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%I #12 May 19 2021 05:16:10
%S 0,2,1,30,125,600,3150
%N Number of elements of GF(5^n) with trace 1 and subtrace 2.
%C Same as the number of elements of GF(5^n) with trace 2 and subtrace 3. Same as the number of elements of GF(5^n) with trace 3 and subtrace 3. Same as the number of elements of GF(5^n) with trace 4 and subtrace 2.
%H F. Ruskey, <a href="http://combos.org/TSGF5">Number of Elements of GF(5^n) with given trace and subtrace</a>
%e a(2;4,2)=2. Let GF(5^2) be defined by the field extension GF(5)[x]/( 2+b+b^2 ). The two elements of GF(5^2) with trace 4 and subtrace 2 are { b, 4+4b }.
%Y Cf. A074006, A074007, A074008, A074009, A074010, A074012, A074013.
%K nonn,more
%O 1,2
%A _Frank Ruskey_ and Nate Kube, Aug 19 2002
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