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

 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 Alois P. Heinz, Table of n, a(n) for n = 0..1000 Jessica Gonzalez, Illustration for a(2) = 5 R. S. Harris, Counting Nonomino Tilings and Other Things of that Ilk, G4G9 Gift Exchange book, 2010. R. S. Harris, Counting Polyomino Tilings Vaclav Kotesovec, G.f. and the recurrence (of order 324) Wikipedia, Pentomino Index entries for linear recurrences with constant coefficients, order 324. 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 Cf. A134438, A174248, A174250, A174251, A174252, A174253, A246902, A278456. Column k=5 of A233427. Row sums of A247702, A247703, A247704, A247705, A247706, A247707, A247708, A247709, A247710, A247711, A247712, A247713. Sequence in context: A247774 A258490 A255953 * A073563 A006658 A221160 Adjacent sequences: A174246 A174247 A174248 * A174250 A174251 A174252 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.

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