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A267141 Number of weeks in n! seconds, for n >= 10. 0
6, 66, 792, 10296, 144144, 2162160, 34594560, 588107520, 10585935360, 201132771840, 4022655436800, 84475764172800, 1858466811801600, 42744736671436800, 1025873680114483200, 25646842002862080000, 666817892074414080000 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,1

COMMENTS

10! seconds = 6 weeks (exactly)

11! seconds = 66 weeks (exactly)

12! seconds = 792 weeks (exactly), etc.

Demonstration of first term:

  6 w * 7 d/w * 24 h/d * 60 m/h * 60 s/m  = seconds in 6 weeks =

  (2*3)*(1*7)  *(3*8)  * (6*10) * (3*5*4) =

  1*2*3*4*5*6*7*8*(3^2)*10                = 10! seconds

LINKS

Table of n, a(n) for n=10..26.

Brady Haran, James Grime, 10!, Numberphile video (2012)

FORMULA

a(n) = 6*n!/10!.

a(n) = 6*A051431(n-10), for n>=10.

EXAMPLE

For n=12, a(12) = 6*(12)!/10! = 792; interpretation: 12! seconds = 792 weeks.

MATHEMATICA

f[n_] := n!/(60*60*24*7); Array[f, 17, 10] (* Robert G. Wilson v, Jan 12 2016 *)

PROG

(PARI) a(n) = 6*n!/10!; \\ Altug Alkan, Jan 12 2016

CROSSREFS

Cf. A051431.

Sequence in context: A127857 A127858 A173535 * A004355 A282046 A124862

Adjacent sequences:  A267138 A267139 A267140 * A267142 A267143 A267144

KEYWORD

easy,nonn

AUTHOR

Richard H. Sweetman, Jan 10 2016

STATUS

approved

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Last modified October 17 22:48 EDT 2018. Contains 316297 sequences. (Running on oeis4.)