A319161 - OEIS

A319161

Numbers whose prime multiplicities appear with relatively prime multiplicities.

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

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OFFSET

1,2

COMMENTS

Numbers n such that A181819(n) is not a perfect power (i.e. belongs to A007916).

LINKS

Table of n, a(n) for n=1..66.

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: A212165 A367685 A344586 * A325370 A329139 A356862

Adjacent sequences: A319158 A319159 A319160 * A319162 A319163 A319164

KEYWORD

nonn

AUTHOR

Gus Wiseman, Sep 12 2018

STATUS

approved