A074009 Number of elements of GF(5^n) with trace 1 and subtrace 0.

1, 0, 6, 30, 125, 625, 3150, 15750, 78000, 390625, 1955625, 9762500, 48831250, 244156250

Offset

1,3

Comments

Same as the number of elements of GF(5^n) with trace 2 and subtrace 0. Same as the number of elements of GF(5^n) with trace 3 and subtrace 0. Same as the number of elements of GF(5^n) with trace 4 and subtrace 0.

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

Crossrefs

Cf. A074006, A074007, A074008, A074010, A074011, A074012, A074013.

Sequence in context: A266945 A369819 A073970 * A248328 A366058 A356835

Adjacent sequences: A074006 A074007 A074008 * A074010 A074011 A074012

Keyword

nonn,more,changed

Author

Frank Ruskey and Nate Kube, Aug 19 2002

Extensions

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

Status

approved