A074007 - OEIS

%I #16 Apr 26 2024 12:22:35

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

%T 244156250

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

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

%H F. Ruskey, <a href="http://combos.org/TSGF5">Number of Elements of GF(5^n) with given trace and subtrace</a>

%o (Sage)

%o def a(n):

%o     ans = 0

%o     for x in GF(5^n):

%o         if x.charpoly().coefficients(sparse=False)[-3:-1]==[1, 0]: ans += 1

%o     return ans  # _Robin Visser_, Apr 26 2024

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

%K nonn,more

%O 1,3

%A _Frank Ruskey_ and Nate Kube, Aug 19 2002

%E a(8)-a(14) from _Robin Visser_, Apr 26 2024