cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A068742 Largest power of n! which divides (n^n)!.

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%I A068742 #3 Mar 30 2012 18:51:35
%S A068742 1,1,8,13060694016,
%T A068742 2079483819621516594237312893208982470178235671604741236585936787960152492743230443701290222268785125031295963705114624
%N A068742 Largest power of n! which divides (n^n)!.
%F A068742 For p prime, a(p)=(p!)^((p^p-1)/(p-1))
%e A068742 a(3)=13060694016 since (3^3)!=27!=10888869450418352160768000000 can be divided by 3!=6 thirteen times and 6^13=13060694016.
%o A068742 (PARI) for(n=2,10,p=1:f=(n^n)!:while(f%p==0,p=p*n!):print1(p/n!","))
%Y A068742 Cf. A000142, A000312, A023037, A068740, A068741.
%K A068742 nonn
%O A068742 0,3
%A A068742 _Henry Bottomley_, Feb 26 2002
%E A068742 More terms from _Ralf Stephan_, Mar 31 2003