A163860 Number of different 4th-power (quartic) mappings of a finite set of n elements into itself.

1, 1, 3, 12, 73, 580, 5721, 69244, 1000210, 16319601, 297453340

Offset: 0

Author

Carlos Alves, Aug 05 2009

Keywords

• more
• nonn

Comments

The same as A102687 for square composition, as A163859 for cubic compositions, here a(n) is the number of different mappings g that admit at least one mapping f as the 4th-order root (g=fofofof) in terms of the composition.

Crossrefs

Cf. A102687, A163859.

Column k=4 of A247026.

Extensions

a(0) from Alois P. Heinz, Sep 09 2014

a(8)-a(10) from Bert Dobbelaere, Jan 24 2019