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 A316440 Number of integer partitions of n such that every submultiset has an integer average. 4
 1, 2, 2, 4, 2, 6, 2, 7, 5, 8, 2, 13, 2, 10, 10, 14, 2, 20, 2, 17, 15, 14, 2, 32, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE The a(12) = 13 partitions: (12), (6,6), (7,5), (8,4), (9,3), (10,2), (11,1), (4,4,4), (6,4,2), (8,2,2), (3,3,3,3), (2,2,2,2,2,2), (1,1,1,1,1,1,1,1,1,1,1,1). MATHEMATICA Table[Length[Select[IntegerPartitions[n], And@@IntegerQ/@Mean/@Union[Rest[Subsets[#]]]&]], {n, 20}] CROSSREFS Cf. A067538, A074761, A122768, A143773, A237984, A298423, A316313, A316314. Sequence in context: A121599 A080221 A137849 * A118982 A129457 A275365 Adjacent sequences:  A316437 A316438 A316439 * A316441 A316442 A316443 KEYWORD nonn,more AUTHOR Gus Wiseman, Jul 03 2018 STATUS approved

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Last modified September 23 16:17 EDT 2020. Contains 337314 sequences. (Running on oeis4.)