|
|
A071248
|
|
a(n) = Product_{k=1..n} lcm(n,k).
|
|
4
|
|
|
1, 4, 54, 768, 75000, 466560, 592950960, 5284823040, 1735643790720, 45360000000000, 1035338990313196800, 102980960177356800, 145077660657859734604800, 154452450072526199193600
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
FORMULA
|
|
|
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
|
Product of terms in n-th row of A051173.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|