A060942 a(n) is the largest integer m such that m is divisible by every integer in the interval 1 <= x <= m^(1/n).

2, 12, 420, 27720, 720720, 12252240, 5354228880, 80313433200, 2329089562800, 5342931457063200, 219060189739591200, 9419588158802421600, 3099044504245996706400, 9690712164777231700912800, 1182266884102822267511361600, 79211881234889091923261227200

Offset

1,1

Comments

Probably this is a subsequence of A003418 but I do not have a proof at the moment.

Links

Table of n, a(n) for n=1..16.

Example

a(3) = 420 because 420^(1/3) = 7.4888..., 420 is divisible by all of 1,2,3,4,5,6,7 and it is the largest such number with respect to the exponent 1/3.

Crossrefs

Cf. A003418.

Sequence in context: A287679 A051009 A324616 * A072446 A220113 A015181

Adjacent sequences: A060939 A060940 A060941 * A060943 A060944 A060945

Keyword

nonn

Author

Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001

Extensions

More terms from Sean A. Irvine, Jan 07 2023

Status

approved