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A068740 Result after dividing (n^n)! as many times as possible by n!. 2
1, 1, 3, 833712928048000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n)=A068741(n)/A068742(n). For p prime, a(p)=(p^p)!/(p!)^((p^p-1)/(p-1)).

EXAMPLE

a(3)=833712928048000000 since 3!=6 (3^3)!=27!=10888869450418352160768000000 which is divisible by 6^13=13060694016 but not 6^14=78364164096.

CROSSREFS

Cf. A000142, A000312, A023037, A057599, A068741, A068742.

Sequence in context: A058447 A058453 A058471 * A058473 A115527 A050920

Adjacent sequences:  A068737 A068738 A068739 * A068741 A068742 A068743

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Feb 26 2002

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.