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A047058 a(n) = 6^n * n!. 19
1, 6, 72, 1296, 31104, 933120, 33592320, 1410877440, 67722117120, 3656994324480, 219419659468800, 14481697524940800, 1042682221795737600, 81329213300067532800, 6831653917205672755200, 614848852548510547968000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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

a(n) = number of ways 3 members of each of n different teams can be arranged in a row so that members of the same team are together. - Geoffrey Critzer, Mar 30 2009

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 528

FORMULA

E.g.f.: 1/(1-6*x).

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). - Philippe Deléham, Jan 08 2012

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 5, 5!, 6}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

Table[6^n n!, {n, 0, 20}] (* Harvey P. Dale, Mar 30 2018 *)

PROG

(MAGMA)  [6^n*Factorial(n): n in [0..20]]; // Vincenzo Librandi, Oct 05 2011

CROSSREFS

Cf. A000142, A008542, A008543, A053103, A000165. a(n)= A051151(n+1, 0).

Sequence in context: A272688 A063965 A214875 * A202382 A266869 A001763

Adjacent sequences:  A047055 A047056 A047057 * A047059 A047060 A047061

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

EXTENSIONS

Name changed by Arkadiusz Wesolowski, Oct 04 2011

STATUS

approved

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Last modified November 17 06:06 EST 2019. Contains 329217 sequences. (Running on oeis4.)