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 A319161 Numbers whose prime multiplicities appear with relatively prime multiplicities. 8
 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 16, 17, 18, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 37, 40, 41, 43, 44, 45, 47, 48, 49, 50, 52, 53, 54, 56, 59, 60, 61, 63, 64, 67, 68, 71, 72, 73, 75, 76, 79, 80, 81, 83, 84, 88, 89, 90, 92, 96, 97, 98, 99, 101, 103, 104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers n such that A181819(n) is not a perfect power (i.e. belongs to A007916). LINKS EXAMPLE The sequence of integer partitions whose Heinz numbers are in the sequence begins: (), (1), (2), (11), (3), (4), (111), (22), (5), (211), (6), (1111), (7), (221), (8), (311), (9), (2111), (33), (222), (411). MATHEMATICA Select[Range[100], GCD@@Length/@Split[Sort[FactorInteger[#][[All, 2]]]]==1&] CROSSREFS Cf. A001597, A007916, A056239, A072774, A181819, A182850, A289509, A296150, A298748, A305732, A319151, A319160, A319163, A319165. Sequence in context: A285901 A246716 A212165 * A325370 A329139 A130091 Adjacent sequences:  A319158 A319159 A319160 * A319162 A319163 A319164 KEYWORD nonn AUTHOR Gus Wiseman, Sep 12 2018 STATUS approved

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Last modified December 11 18:34 EST 2019. Contains 329925 sequences. (Running on oeis4.)