A074009 - OEIS

A074009

Number of elements of GF(5^n) with trace 1 and subtrace 0.

1, 0, 6, 30, 125, 625, 3150, 15750, 78000, 390625, 1955625, 9762500, 48831250, 244156250

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OFFSET

1,3

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..14.

F. Ruskey, Number of Elements of GF(5^n) with given trace and subtrace

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, 1]: ans += 1

return ans # Robin Visser, Apr 26 2024

CROSSREFS

Cf. A074006, A074007, A074008, A074010, A074011, A074012, A074013.

Sequence in context: A266945 A369819 A073970 * A248328 A366058 A356835

Adjacent sequences: A074006 A074007 A074008 * A074010 A074011 A074012

KEYWORD

nonn,more

AUTHOR

Frank Ruskey and Nate Kube, Aug 19 2002

EXTENSIONS

a(8)-a(14) from Robin Visser, Apr 26 2024

STATUS

approved