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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
OFFSET
1,3
COMMENTS
Same as the number of elements of GF(3^n) with trace 2 and subtrace 1.
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
KEYWORD
nonn,more
AUTHOR
Frank Ruskey and Nate Kube, Aug 19 2002
STATUS
approved