|
| |
|
|
A006609
|
|
Number of cyclic neofields of order n.
(Formerly M0882)
|
|
0
|
|
|
|
1, 2, 3, 8, 19, 64, 225, 928, 3441, 17536, 79259, 454016, 2424195, 15628288, 94471089, 679156224, 4613520889, 36563599360
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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: A077269 A148043 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
|
| |
|
|