A074012 Number of elements of GF(5^n) with trace 1 and subtrace 3.

0, 0, 6, 20, 125, 600, 3150, 15500, 78000, 390625, 1952500, 9762500, 48831250, 244125000

Offset

1,3

Comments

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

Links

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

Frank 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]==[3, 1]: ans += 1
    return ans  # Robin Visser, Apr 26 2024

Crossrefs

Cf. A074006, A074007, A074008, A074009, A074010, A074011, A074013.

Sequence in context: A099840 A223045 A245855 * A074013 A333896 A114959

Adjacent sequences: A074009 A074010 A074011 * A074013 A074014 A074015

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