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A099996
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Least common multiple (or LCM) of {1, 2, ..., 2n}.
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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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LINKS
| J. Sondow, Criteria for irrationality of Euler's constant, Proc. Amer. Math. Soc. 131 (2003) 3335-3344.
Index entries for sequences related to lcm's
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EXAMPLE
| LCM of {1,2,3,4,5,6} is 60 and 6 = 2*3, so a(3) = 60.
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MAPLE
| A099996 := proc(n)
lcm(seq(i, i=1..2*n)) ;
end proc: # R. J. Mathar, Dec 14 2011
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CROSSREFS
| Bisection of A003418.
Cf. A076100, A093880.
Sequence in context: A190425 A145630 A082688 * A099795 A127044 A037562
Adjacent sequences: A099993 A099994 A099995 * A099997 A099998 A099999
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KEYWORD
| easy,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 20 2004
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EXTENSIONS
| More terms from Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jan 17 2005
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