A074014 Number of elements of GF(7^n) with trace 0 and subtrace 0.

1, 1, 13, 49, 301, 2401, 16807, 117649, 825601, 5764801, 40339201, 282475249

Offset

1,3

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

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

Crossrefs

Cf. A074015, A074016, A074017, A074018, A074019, A074020, A074021, A074022, A074023.

Sequence in context: A146782 A373578 A320469 * A147481 A245138 A373620

Adjacent sequences: A074011 A074012 A074013 * A074015 A074016 A074017

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