A074020 Number of elements of GF(7^n) with trace 1 and subtrace 3.

0, 2, 6, 49, 350, 2352, 16807, 117992, 823200, 5767202, 40339201, 282492056

Offset

1,2

Comments

Same as the number of elements of GF(7^n) with trace 2 and subtrace 5. Same as the number of elements of GF(7^n) with trace 3 and subtrace 6. Same as the number of elements of GF(7^n) with trace 4 and subtrace 6. Same as the number of elements of GF(7^n) with trace 5 and subtrace 5. Same as the number of elements of GF(7^n) with trace 6 and subtrace 3.

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

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

Crossrefs

Cf. A074014, A074015, A074016, A074017, A074018, A074019, A074021, A074022, A074023.

Sequence in context: A126023 A088679 A161766 * A080310 A103990 A079835

Adjacent sequences: A074017 A074018 A074019 * A074021 A074022 A074023

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