OFFSET
1,2
COMMENTS
Log(a(n))/n/Log(n) is bounded since n^n < a(n) < n^(2n). It seems that lim n -> infinity Log(a(n))/n/Log(n) exists and = 1.7.... - Benoit Cloitre, Aug 13 2002
LINKS
T. D. Noe, Table of n, a(n) for n=1..100
FORMULA
a(n) = n!*Product_{ d divides n } d^phi(d). - Vladeta Jovovic, Sep 10 2004
MAPLE
A071248 := proc(n) mul( lcm(k, n), k=1..n) ; end: for n from 1 to 10 do printf("%d ", A071248(n)) ; od ; # R. J. Mathar, Apr 03 2007
MATHEMATICA
Table[Product[LCM[k, n], {k, n}], {n, 20}] (* Harvey P. Dale, Jun 12 2019 *)
PROG
(PARI) a(n)=prod(k=1, n, lcm(n, k))
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, May 21 2002
EXTENSIONS
More terms from Benoit Cloitre, Aug 13 2002
STATUS
approved