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A002497
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A highly composite sequence.
(Formerly M2934 N1180)
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1
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3, 12, 60, 420, 4620, 60060, 180180, 360360, 6126120, 116396280, 2677114440, 77636318760, 2406725881560, 89048857617720, 3651003162326520
(list;
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listen;
history;
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OFFSET
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1,1
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COMMENTS
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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 187 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
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REFERENCES
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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).
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LINKS
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Table of n, a(n) for n=1..15.
J.-L. Nicolas, Ordre maximum d'un e'le'ment du groupe de permutations et highly composite numbers, Bull. Math. Soc. France, 97 (1969), 129-191.
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CROSSREFS
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Sequence in context: A082278 A078162 A211774 * A218092 A192479 A161799
Adjacent sequences: A002494 A002495 A002496 * A002498 A002499 A002500
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KEYWORD
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nonn,easy,nice,more,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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