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.
%I A192213 #20 May 10 2024 08:50:08 %S A192213 0,0,12,32,270,840,7812,23808,178452,583880,4882812,12434160, %T A192213 122070312,391954136,2630952180 %N A192213 Number of zero trace primitive elements in Galois field GF(5^n). %F A192213 a(n) = n * A192508(n). - _Joerg Arndt_, Jul 03 2011 %o A192213 (Sage) %o A192213 def a(n): %o A192213 ans = 0 %o A192213 for x in GF(5^n): %o A192213 if x!=0 and x.trace()==0 and x.multiplicative_order()==5^n-1: ans += 1 %o A192213 return ans # _Robin Visser_, May 10 2024 %Y A192213 Cf. A192508. %Y A192213 Cf. A192211, A192212, A192214, A192215, A192216 for other primes. %K A192213 nonn,hard,more %O A192213 1,3 %A A192213 _Pasha Zusmanovich_, Jun 25 2011 %E A192213 a(9)-a(11) from _Joerg Arndt_, Oct 03 2012 %E A192213 a(12)-a(15) from _Robin Visser_, May 10 2024