

A002497


Numbers N in A002809 such that there is rho > 0 such that for all A > 0, A008475(A)A008475(N) >= rho*log(A/N).
(Formerly M2934 N1180)


1



3, 12, 60, 420, 4620, 60060, 180180, 360360, 6126120, 116396280, 2677114440, 77636318760, 2406725881560, 89048857617720, 3651003162326520
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OFFSET

1,1


COMMENTS

What is the definition of this sequence?  Charles R Greathouse IV, Jan 12 2012
Note that A002182 is the sequence of highly composite numbers.  T. D. Noe, Jan 12 2012
The numbers contain the starred entries on pp. 187190 of Nicolas. It is a subsequence of A002809 by selecting only elements of a set/property "G" (page 150). G contains all N such that a real, strictly positive rho exists such that for all strictly positive integers A we have l(A)l(N) >= rho*log(A/N). The function l()=A008475() is defined on page 139.  R. J. Mathar, Mar 23 2012


REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=1..15.
J.L. Nicolas, Ordre maximum d'un élément du groupe S(n) des permutations et "highly composite numbers", Bull. Soc. Math. Française 97 (1969), 129191.


CROSSREFS

Sequence in context: A082278 A078162 A211774 * A228251 A218092 A192479
Adjacent sequences: A002494 A002495 A002496 * A002498 A002499 A002500


KEYWORD

nonn,easy,nice,more


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Edited by M. F. Hasler, Mar 29 2015


STATUS

approved



