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 A192212 #20 Jun 02 2025 04:11:28 %S A192212 0,0,3,8,35,84,364,832,2997,8700,28281,55080,265720,794304,2006730, %T A192212 5240928,21511647,47028492,193587884,415388400,1607804226 %N A192212 Number of zero trace primitive elements in Galois field GF(3^n). %F A192212 a(n) = n * A192507(n). [_Joerg Arndt_, Oct 03 2012] %o A192212 (Sage) %o A192212 def a(n): %o A192212 ans = 0 %o A192212 for x in GF(3^n): %o A192212 if x!=0 and x.trace()==0 and x.multiplicative_order()==3^n-1: ans += 1 %o A192212 return ans # _Robin Visser_, Apr 26 2024 %Y A192212 Cf. A192211, A192213, A192214, A192215, A192216 for other primes %K A192212 nonn,hard,more %O A192212 1,3 %A A192212 _Pasha Zusmanovich_, Jun 25 2011 %E A192212 a(12)-a(17) from _Joerg Arndt_, Oct 03 2012 %E A192212 a(18)-a(21) from _Robin Visser_, Apr 26 2024