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A074006
Number of elements of GF(5^n) with trace 0 and subtrace 0.
7
1, 1, 1, 25, 125, 625, 3025, 15625, 78625, 388125, 1955625, 9765625, 48815625, 244140625
OFFSET
1,4
PROG
(Sage)
def a(n):
if n==1: return 1
ans = 0
for x in GF(5^n):
if x.charpoly().coefficients(sparse=False)[-3:-1]==[0, 0]: ans += 1
return ans # Robin Visser, Apr 26 2024
KEYWORD
easy,nonn,more
AUTHOR
Frank Ruskey and Nate Kube, Aug 19 2002
EXTENSIONS
a(8)-a(14) from Robin Visser, Apr 26 2024
STATUS
approved