This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A181806 Positive integers with more highly composite divisors (A002182) than any smaller positive integer. 7
 1, 2, 4, 12, 24, 48, 120, 240, 360, 720, 5040, 10080, 15120, 30240, 60480, 151200, 166320, 332640, 665280, 1663200, 1995840, 3326400, 8648640, 17297280, 21621600, 43243200, 86486400, 129729600, 259459200, 735134400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers n such that A181801(n) > A181801(m) for all m < n. Also, numbers n such that row n of triangles A181802 and A181803 is longer than any previous row in either triangle. Not a subsequence of A002182. The smallest positive integer which has a record number of highly composite divisors, but which is not highly composite itself, is 30240. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..153 A. Flammenkamp, List of the first 1200 highly composite numbers Eric Weisstein's World of Mathematics, Highly composite number EXAMPLE 12 has five divisors (namely, 1, 2, 4, 6 and 12) that are members of A002182. No positive integer smaller than 12 has more than three members of A002182 among its divisors; hence, 12 is a member of the sequence. CROSSREFS A181807(n) = number of highly composite divisors of a(n) (i.e., A181801(a(n)). Subsequence of A025487, A181804. Numbers A181804(n) such that A181805(n) increases to a record. Includes all members of A136253. Sequence in context: A079352 A089888 A181809 * A133411 A201078 A004645 Adjacent sequences:  A181803 A181804 A181805 * A181807 A181808 A181809 KEYWORD nonn,changed AUTHOR Matthew Vandermast, Nov 27 2010 EXTENSIONS a(20)-a(30) from Charles R Greathouse IV, Jan 14 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .