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Search: id:A051232
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| 1, 9, 162, 4374, 157464, 7085880, 382637520, 24106163760, 1735643790720, 140587147048320, 12652843234348800, 1252631480200531200, 135284199861657369600, 15828251383813912243200
(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_9)^n. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001
a(n) = 8*A035023(n) = product(9*k,k=1..n), n >= 1; a(0) := 1.
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LINKS
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Index entries for sequences related to factorial numbers
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FORMULA
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a(n) = n!*9^n =: (9*n)(!^9);
E.g.f. 1/(1-9*x)
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MAPLE
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with(combstruct):A:=[N, {N=Cycle(Union(Z$9))}, labeled]: seq(count(A, size=n)/9, n=1..14); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007
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CROSSREFS
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A047058, A051188, A051189. a(n) = A051231(n-1, 0), A053116. (first column of triangle).
Adjacent sequences: A051229 A051230 A051231 this_sequence A051233 A051234 A051235
Sequence in context: A133793 A084874 A133681 this_sequence A077280 A041147 A041144
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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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