0,3

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

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

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

Sequence in context: A058447 A058453 A058471 this_sequence A058473 A115527 A050920

Adjacent sequences: A068737 A068738 A068739 this_sequence A068741 A068742 A068743

nonn

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