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Number of different 5th-power (quintic) mappings of a finite set of n elements into itself.
3

%I #14 Feb 02 2021 20:28:31

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

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

%C 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.

%Y Cf. A102687, A163859, A163860.

%Y Column k=5 of A247026.

%K more,nonn

%O 0,3

%A _Carlos Alves_, Aug 05 2009

%E a(0) from _Alois P. Heinz_, Sep 09 2014

%E a(8)-a(10) from _Bert Dobbelaere_, Jan 24 2019