A074008 Number of elements of GF(5^n) with trace 0 and subtrace 2.

0, 2, 6, 20, 150, 600, 3150, 15750, 78000, 391250, 1952500, 9768750, 48831250, 244125000

Offset

1,2

Comments

Same as the number of elements of GF(5^n) with trace 0 and subtrace 3.

Links

Table of n, a(n) for n=1..14.

F. Ruskey, Number of Elements of GF(5^n) with given trace and subtrace

Prog

(Sage)
def a(n):
    ans = 0
    for x in GF(5^n):
        if x.charpoly().coefficients(sparse=False)[-3:-1]==[2, 0]: ans += 1
    return ans  # Robin Visser, Apr 26 2024

Crossrefs

Cf. A074006, A074007, A074009, A074010, A074011, A074012, A074013.

Sequence in context: A013203 A007847 A274714 * A156334 A296519 A082690

Adjacent sequences: A074005 A074006 A074007 * A074009 A074010 A074011

Keyword

nonn,more

Author

Frank Ruskey and Nate Kube, Aug 19 2002

Extensions

a(8)-a(14) from Robin Visser, Apr 26 2024

Status

approved