cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A006609 Number of cyclic neofields of order n.

This page as a plain text file.
%I A006609 M0882 #25 May 18 2025 02:22:57
%S A006609 1,2,3,8,19,64,225,928,3441,17536,79259,454016,2424195,15628288,
%T A006609 94471089,679156224,4613520889,36563599360,275148653115
%N A006609 Number of cyclic neofields of order n.
%C A006609 Also the number of (n-1,1)-partial orthomorphisms. - Pei Jisheng, Dec 06 2012; corrected by _Max Alekseyev_, May 17 2025
%D A006609 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006609 D. F. Hsu, <a href="https://doi.org/10.1007/BFb0089027">Cyclic Neofields and Combinatorial Designs</a>, Lect. Notes Math. 824 (1980). See p. 189.
%H A006609 D. S. Stones, I. M. Wanless, <a href="https://doi.org/10.1007/s00026-012-0137-6">A congruence connecting Latin rectangles and partial orthomorphisms</a>, Ann. Comb. 16, No. 2, 349-365 (2012).
%F A006609 a(2n) = A003111(n-1). - _Max Alekseyev_, May 17 2025
%K A006609 hard,nonn,nice,more
%O A006609 4,2
%A A006609 _N. J. A. Sloane_, _Simon Plouffe_
%E A006609 a(22) from A003111 added by _Max Alekseyev_, May 17 2025