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A051426
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Least common multiple of {2, 4, 6 ..., 2n}.
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4
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2, 4, 12, 24, 120, 120, 840, 1680, 5040, 5040, 55440, 55440, 720720, 720720, 720720, 1441440, 24504480, 24504480, 465585120, 465585120, 465585120, 465585120, 10708457760, 10708457760, 53542288800, 53542288800, 160626866400, 160626866400, 4658179125600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| GCD(A025547(n), a(n)) = A025547(floor((n+1)/2)). [Reinhard Zumkeller, Apr 25 2011]
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REFERENCES
| A. Murthy, Some new Smarandache sequences, functions and partitions, Smarandache Notions Journal Vol. 11 N. 1-2-3 Spring 2000 (but beware errors).
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LINKS
| 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
| a(n) = a(n-1)*LCM(a(n-1),2n) = a(n-1)* A014963(n). [From Zak Seidov (zakseidov(AT)yahoo.com), Aug 01 2009]
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EXAMPLE
| LCM {2,4,6} = 12;
LCM {2,4,6,8,10,12,14} = 840.
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MATHEMATICA
| SZ={2}; n=2; L=2; Do[L=LCM[L, 2n]; AppendTo[SZ, L]; n++, {99}]; SZ [From Zak Seidov (zakseidov(AT)yahoo.com), Aug 01 2009]
Table[LCM@@Range[2, 2n, 2], {n, 30}] (* From Harvey P. Dale, Oct 09 2011 *)
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PROG
| (Haskell)
a051426 n = foldl lcm 1 [2, 4..2*n] -- Reinhard Zumkeller, Apr 25 2011
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CROSSREFS
| Cf. A003418, A025547.
Sequence in context: A096421 A066843 A051905 * A048148 A080375 A136253
Adjacent sequences: A051423 A051424 A051425 * A051427 A051428 A051429
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KEYWORD
| easy,nice,nonn
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AUTHOR
| Asher Auel (asher.auel(AT)reed.edu)
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EXTENSIONS
| a(6), a(7) and a(8) corrected by T. D. Noe, Feb 08 2008
Corrected the example, which did not reflect the sequence values provided. - Michael Davies (mykdavies+oeis(AT)gmail.com), Oct 10 2008
Edited by N. J. A. Sloane, Jul 31 2009 at the suggestion of R. J. Mathar
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