|
Search: id:A071248
|
|
|
| A071248 |
|
Prod( k=1..n, lcm(n,k) ). |
|
+0
3
|
|
| 1, 4, 54, 768, 75000, 466560, 592950960, 5284823040, 1735643790720, 45360000000000, 1035338990313196800, 102980960177356800, 145077660657859734604800, 154452450072526199193600
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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 (benoit7848c(AT)orange.fr), 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 (vladeta(AT)Eunet.yu), Sep 10 2004
a(n) = n!*n^n/A067911(n)=A000142(n)*A000312(n)/A067911(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2007
|
|
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 (mathar(AT)strw.leidenuniv.nl), Apr 03 2007
|
|
PROGRAM
|
(PARI) a(n)=prod(k=1, n, lcm(n, k))
|
|
CROSSREFS
|
Product of terms in n-th row of A051173.
Cf. A067911, A056916.
Adjacent sequences: A071245 A071246 A071247 this_sequence A071249 A071250 A071251
Sequence in context: A073863 A089205 A055774 this_sequence A127833 A093983 A138459
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 21 2002
|
|
EXTENSIONS
|
More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 13 2002
|
|
|
Search completed in 0.002 seconds
|
