A074017 - OEIS

A074017

Number of elements of GF(7^n) with trace 1 and subtrace 0.

1, 0, 6, 42, 350, 2450, 16807, 117649, 823200, 5762400, 40356008, 282492056

(list; graph; refs; listen; history; text; internal format)

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.

LINKS

Table of n, a(n) for n=1..12.

Frank Ruskey, Number of Elements of GF(7^n) with given trace and subtrace

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

CROSSREFS