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Search: id:A051188
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| A051188 |
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Sept-factorial numbers. |
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+0
9
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| 1, 7, 98, 2058, 57624, 2016840, 84707280, 4150656720, 232436776320, 14643516908160, 1025046183571200, 78928556134982400, 6629998715338521600, 603329883095805465600, 59126328543388935628800
(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_7)^n. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001
a(n) = 7*A034834(n) = product(7*k,k=1..n), n >= 1.
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 614
Index entries for sequences related to factorial numbers
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FORMULA
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a(n) = n!*7^n =: (7*n)(!^7);
E.g.f. 1/(1-7*x)
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MAPLE
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with(combstruct):A:=[N, {N=Cycle(Union(Z$7))}, labeled]: seq(count(A, size=n)/7, n=0..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007
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CROSSREFS
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A000142, A000165, A032031, A047053, A052562, A047058, A051186, A053106, A000165.
Adjacent sequences: A051185 A051186 A051187 this_sequence A051189 A051190 A051191
Sequence in context: A124092 A036293 A133679 this_sequence A113134 A092818 A041087
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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