

A327526


Maximum uniform divisor of n.


7



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 6, 13, 14, 15, 16, 17, 9, 19, 10, 21, 22, 23, 8, 25, 26, 27, 14, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 10, 41, 42, 43, 22, 15, 46, 47, 16, 49, 25, 51, 26, 53, 27, 55, 14, 57, 58, 59, 30, 61, 62, 21, 64, 65, 66, 67, 34
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OFFSET

1,2


COMMENTS

A number is uniform if its prime multiplicities are all equal, meaning it is a power of a squarefree number. Uniform numbers are listed in A072774. The number of uniform divisors of n is A327527(n).


LINKS

Table of n, a(n) for n=1..68.
Gus Wiseman, Sequences counting and encoding certain classes of multisets


EXAMPLE

The uniform divisors of 40 are {1, 2, 4, 5, 8, 10}, so a(40) = 10.


MATHEMATICA

Table[Max[Select[Divisors[n], SameQ@@Last/@FactorInteger[#]&]], {n, 100}]


CROSSREFS

See link for additional crossreferences.
Cf. A000005, A000961, A005117, A006530, A007947, A071625, A112798.
Sequence in context: A278063 A334684 A062759 * A121758 A121759 A265310
Adjacent sequences: A327523 A327524 A327525 * A327527 A327528 A327529


KEYWORD

nonn


AUTHOR

Gus Wiseman, Sep 16 2019


STATUS

approved



