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# N divided by the largest squarefree divisor of n

From OeisWiki

The n divided by the largest squarefree divisor of n (n divided by the squarefree kernel of n) function is

where is the squarefree kernel of .

This is a multiplicative arithmetic function, e.g.

where is the gcd function.

## Related formulae

The compositorial of is given by:

## Sequences

A003557 divided by largest squarefree divisor of .

- {1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 1, 2, 1, 1, 1, 8, 1, 3, 1, 2, 1, 1, 1, 4, 5, 1, 9, 2, 1, 1, 1, 16, 1, 1, 1, 6, 1, 1, 1, 4, 1, 1, 1, 2, 3, 1, 1, 8, 7, 5, 1, 2, 1, 9, 1, 4, 1, 1, 1, 2, 1, 1, 3, 32, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 5, 2, ...}