

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.


3



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
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OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..42.


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 (from Robert G. Wilson v Aug 13 2004)


CROSSREFS

Cf. A140999 (intersection of A025487 and A067128). [From Matthew Vandermast, Oct 11 2008]
Sequence in context: A073349 A129301 A066523 * A126098 A018894 A168264
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



