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A051189 Octo-factorial numbers. 15
1, 8, 128, 3072, 98304, 3932160, 188743680, 10569646080, 676457349120, 48704929136640, 3896394330931200, 342882701121945600, 32916739307706777600, 3423340888001504870400, 383414179456168545484800 (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_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, Sep 24 2005

LINKS

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

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).

G.f.: 1/(1-8x/(1-8x/(1-16x/(1-16x/(1-24x/(1-24x/(1-32x/(1-32x/(1-... (continued fraction). - Philippe Deléham, Jan 07 2012

MAPLE

with(combstruct):A:=[N, {N=Cycle(Union(Z$8))}, labeled]: seq(count(A, size=n+1)/8, n=0..15); # Zerinvary Lajos, Dec 05 2007

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 7, 5!, 8}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

PROG

(MAGMA) [8^n*Factorial(n): n in [0..20]]; // Vincenzo Librandi, Oct 05 2011

CROSSREFS

Cf. A047058, A051188, A053115, A000165.

Sequence in context: A183497 A237023 A156270 * A113135 A219264 A188060

Adjacent sequences:  A051186 A051187 A051188 * A051190 A051191 A051192

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified January 25 01:49 EST 2020. Contains 331229 sequences. (Running on oeis4.)