|
Search: id:A051426
|
|
|
| A051426 |
|
Least common multiple of {2, 4, 6 ..., 2n}. |
|
+0
3
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
LCM(2,4,6)=12.
|
|
REFERENCES
|
A. Murthy, Some new Smarandache sequences, functions and partitions, Smarandache Notions Journal Vol. 11 N. 1-2-3 Spring 2000 (but beware errors).
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..500
Index entries for sequences related to lcm's
|
|
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]
|
|
EXAMPLE
|
LCM {2,4,6,8,10,12,14} = 840.
|
|
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]
|
|
CROSSREFS
|
Cf. A003418, A025547.
Sequence in context: A096421 A066843 A051905 this_sequence A048148 A080375 A136253
Adjacent sequences: A051423 A051424 A051425 this_sequence A051427 A051428 A051429
|
|
KEYWORD
|
easy,nice,nonn
|
|
AUTHOR
|
Asher Auel (asher.auel(AT)reed.edu)
|
|
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
|
|
|
Search completed in 0.002 seconds
|
