|
Search: id:A051451
|
|
| |
|
| 1, 2, 6, 12, 60, 420, 840, 2520, 27720, 360360, 720720, 12252240, 232792560, 5354228880, 26771144400, 80313433200, 2329089562800, 72201776446800, 144403552893600, 5342931457063200, 219060189739591200
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
This may be the "smallest" product-based numbering system that has a unique finite representation for every rational number. In this base 1/2 = .1 (1*1/2), 1/3 = .02 (0*1/2 + 2*1/6), 1/5 = .0102 (0*1/2 + 1*1/6 + 0*1/12 + 2*1/60). - Russell Easterly (logiclab(AT)attbi.com), Oct 03 2001
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..100
Index entries for sequences related to lcm's
R. Easterly, Product Based Numbering Systems
|
|
FORMULA
|
a(n) = A003418(A000961(n)).
Distinct values of A003418, i.e. A051451 = Union[A003418].
Partial products of A025473, prime roots of the prime powers.
|
|
EXAMPLE
|
LCM[1,..,n] is 2520 for n=9 and 10. The smallest such n's are always prime powers, where A003418 jumps.
|
|
CROSSREFS
|
Cf. A000961, A003418, A025473, A049536, A049537.
Sequence in context: A048803 A068625 A162935 this_sequence A090951 A085819 A069047
Adjacent sequences: A051448 A051449 A051450 this_sequence A051452 A051453 A051454
|
|
KEYWORD
|
nonn,nice,easy
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu)
|
|
EXTENSIONS
|
Minor edits by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 16 2009
|
|
|
Search completed in 0.002 seconds
|
