%I M2934 N1180
%S 3,12,60,420,4620,60060,180180,360360,6126120,116396280,2677114440,
%T 77636318760,2406725881560,89048857617720,3651003162326520
%N Numbers N in A002809 such that there is rho > 0 such that for all A > 0, A008475(A)A008475(N) >= rho*log(A/N).
%C What is the definition of this sequence?  _Charles R Greathouse IV_, Jan 12 2012
%C Note that A002182 is the sequence of highly composite numbers.  _T. D. Noe_, Jan 12 2012
%C 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
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H J.L. Nicolas, <a href="http://smf4.emath.fr/Publications/Bulletin/97/html/">Ordre maximum d'un élément du groupe S(n) des permutations et "highly composite numbers"</a>, Bull. Soc. Math. Française 97 (1969), 129191.
%K nonn,easy,nice,more
%O 1,1
%A _N. J. A. Sloane_.
%E Edited by _M. F. Hasler_, Mar 29 2015
