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A192214
Number of zero trace primitive elements in Galois field GF(7^n).
6
0, 0, 9, 80, 800, 5076, 37982, 218880, 1770660, 12155480, 94076488, 447960240
OFFSET
1,3
FORMULA
a(n) = n * A192509(n). - Joerg Arndt, Jul 03 2011
PROG
(Sage)
def a(n):
ans = 0
for x in GF(7^n):
if x!=0 and x.trace()==0 and x.multiplicative_order()==7^n-1: ans += 1
return ans # Robin Visser, Jun 01 2024
CROSSREFS
Cf. A192211, A192212, A192213, A192215, A192216 for other primes.
Cf. A192509.
Sequence in context: A242632 A018913 A359921 * A127265 A055070 A143848
KEYWORD
nonn,hard,more
AUTHOR
Pasha Zusmanovich, Jun 25 2011
EXTENSIONS
a(7)-a(9) added using the data at A192509 by Amiram Eldar, May 03 2024
a(10)-a(12) from Robin Visser, Jun 01 2024
STATUS
approved