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A163860
Number of different 4th-power (quartic) mappings of a finite set of n elements into itself.
4
1, 1, 3, 12, 73, 580, 5721, 69244, 1000210, 16319601, 297453340
OFFSET
0,3
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
Column k=4 of A247026.
Sequence in context: A245506 A275385 A247055 * A246382 A104028 A074510
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