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 A319160 Number of integer partitions of n whose multiplicities appear with relatively prime multiplicities. 6
 1, 2, 2, 4, 5, 7, 11, 16, 22, 31, 45, 58, 83, 108, 142, 188, 250, 315, 417, 528, 674, 861, 1094, 1363, 1724, 2152, 2670, 3311, 4105, 5021, 6193, 7561, 9216, 11219, 13614, 16419, 19886, 23920, 28733, 34438, 41272, 49184, 58746, 69823, 82948, 98380, 116567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE The a(8) = 16 partitions:   (8),   (44),   (332), (422), (611),   (2222), (3221), (4211), (5111),   (22211), (32111), (41111),   (221111), (311111),   (2111111),   (11111111). Missing from this list are: (53), (62), (71), (431), (521), (3311). MATHEMATICA Table[Length[Select[IntegerPartitions[n], GCD@@Length/@Split[Sort[Length/@Split[#]]]==1&]], {n, 30}] CROSSREFS Cf. A000837, A001597, A007916, A047966, A098859, A100953, A181819, A182850, A305563, A319149, A319161, A319162, A319164. Sequence in context: A238494 A325550 A325330 * A292382 A296561 A300121 Adjacent sequences:  A319157 A319158 A319159 * A319161 A319162 A319163 KEYWORD nonn AUTHOR Gus Wiseman, Sep 12 2018 STATUS approved

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Last modified December 15 17:03 EST 2019. Contains 330000 sequences. (Running on oeis4.)