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Search: id:A068742
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| A068742 |
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Largest power of n! which divides (n^n)!. |
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3
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| 1, 1, 8, 13060694016, 20794838196215165942373128932089824701782356716047412365859367879601524927432304\ 43701290222268785125031295963705114624
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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For p prime, a(p)=(p!)^((p^p-1)/(p-1))
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EXAMPLE
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a(3)=13060694016 since (3^3)!=27!=10888869450418352160768000000 can be divided by 3!=6 thirteen times and 6^13=13060694016.
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PROGRAM
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(PARI) for(n=2, 10, p=1:f=(n^n)!:while(f%p==0, p=p*n!):print1(p/n!", "))
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CROSSREFS
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Cf. A000142, A000312, A023037, A068740, A068741.
Sequence in context: A004740 A108067 A067486 this_sequence A019440 A085276 A036483
Adjacent sequences: A068739 A068740 A068741 this_sequence A068743 A068744 A068745
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 26 2002
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EXTENSIONS
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More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 31 2003
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