A192216 - OEIS

%I #21 Jun 02 2024 08:22:32

%S 0,0,54,448,9520,103104,1608936,13488064,267423822

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

%F a(n) = n * A192511(n). - _Joerg Arndt_, Jul 03 2011

%o (Sage)

%o def a(n):

%o     ans = 0

%o     for x in GF(13^n):

%o         if x!=0 and x.trace()==0 and x.multiplicative_order()==13^n-1: ans += 1

%o     return ans  # _Robin Visser_, Jun 01 2024

%Y Cf. A192211, A192212, A192213, A192214, A192215 for other primes.

%Y Cf. A192511.

%K nonn,hard,more

%O 1,3

%A _Pasha Zusmanovich_, Jun 25 2011

%E a(6) added using the data at A192511 by _Amiram Eldar_, May 03 2024

%E a(7)-a(9) from _Robin Visser_, Jun 01 2024