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 A074004 Number of elements of GF(3^n) with trace 1 and subtrace 1. 5
 0, 1, 3, 12, 21, 81, 252, 729, 2187, 6480, 19845, 59049, 176904, 530712, 1594323, 4785156, 14351094, 43046721, 129146724, 387440172 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Same as the number of elements of GF(3^n) with trace 2 and subtrace 1. LINKS Table of n, a(n) for n=1..20. F. Ruskey, Number of Elements of GF(3^n) with given trace and subtrace EXAMPLE 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 }. CROSSREFS Cf. A074000, A074001, A074002, A074003, A074005. Sequence in context: A091846 A061262 A051656 * A088099 A110419 A031223 Adjacent sequences: A074001 A074002 A074003 * A074005 A074006 A074007 KEYWORD nonn,more AUTHOR Frank Ruskey and Nate Kube, Aug 19 2002 STATUS approved

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Last modified June 23 08:04 EDT 2024. Contains 373629 sequences. (Running on oeis4.)