A074016 Number of elements of GF(7^n) with trace 0 and subtrace 3.

0, 0, 6, 56, 350, 2450, 16464, 117992, 823200, 5767202, 40356008, 282458442

Offset

1,3

Comments

Same as the number of elements of GF(7^n) with trace 0 and subtrace 5. Same as the number of elements of GF(7^n) with trace 0 and subtrace 6.

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):
    ans = 0
    for x in GF(7^n):
        if x.charpoly().coefficients(sparse=False)[-3:-1]==[3, 0]: ans += 1
    return ans  # Robin Visser, May 13 2024

Crossrefs

Cf. A074014, A074015, A074017, A074018, A074019, A074020, A074021, A074022, A074023.

Sequence in context: A210325 A074019 A074018 * A183513 A277975 A347718

Adjacent sequences: A074013 A074014 A074015 * A074017 A074018 A074019

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