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 A192511 Number of conjugacy classes of primitive elements in GF(13^n) which have trace 0. 6
 0, 0, 18, 112, 1904, 17184 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Also number of primitive polynomials of degree n over GF(13) whose second-highest coefficient is 0. LINKS FORMULA a(n) = A192216(n) / n. PROG (GAP) p := 13; a := function(n)     local q, k, cnt, x;     q:=p^n;  k:=GF(p, n);  cnt:=0;     for x in k do         if Trace(k, GF(p), x)=0*Z(p) and Order(x)=q-1 then             cnt := cnt+1;         fi;     od;     return cnt/n; end; for n in [1..16] do  Print (a(n), ", ");  od; (Sage) # See A192507 (change first line p=3 to p=13) CROSSREFS Cf. A152049 (GF(2^n)), A192507 (GF(3^n)), A192508 (GF(5^n)), A192509 (GF(7^n)), A192510 (GF(11^n)). Sequence in context: A213562 A041622 A160765 * A324623 A244866 A125328 Adjacent sequences:  A192508 A192509 A192510 * A192512 A192513 A192514 KEYWORD nonn,hard,more AUTHOR Joerg Arndt, Jul 03 2011 STATUS approved

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Last modified May 26 09:52 EDT 2019. Contains 323579 sequences. (Running on oeis4.)