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A192215
Number of zero trace primitive elements in Galois field GF(11^n).
6
0, 0, 48, 320, 5925, 33936, 691880, 5107200, 69610716, 628484000
OFFSET
1,3
FORMULA
a(n) = n * A192510(n). - Joerg Arndt, Jul 03 2011
PROG
(Sage)
def a(n):
ans = 0
for x in GF(11^n):
if x!=0 and x.trace()==0 and x.multiplicative_order()==11^n-1: ans += 1
return ans # Robin Visser, May 10 2024
CROSSREFS
Cf. A192211, A192212, A192213, A192214, A192216 for other primes.
Sequence in context: A211752 A211763 A134607 * A347613 A280022 A223396
KEYWORD
nonn,hard,more
AUTHOR
Pasha Zusmanovich, Jun 25 2011
EXTENSIONS
a(6)-a(7) from A192510 by Jean-François Alcover, Mar 02 2020
a(8)-a(10) from Robin Visser, May 10 2024
STATUS
approved