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 A319162 Number of periodic integer partitions of n whose multiplicities are aperiodic, meaning the multiplicities of these multiplicities are relatively prime. 9
 0, 1, 1, 2, 1, 3, 1, 4, 2, 6, 1, 9, 1, 12, 6, 16, 1, 27, 1, 33, 12, 46, 1, 70, 5, 84, 22, 110, 1, 172, 1, 188, 46, 251, 15, 366, 1, 418, 84, 540, 1, 775, 1, 863, 162, 1095, 1, 1535, 11, 1750, 251, 2154, 1, 2963, 49, 3323, 418, 4106, 1, 5567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS EXAMPLE The a(12) = 9 partitions:   (66),   (444), (441111),   (3333), (33111111),   (222222), (222111111), (2211111111),   (111111111111). MATHEMATICA Table[Length[Select[IntegerPartitions[n], And[GCD@@Sort[Length/@Split[#]]>1, GCD@@Length/@Split[Sort[Length/@Split[#]]]==1]&]], {n, 30}] CROSSREFS Cf. A000837, A018783, A047966, A098859, A100953, A305563, A319149, A319160, A319163, A319164. Sequence in context: A059499 A113322 A007380 * A029171 A322994 A256147 Adjacent sequences:  A319159 A319160 A319161 * A319163 A319164 A319165 KEYWORD nonn AUTHOR Gus Wiseman, Sep 12 2018 STATUS approved

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Last modified July 27 04:32 EDT 2021. Contains 346305 sequences. (Running on oeis4.)