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A071248
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Prod( k=1..n, lcm(n,k) ).
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3
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1, 4, 54, 768, 75000, 466560, 592950960, 5284823040, 1735643790720, 45360000000000, 1035338990313196800, 102980960177356800, 145077660657859734604800, 154452450072526199193600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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 (benoit7848c(AT)orange.fr), Aug 13 2002
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..100
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FORMULA
| a(n) = n!*Product_{ d divides n } d^phi(d). - Vladeta Jovovic (vladeta(AT)eunet.rs), 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
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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
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PROG
| (PARI) a(n)=prod(k=1, n, lcm(n, k))
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CROSSREFS
| Product of terms in n-th row of A051173.
Cf. A067911, A056916.
Sequence in context: A199022 A089205 A055774 * A127833 A093983 A138459
Adjacent sequences: A071245 A071246 A071247 * A071249 A071250 A071251
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 21 2002
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 13 2002
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