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A074017
Number of elements of GF(7^n) with trace 1 and subtrace 0.
9
1, 0, 6, 42, 350, 2450, 16807, 117649, 823200, 5762400, 40356008, 282492056
OFFSET
1,3
COMMENTS
Same as the number of elements of GF(7^n) with trace 2 and subtrace 0. Same as the number of elements of GF(7^n) with trace 3 and subtrace 0. Same as the number of elements of GF(7^n) with trace 4 and subtrace 0. Same as the number of elements of GF(7^n) with trace 5 and subtrace 0. Same as the number of elements of GF(7^n) with trace 6 and subtrace 0.
PROG
(Sage)
def a(n):
if n==1: return 1
ans = 0
for x in GF(7^n):
if x.charpoly().coefficients(sparse=False)[-3:-1]==[0, 1]: 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