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A002944
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LCM{1,2,...,n} / n.
(Formerly M0912 N0344)
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24
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1, 1, 2, 3, 12, 10, 60, 105, 280, 252, 2520, 2310, 27720, 25740, 24024, 45045, 720720, 680680, 12252240, 11639628, 11085360, 10581480, 232792560, 223092870, 1070845776, 1029659400, 2974571600, 2868336900, 80313433200, 77636318760, 2329089562800
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OFFSET
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1,3
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REFERENCES
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B. Farhi, An identity involving the least common multiple ..., Amer. Math. Monthly, 116 (2009), 836-839.
Peter L. Montgomery, LCM of Binomial Coefficients, Problem E2686, American Mathematical Monthly, 84 (1977), 820 and 86 (1979), 131.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..500
Index entries for sequences related to lcm's
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FORMULA
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a(n) = A003418(n) / n.
Equals LCM of C(n-1, 0), C(n-1, 1), ..., C(n-1, n-1) [Montgomery] [Corrected by N. J. A. Sloane, Jun 11 2008]
a(n+1) = lcm( C(n,k), k=0..n). [From Franklin T. Adams-Watters, Jul 05 2009]
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MAPLE
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A003418 := n-> lcm(seq(i, i=1..n)); f:=n->A003418(n)/n;
BB:=n->sum(1/sqrt(k), k=1..n): a:=n->floor(denom(BB(n))/n): seq(a(n), n=1..29); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 29 2007
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MATHEMATICA
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Table[Apply[LCM, Range[n]]/n, {n, 1, 30}] (* Geoffrey Critzer, Feb 10 2013 *)
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CROSSREFS
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Cf. A025527.
Cf. A100561, A003418, A001142, A001405. [From Franklin T. Adams-Watters, Jul 05 2009]
Sequence in context: A093432 A100561 A081529 * A201501 A037321 A039565
Adjacent sequences: A002941 A002942 A002943 * A002945 A002946 A002947
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Jud McCranie, Jan 17 2000
Edited by N. J. A. Sloane, Jun 11 2008
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STATUS
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approved
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