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1, 6, 72, 1296, 31104, 933120, 33592320, 1410877440, 67722117120, 3656994324480, 219419659468800, 14481697524940800, 1042682221795737600, 81329213300067532800, 6831653917205672755200, 614848852548510547968000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| Vincenzo Librandi, Table of n, a(n) for n = 0..300
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 528
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FORMULA
| E.g.f. (1-6*x)^-1
G.f.: 1/(1-6x/(1-6x/(1-12x/(1-12x/(1-18x/(1-18x/(1-24x/(1-24x/(1-30x/(1-30x/(1-... (continued fraction). - DELEHAM Philippe, Jan 08 2012
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MATHEMATICA
| 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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PROG
| (MAGMA) [6^n*Factorial(n): n in [0..20]]; // Vincenzo Librandi, Oct 05 2011
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CROSSREFS
| Cf. A000142, A008542, A008543, A053103, A000165. a(n)= A051151(n+1, 0).
Sequence in context: A052719 A196882 A063965 * A202382 A001763 A003235
Adjacent sequences: A047055 A047056 A047057 * A047059 A047060 A047061
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KEYWORD
| nonn,easy
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AUTHOR
| Joe Keane (jgk(AT)jgk.org)
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EXTENSIONS
| Name changed by Arkadiusz Wesolowski, Oct 04 2011
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