A163861 Number of different 5th-power (quintic) mappings of a finite set of n elements into itself.

1, 1, 4, 21, 148, 1281, 12942, 150955, 2042272, 31912425, 567737326

Offset

0,3

Comments

The same as A102687 (square composition), A163859 (cubic composition), A163860 (4th-power composition), here a(n) is the number of different mappings g that admit at least one mapping f as the 5th-order root (g=fofofofof) in terms of the composition.

Links

Table of n, a(n) for n=0..10.

Crossrefs

Cf. A102687, A163859, A163860.

Column k=5 of A247026.

Sequence in context: A307525 A345749 A327872 * A247054 A006153 A286286

Adjacent sequences: A163858 A163859 A163860 * A163862 A163863 A163864

Keyword

more,nonn

Author

Carlos Alves, Aug 05 2009

Extensions

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

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

Status

approved