login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A053624 Highly composite odd numbers (1): where d(n) increases to a record. 11
1, 3, 9, 15, 45, 105, 225, 315, 945, 1575, 2835, 3465, 10395, 17325, 31185, 45045, 121275, 135135, 225225, 405405, 675675, 1576575, 2027025, 2297295, 3828825, 6891885, 11486475, 26801775, 34459425, 43648605, 72747675, 130945815 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also least number k such that the number of partitions of k into consecutive integers is a record. For example, 45 = 22+23 = 14+15+16 = 7+8+9+10+11 = 5+6+7+8+9+10 = 1+2+3+4+5+6+7+8+9, six such partitions, but all smaller terms have fewer such partitions (15 has four). See A000005 comments and A038547 formula. - Rick L. Shepherd, Apr 20 2008

LINKS

Ray Chandler, Table of n, a(n) for n = 1..170

EXAMPLE

9 is in list because has 3 divisors {1, 3, 9}, more than any previous odd number.

PROG

(PARI) lista(nn) = {maxd = 0; forstep (n=1, nn, 2, if ((nd = numdiv(n)) > maxd, print1(n, ", "); maxd = nd; ); ); } \\ Michel Marcus, Apr 21 2014

CROSSREFS

Cf. A002182, A053640, A000005, A038547. Subsequence of A147516.

Sequence in context: A082702 A214771 A065917 * A119239 A140864 A171929

Adjacent sequences:  A053621 A053622 A053623 * A053625 A053626 A053627

KEYWORD

nonn,nice

AUTHOR

Stefano Lanfranco (lastefano(AT)yahoo.it), Mar 21 2000

STATUS

approved

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

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

Last modified November 24 10:51 EST 2014. Contains 249895 sequences.