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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: A262365 A063988 A198453 * A320347 A178932 A206439

Adjacent sequences:  A316310 A316311 A316312 * A316314 A316315 A316316

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jun 29 2018

STATUS

approved

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Last modified March 21 01:18 EDT 2019. Contains 321356 sequences. (Running on oeis4.)