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URL: https://oeis.org/A006609

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A006609
Number of cyclic neofields of order n.
1
1, 2, 3, 8, 19, 64, 225, 928, 3441, 17536, 79259, 454016, 2424195, 15628288, 94471089, 679156224, 4613520889, 36563599360, 275148653115
OFFSET
4,2
COMMENTS
Also the number of (n-1,1)-partial orthomorphisms. - Pei Jisheng, Dec 06 2012; corrected by Max Alekseyev, May 17 2025
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
D. F. Hsu, Cyclic Neofields and Combinatorial Designs, Lect. Notes Math. 824 (1980). See p. 189.
D. S. Stones and I. M. Wanless, A congruence connecting Latin rectangles and partial orthomorphisms, Ann. Comb. 16, No. 2, 349-365 (2012).
FORMULA
a(2n) = A003111(n-1). - Max Alekseyev, May 17 2025
CROSSREFS
Sequence in context: A243335 A303835 A007999 * A005663 A112834 A042697
KEYWORD
hard,nonn,nice,more
EXTENSIONS
a(22) from A003111 added by Max Alekseyev, May 17 2025
STATUS
approved