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Search: id:A047058
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| A047058 |
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Sextuple factorial numbers: 6^n*n!. |
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+0
14
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| 1, 6, 72, 1296, 31104, 933120, 33592320, 1410877440, 67722117120, 3656994324480, 219419659468800, 14481697524940800, 1042682221795737600, 81329213300067532800, 6831653917205672755200, 614848852548510547968000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n >= 1 a(n) is the order of the wreath product of the symmetric group S_n and the Abelian group (C_6)^n. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001
Three members of n different teams are all arranged in a row so that members of the same team are together. [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), Mar 30 2009]
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 528
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FORMULA
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E.g.f. (1-6*x)^-1
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 5, 5!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A000142, A008542, A008543, A053103, A000165. a(n)= A051151(n+1, 0).
Sequence in context: A052678 A052719 A063965 this_sequence A001763 A003235 A113133
Adjacent sequences: A047055 A047056 A047057 this_sequence A047059 A047060 A047061
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KEYWORD
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nonn,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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