A327499 - OEIS

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A327499

Quotient of n over the maximum divisor of n whose prime multiplicities are distinct.

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 3, 2, 5, 2, 1, 2, 3, 1, 1, 6, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 3, 2, 1, 3, 1, 2, 1, 1, 5, 6, 1, 1, 3, 10, 1, 1, 1, 2, 1, 1, 7, 6, 1, 1, 1, 2, 1, 3, 5, 2, 3, 1, 1, 2, 7, 1, 3, 2, 5, 1, 1, 1, 1, 2, 1, 6, 1, 1, 15

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OFFSET

1,6

COMMENTS

A number's prime multiplicities are also called its (unsorted) prime signature.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Gus Wiseman, Sequences counting and encoding certain classes of multisets

FORMULA

a(n) = n/A327498(n).

EXAMPLE

The maximum such divisor of 60 is 20, so a(60) = 3.