A097212 Numbers n such that A076078(n) > A076078(m) for all m < n, A076078(n) being the number of sets of distinct positive integers with a least common multiple of n.

1, 2, 4, 6, 12, 24, 30, 36, 48, 60, 120, 180, 240, 360, 420, 720, 840, 1260, 1680, 2520, 4620, 5040, 7560, 9240, 10080, 12600, 13860, 15120, 18480, 20160, 25200, 27720, 45360, 50400, 55440, 83160, 110880, 138600, 166320, 221760, 277200, 332640

Offset

1,2

Comments

RECORDS transform of A076078. All highly composite numbers (A002182) are members. All members belong to A025487 and A067128.

Links

Amiram Eldar, Table of n, a(n) for n = 1..500

Mathematica

f[n_] := Block[{d = Divisors[n]}, Plus @@ (MoebiusMu[n/d](2^DivisorSigma[0, d] - 1))]; b = 0; l = {}; Do[c = a[n]; If[c > b, b = c; AppendTo[l, n]], {n, 10^6}]; l (* Robert G. Wilson v, Aug 13 2004 *)

Crossrefs

Cf. A140999 (intersection of A025487 and A067128). - Matthew Vandermast, Oct 11 2008

Sequence in context: A073349 A129301 A066523 * A266228 A362081 A265719

Adjacent sequences: A097209 A097210 A097211 * A097213 A097214 A097215

Keyword

nonn

Author

Matthew Vandermast, Aug 07 2004

Extensions

More terms from Robert G. Wilson v, Aug 13 2004

Status

approved