Search: id:A074023
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%I A074023
%S A074023 0,2,6,56,301,2450,16807
%N A074023 Number of elements of GF(7^n) with trace 1 and subtrace 6.
%C A074023 Same as the number of elements of GF(7^n) with trace 2 and subtrace 3. 
               Same as the number of elements of GF(7^n) with trace 3 and subtrace 
               5. Same as the number of elements of GF(7^n) with trace 4 and subtrace 
               5. Same as the number of elements of GF(7^n) with trace 5 and subtrace 
               3. Same as the number of elements of GF(7^n) with trace 6 and subtrace 
               6.
%H A074023 F. Ruskey, <a href="http://www.theory.csc.uvic.ca/~cos/inf/trs/f_elms/
               Fq/f_elms_tr_subtr_F7.html">Number of Elements of GF(7^n) with given 
               trace and subtrace</a>
%e A074023 a(3;1,6)=6. Let GF(7^3) be defined by the field extension GF(7)[x]/( 
               3+b^2+b^3 ). The six elements of GF(7^3) with trace 1 and subtrace 
               6 are { 1+2b, 2+5b, 1+3b+b^2, 4+5b+b^2, 6+2b+6b^2, 2+4b+6b^2 }.
%Y A074023 Cf. A074014, A074015, A074016, A074017, A074018, A074019, A074020, A074021, 
               A074022.
%Y A074023 Sequence in context: A122593 A153450 A084123 this_sequence A000146 A014070 
               A132525
%Y A074023 Adjacent sequences: A074020 A074021 A074022 this_sequence A074024 A074025 
               A074026
%K A074023 easy,nonn
%O A074023 1,2
%A A074023 Frank Ruskey, Nate Kube (fruskey(AT)cs.uvic.ca), Aug 19 2002

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