login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316313 Number of integer partitions of n such that every distinct submultiset has a different average. 28
1, 1, 2, 2, 3, 3, 5, 6, 6, 9, 11, 10, 15, 17, 18, 22, 28, 26, 34, 37, 44, 50, 61, 53, 77, 82, 93, 89, 120, 120, 149, 138, 174, 180, 222, 193, 257, 262, 305, 281, 367, 359, 424, 398, 487, 507, 590, 526, 662, 666, 782, 729, 894, 892, 995, 987, 1154, 1188, 1370 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Note that such a partition is necessarily strict.

LINKS

Table of n, a(n) for n=1..59.

EXAMPLE

The a(8) = 6 integer partitions are (8), (71), (62), (53), (521), (431).

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], UnsameQ@@Mean/@Union[Subsets[#]]&]], {n, 20}]

CROSSREFS

Cf. A000009, A108917, A275972, A276024, A284640, A299702, A301899, A301900, A316271, A316314.

Sequence in context: A063988 A198453 A345162 * A325876 A325468 A320347

Adjacent sequences: A316310 A316311 A316312 * A316314 A316315 A316316

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jun 29 2018

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 1 08:58 EST 2022. Contains 358467 sequences. (Running on oeis4.)