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A051189 Octo-factorial numbers. +0
12
1, 8, 128, 3072, 98304, 3932160, 188743680, 10569646080, 676457349120, 48704929136640, 3896394330931200, 342882701121945600, 32916739307706777600, 3423340888001504870400, 383414179456168545484800 (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_8)^n. - Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001

Number of n X n monomial matrices whose nonzero entries are unit quaternions.

Number of ways of reassembling n slices of toast or of binding n square pages. - Donald S. McDonald (don.mcdonald(AT)paradise.net.nz), Sep 24 2005

LINKS

Index entries for sequences related to factorial numbers

FORMULA

a(n) = 8*A034976(n) = product(8*k, k=1..n), n >= 1; a(0) := 1.

a(n) = n!*8^n.

E.g.f. 1/(1-8*x)

MAPLE

with(combstruct):A:=[N, {N=Cycle(Union(Z$8))}, labeled]: seq(count(A, size=n)/8, n=1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 7, 5!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]

CROSSREFS

Cf. A047058, A051188, A053115, A000165.

Sequence in context: A133680 A013777 A156270 this_sequence A113135 A104997 A027951

Adjacent sequences: A051186 A051187 A051188 this_sequence A051190 A051191 A051192

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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