A006609 Number of cyclic neofields of order n. (Formerly M0882)

1, 2, 3, 8, 19, 64, 225, 928, 3441, 17536, 79259, 454016, 2424195, 15628288, 94471089, 679156224, 4613520889, 36563599360

Offset

4,2

Comments

Also the number of (n,1)-partial orthomorphisms. - Pei Jisheng, Dec 06 2012

References

D. F. Hsu, Cyclic Neofields and Combinatorial Designs, Lect. Notes Math. 824 (1980). See p. 189.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

D. S. Stones, I. M. Wanless, A Congruence Connecting Latin Rectangles and Partial Orthomorphisms, 2012

Links

Table of n, a(n) for n=4..21.

Crossrefs

Sequence in context: A243335 A303835 A007999 * A005663 A112834 A042697

Adjacent sequences: A006606 A006607 A006608 * A006610 A006611 A006612

Keyword

hard,nonn,nice

Author

N. J. A. Sloane, Simon Plouffe

Status

approved