Search: id:A068740
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%I A068740
%S A068740 1,1,3,833712928048000000
%N A068740 Result after dividing (n^n)! as many times as possible by n!.
%F A068740 a(n)=A068741(n)/A068742(n). For p prime, a(p)=(p^p)!/(p!)^((p^p-1)/(p-1)).
%e A068740 a(3)=833712928048000000 since 3!=6 (3^3)!=27!=10888869450418352160768000000 
               which is divisible by 6^13=13060694016 but not 6^14=78364164096.
%Y A068740 Cf. A000142, A000312, A023037, A057599, A068741, A068742.
%Y A068740 Sequence in context: A058447 A058453 A058471 this_sequence A058473 A115527 
               A050920
%Y A068740 Adjacent sequences: A068737 A068738 A068739 this_sequence A068741 A068742 
               A068743
%K A068740 nonn
%O A068740 0,3
%A A068740 Henry Bottomley (se16(AT)btinternet.com), Feb 26 2002

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