[go: up one dir, main page]

login
A074016
Number of elements of GF(7^n) with trace 0 and subtrace 3.
9
0, 0, 6, 56, 350, 2450, 16464, 117992, 823200, 5767202, 40356008, 282458442
OFFSET
1,3
COMMENTS
Same as the number of elements of GF(7^n) with trace 0 and subtrace 5. Same as the number of elements of GF(7^n) with trace 0 and subtrace 6.
PROG
(Sage)
def a(n):
ans = 0
for x in GF(7^n):
if x.charpoly().coefficients(sparse=False)[-3:-1]==[3, 0]: ans += 1
return ans # Robin Visser, May 13 2024
KEYWORD
nonn,more
AUTHOR
Frank Ruskey and Nate Kube, Aug 19 2002
EXTENSIONS
a(8)-a(12) from Robin Visser, May 13 2024
STATUS
approved