 2010
EXTENSIONS
a(0) prepended, a(11)-a(22) from Alois P. Heinz, Dec 05 2013
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 2 06:08 EST 2024. Contains 370460 sequences. (Running on oeis4.)