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A192216
Number of zero trace primitive elements in Galois field GF(13^n).
6
0, 0, 54, 448, 9520, 103104, 1608936, 13488064, 267423822
OFFSET
1,3
FORMULA
a(n) = n * A192511(n). - Joerg Arndt, Jul 03 2011
PROG
(Sage)
def a(n):
ans = 0
for x in GF(13^n):
if x!=0 and x.trace()==0 and x.multiplicative_order()==13^n-1: ans += 1
return ans # Robin Visser, Jun 01 2024
CROSSREFS
Cf. A192211, A192212, A192213, A192214, A192215 for other primes.
Cf. A192511.
Sequence in context: A262853 A230921 A239687 * A238908 A233364 A222968
KEYWORD
nonn,hard,more
AUTHOR
Pasha Zusmanovich, Jun 25 2011
EXTENSIONS
a(6) added using the data at A192511 by Amiram Eldar, May 03 2024
a(7)-a(9) from Robin Visser, Jun 01 2024
STATUS
approved