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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 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 * A325876 A325468 A320347 Adjacent sequences:  A316310 A316311 A316312 * A316314 A316315 A316316 KEYWORD nonn AUTHOR Gus Wiseman, Jun 29 2018 STATUS approved

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Last modified October 21 21:46 EDT 2019. Contains 328315 sequences. (Running on oeis4.)