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A319161
Numbers whose prime multiplicities appear with relatively prime multiplicities.
10
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
OFFSET
1,2
COMMENTS
Numbers n such that A181819(n) is not a perfect power (i.e. belongs to A007916).
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&]
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 12 2018
STATUS
approved