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A074009
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Number of elements of GF(5^n) with trace 1 and subtrace 0.
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7
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1, 0, 6, 30, 125, 625, 3150, 15750, 78000, 390625, 1955625, 9762500, 48831250, 244156250
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OFFSET
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1,3
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COMMENTS
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Same as the number of elements of GF(5^n) with trace 2 and subtrace 0. Same as the number of elements of GF(5^n) with trace 3 and subtrace 0. Same as the number of elements of GF(5^n) with trace 4 and subtrace 0.
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LINKS
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PROG
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(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, 1]: ans += 1
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CROSSREFS
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KEYWORD
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nonn,more,changed
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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