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A074001 Number of elements of GF(3^n) with trace 0 and subtrace 1. 5
0, 2, 0, 12, 30, 72, 252, 702, 2268, 6480, 19602, 59292, 177633, 532170, 1594323, 4782969, 14351094, 43046721, 129127041, 387400806 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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(2;0,1)=2. Let GF(3^2) be defined by the field extension GF(3)[x]/( 2+b+b^2 ). The two elements of GF(3^2) with trace 0 and subtrace 1 are { 2+b, 1+2b }.

CROSSREFS

Cf. A074000, A074002, A074003, A074004, A074005.

Sequence in context: A002929 A112261 A134831 * A228621 A180189 A182437

Adjacent sequences:  A073998 A073999 A074000 * A074002 A074003 A074004

KEYWORD

nonn,more

AUTHOR

Frank Ruskey and Nate Kube, Aug 19 2002

STATUS

approved

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Last modified June 20 10:13 EDT 2019. Contains 324234 sequences. (Running on oeis4.)