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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A097214 Numbers n such that A076078(n) = n, where A076078(n) equals the number of sets of distinct positive integers with a least common multiple of n. 2
1, 2, 4, 8, 10, 16, 32, 44, 64, 128, 184, 256, 512, 752, 1024, 2048, 4096, 8192, 12224, 16384, 32768, 49024, 61064, 65536, 131072, 262124, 524288, 981520, 1048576, 2097152, 4194304, 8388608, 12580864, 16777216, 33554432, 67108864, 134217728 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Contains all powers of 2 (A000079). Union of A000079 and A097215.

If 3*2^n-1 is prime then 2^n*(3*2^n-1) is in the sequence. So 2^A002235*(3*2^A002235-1) is a subsequence of this sequence. - Farideh Firoozbakht, Aug 06 2005

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

A total of 10 sets of distinct positive integers have a least common multiple of 10: 1,2,5; 1,2,5,10; 1,2,10; 1,5,10; 1,10; 2,5; 2,5,10; 2,10; 5,10; and 10. Hence 10 is in the sequence.

CROSSREFS

Cf. A097215

Cf. A002235.

Sequence in context: A083655 A271816 A097210 * A045579 A177050 A276772

Adjacent sequences:  A097211 A097212 A097213 * A097215 A097216 A097217

KEYWORD

nonn

AUTHOR

Matthew Vandermast, Aug 12 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified June 25 06:13 EDT 2017. Contains 288709 sequences.