A074007 Number of elements of GF(5^n) with trace 0 and subtrace 1.

0, 0, 6, 30, 100, 650, 3150, 15500, 78000, 391250, 1952500, 9762500, 48831250, 244156250

Offset

1,3

Comments

Same as the number of elements of GF(5^n) with trace 0 and subtrace 4.

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]==[1, 0]: ans += 1
    return ans  # Robin Visser, Apr 26 2024

Crossrefs

Cf. A074006, A074008, A074009, A074010, A074011, A074012, A074013.

Sequence in context: A101855 A008525 A101375 * A152573 A348257 A353894

Adjacent sequences: A074004 A074005 A074006 * A074008 A074009 A074010

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