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%I #22 May 10 2024 08:50:11
%S 0,0,48,320,5925,33936,691880,5107200,69610716,628484000
%N Number of zero trace primitive elements in Galois field GF(11^n).
%F a(n) = n * A192510(n). - _Joerg Arndt_, Jul 03 2011
%o (Sage)
%o def a(n):
%o ans = 0
%o for x in GF(11^n):
%o if x!=0 and x.trace()==0 and x.multiplicative_order()==11^n-1: ans += 1
%o return ans # _Robin Visser_, May 10 2024
%Y Cf. A192211, A192212, A192213, A192214, A192216 for other primes.
%K nonn,hard,more
%O 1,3
%A _Pasha Zusmanovich_, Jun 25 2011
%E a(6)-a(7) from A192510 by _Jean-François Alcover_, Mar 02 2020
%E a(8)-a(10) from _Robin Visser_, May 10 2024
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