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A068742 Largest power of n! which divides (n^n)!. 2
1, 1, 8, 13060694016, 2079483819621516594237312893208982470178235671604741236585936787960152492743230443701290222268785125031295963705114624 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..4.

FORMULA

For p prime, a(p)=(p!)^((p^p-1)/(p-1))

EXAMPLE

a(3)=13060694016 since (3^3)!=27!=10888869450418352160768000000 can be divided by 3!=6 thirteen times and 6^13=13060694016.

PROG

(PARI) for(n=2, 10, p=1:f=(n^n)!:while(f%p==0, p=p*n!):print1(p/n!", "))

CROSSREFS

Cf. A000142, A000312, A023037, A068740, A068741.

Sequence in context: A004740 A108067 A067486 * A272826 A019440 A085276

Adjacent sequences:  A068739 A068740 A068741 * A068743 A068744 A068745

KEYWORD

nonn

AUTHOR

Henry Bottomley, Feb 26 2002

EXTENSIONS

More terms from Ralf Stephan, Mar 31 2003

STATUS

approved

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Last modified June 18 22:00 EDT 2021. Contains 345125 sequences. (Running on oeis4.)