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.

A192215 Number of zero trace primitive elements in Galois field GF(11^n).

This page as a plain text file.
%I A192215 #22 May 10 2024 08:50:11
%S A192215 0,0,48,320,5925,33936,691880,5107200,69610716,628484000
%N A192215 Number of zero trace primitive elements in Galois field GF(11^n).
%F A192215 a(n) = n * A192510(n). - _Joerg Arndt_, Jul 03 2011
%o A192215 (Sage)
%o A192215 def a(n):
%o A192215     ans = 0
%o A192215     for x in GF(11^n):
%o A192215         if x!=0 and x.trace()==0 and x.multiplicative_order()==11^n-1: ans += 1
%o A192215     return ans  # _Robin Visser_, May 10 2024
%Y A192215 Cf. A192211, A192212, A192213, A192214, A192216 for other primes.
%K A192215 nonn,hard,more
%O A192215 1,3
%A A192215 _Pasha Zusmanovich_, Jun 25 2011
%E A192215 a(6)-a(7) from A192510 by _Jean-François Alcover_, Mar 02 2020
%E A192215 a(8)-a(10) from _Robin Visser_, May 10 2024