login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060068 Divide n! by largest power of n which will leave the result an integer. 1
1, 1, 2, 6, 24, 20, 720, 630, 4480, 36288, 3628800, 1925, 479001600, 444787200, 387459072, 5108103000, 20922789888000, 60988928000, 6402373705728000, 15205637551104, 5516784599040000, 2322315553259520000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n) = n!/n^A011776(n) = A000142(n)/A060067(n)

EXAMPLE

a(12)=1925 since 12!=479001600 and dividing repeatedly by 12 gives 39916800, 3326400, 277200, 23100, 1925, 160.416666..., ...

MATHEMATICA

Join[{1}, Table[n!/n^IntegerExponent[n!, n], {n, 2, 30}]] (* Harvey P. Dale, May 01 2013 *)

CROSSREFS

Sequence in context: A319544 A124900 A068819 * A099732 A118381 A123145

Adjacent sequences:  A060065 A060066 A060067 * A060069 A060070 A060071

KEYWORD

nonn

AUTHOR

Henry Bottomley, Feb 19 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 9 13:50 EST 2019. Contains 329877 sequences. (Running on oeis4.)