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 A327472 Number of integer partitions of n not containing their mean. 4
 1, 0, 0, 1, 2, 5, 6, 13, 16, 25, 34, 54, 56, 99, 121, 154, 201, 295, 324, 488, 541, 725, 957, 1253, 1292, 1892, 2356, 2813, 3378, 4563, 4838, 6840, 7686, 9600, 12076, 14180, 15445, 21635, 25627, 29790, 33309, 44581, 48486, 63259, 70699, 82102, 104553, 124752 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS EXAMPLE The a(3) = 1 through a(8) = 16 partitions not containing their mean:   (21)  (31)   (32)    (42)     (43)      (53)         (211)  (41)    (51)     (52)      (62)                (221)   (411)    (61)      (71)                (311)   (2211)   (322)     (332)                (2111)  (3111)   (331)     (422)                        (21111)  (421)     (431)                                 (511)     (521)                                 (2221)    (611)                                 (3211)    (3311)                                 (4111)    (5111)                                 (22111)   (22211)                                 (31111)   (32111)                                 (211111)  (41111)                                           (221111)                                           (311111)                                           (2111111) MATHEMATICA Table[Length[Select[IntegerPartitions[n], !MemberQ[#, Mean[#]]&]], {n, 0, 20}] CROSSREFS The Heinz numbers of these partitions are A327476. Partitions with their mean are A237984. Subsets without their mean are A327471. Subsets with n but without their mean are A327477. Strict partitions without their mean are A240851. Cf. A007865, A067538, A067538, A102627, A114639, A324756, A327473. Sequence in context: A113240 A098376 A028259 * A283684 A325285 A323348 Adjacent sequences:  A327469 A327470 A327471 * A327473 A327474 A327475 KEYWORD nonn AUTHOR Gus Wiseman, Sep 13 2019 STATUS approved

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Last modified March 29 17:16 EDT 2020. Contains 333115 sequences. (Running on oeis4.)