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.

A192216 Number of zero trace primitive elements in Galois field GF(13^n).

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%I A192216 #21 Jun 02 2024 08:22:32
%S A192216 0,0,54,448,9520,103104,1608936,13488064,267423822
%N A192216 Number of zero trace primitive elements in Galois field GF(13^n).
%F A192216 a(n) = n * A192511(n). - _Joerg Arndt_, Jul 03 2011
%o A192216 (Sage)
%o A192216 def a(n):
%o A192216     ans = 0
%o A192216     for x in GF(13^n):
%o A192216         if x!=0 and x.trace()==0 and x.multiplicative_order()==13^n-1: ans += 1
%o A192216     return ans  # _Robin Visser_, Jun 01 2024
%Y A192216 Cf. A192211, A192212, A192213, A192214, A192215 for other primes.
%Y A192216 Cf. A192511.
%K A192216 nonn,hard,more
%O A192216 1,3
%A A192216 _Pasha Zusmanovich_, Jun 25 2011
%E A192216 a(6) added using the data at A192511 by _Amiram Eldar_, May 03 2024
%E A192216 a(7)-a(9) from _Robin Visser_, Jun 01 2024