A074015 Number of elements of GF(7^n) with trace 0 and subtrace 1.

0, 2, 6, 42, 350, 2352, 17150, 117306, 823200, 5762400, 40356008, 282492056

Offset

1,2

Comments

Same as the number of elements of GF(7^n) with trace 0 and subtrace 2. Same as the number of elements of GF(7^n) with trace 0 and subtrace 4.

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]==[1, 0]: ans += 1
    return ans  # Robin Visser, May 13 2024

Crossrefs

Cf. A074014, A074016, A074017, A074018, A074019, A074020, A074021, A074022, A074023.

Sequence in context: A151333 A190626 A191975 * A074021 A364407 A050862

Adjacent sequences: A074012 A074013 A074014 * A074016 A074017 A074018

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