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A316313 Number of integer partitions of n such that every distinct submultiset has a different average. 45
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
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
Sequence in context: A063988 A198453 A345162 * A325876 A325468 A320347
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 29 2018
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)