|
|
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
|
Brady Haran, James Grime, 10!, Numberphile video (2012)
|
|
FORMULA
|
a(n) = 6*n!/10!.
|
|
EXAMPLE
|
For n=12, a(12) = 6*(12)!/10! = 792; interpretation: 12! seconds = 792 weeks.
|
|
MATHEMATICA
|
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|