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 A174249 Number of tilings of a 5 X n rectangle with n pentominoes of any shape. 75
 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 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 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

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Last modified November 23 17:10 EST 2020. Contains 338595 sequences. (Running on oeis4.)