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A047058 Sextuple factorial numbers: 6^n*n!. +0
14
1, 6, 72, 1296, 31104, 933120, 33592320, 1410877440, 67722117120, 3656994324480, 219419659468800, 14481697524940800, 1042682221795737600, 81329213300067532800, 6831653917205672755200, 614848852548510547968000 (list; graph; listen)
OFFSET

0,2

COMMENT

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]

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 528

FORMULA

E.g.f. (1-6*x)^-1

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]

CROSSREFS

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

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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