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

Author

Matthew Vandermast, Aug 07 2004

Keywords

• nonn

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

Crossrefs

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

Programs

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 *)

Extensions

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