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.

A192214 Number of zero trace primitive elements in Galois field GF(7^n).

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%I A192214 #24 Jun 02 2024 08:22:57
%S A192214 0,0,9,80,800,5076,37982,218880,1770660,12155480,94076488,447960240
%N A192214 Number of zero trace primitive elements in Galois field GF(7^n).
%F A192214 a(n) = n * A192509(n). - _Joerg Arndt_, Jul 03 2011
%o A192214 (Sage)
%o A192214 def a(n):
%o A192214     ans = 0
%o A192214     for x in GF(7^n):
%o A192214         if x!=0 and x.trace()==0 and x.multiplicative_order()==7^n-1: ans += 1
%o A192214     return ans  # _Robin Visser_, Jun 01 2024
%Y A192214 Cf. A192211, A192212, A192213, A192215, A192216 for other primes.
%Y A192214 Cf. A192509.
%K A192214 nonn,hard,more
%O A192214 1,3
%A A192214 _Pasha Zusmanovich_, Jun 25 2011
%E A192214 a(7)-a(9) added using the data at A192509 by _Amiram Eldar_, May 03 2024
%E A192214 a(10)-a(12) from _Robin Visser_, Jun 01 2024