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Search: id:A099996
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| A099996 |
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Least common multiple (or LCM) of {1, 2, ..., 2n}. |
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+0
2
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| 1, 2, 12, 60, 840, 2520, 27720, 360360, 720720, 12252240, 232792560, 232792560, 5354228880, 26771144400, 80313433200, 2329089562800, 144403552893600, 144403552893600, 144403552893600, 5342931457063200, 5342931457063200
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The prime number theorem implies that a(n) = e^(2n(1+o(1))) as n -> infinity. In other words, ln(a(n))/n -> 2 as n -> infinity. (Sondow)
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REFERENCES
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J. Sondow, Criteria for irrationality of Euler's constant, Proc. Amer. Math. Soc. 131 (2003) 3335-3344.
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LINKS
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J. Sondow, Criteria for irrationality of Euler's constant
Index entries for sequences related to lcm's
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EXAMPLE
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LCM of {1,2,3,4,5,6} is 60 and 6 = 2*3, so a(3) = 60.
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MAPLE
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LCM(1, 2, ..., 2n)=LCM(n+1, n+2, ..., 2n). - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 03 2006
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CROSSREFS
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Bisection of A003418.
Cf. A076100, A093880.
Adjacent sequences: A099993 A099994 A099995 this_sequence A099997 A099998 A099999
Sequence in context: A038154 A061834 A082688 this_sequence A099795 A127044 A037562
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KEYWORD
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easy,nonn
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AUTHOR
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njas, Nov 20 2004
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EXTENSIONS
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More terms from Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jan 17 2005
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