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A074004 Number of elements of GF(3^n) with trace 1 and subtrace 1. 5

%I #20 May 19 2021 05:15:19

%S 0,1,3,12,21,81,252,729,2187,6480,19845,59049,176904,530712,1594323,

%T 4785156,14351094,43046721,129146724,387440172

%N Number of elements of GF(3^n) with trace 1 and subtrace 1.

%C Same as the number of elements of GF(3^n) with trace 2 and subtrace 1.

%H F. Ruskey, <a href="http://combos.org/TSGF3">Number of Elements of GF(3^n) with given trace and subtrace</a>

%e a(3;2,1)=3. Let GF(3^3) be defined by the field extension GF(3)[x]/( 1+b+2b^2+b^3 ). The three elements of GF(3^3) with trace 2 and subtrace 1 are { 2b, 1+b^2, 1+b+2b^2 }.

%Y Cf. A074000, A074001, A074002, A074003, A074005.

%K nonn,more

%O 1,3

%A _Frank Ruskey_ and Nate Kube, Aug 19 2002

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Last modified April 30 08:41 EDT 2024. Contains 372131 sequences. (Running on oeis4.)