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A074011 Number of elements of GF(5^n) with trace 1 and subtrace 2. 7
0, 2, 1, 30, 125, 600, 3150 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same as the number of elements of GF(5^n) with trace 2 and subtrace 3. Same as the number of elements of GF(5^n) with trace 3 and subtrace 3. Same as the number of elements of GF(5^n) with trace 4 and subtrace 2.

LINKS

Table of n, a(n) for n=1..7.

F. Ruskey, Number of Elements of GF(5^n) with given trace and subtrace

EXAMPLE

a(2;4,2)=2. Let GF(5^2) be defined by the field extension GF(5)[x]/( 2+b+b^2 ). The two elements of GF(5^2) with trace 4 and subtrace 2 are { b, 4+4b }.

CROSSREFS

Cf. A074006, A074007, A074008, A074009, A074010, A074012, A074013.

Sequence in context: A321442 A005693 A158419 * A054235 A016547 A081541

Adjacent sequences: A074008 A074009 A074010 * A074012 A074013 A074014

KEYWORD

nonn,more

AUTHOR

Frank Ruskey and Nate Kube, Aug 19 2002

STATUS

approved

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Last modified December 5 12:26 EST 2022. Contains 358586 sequences. (Running on oeis4.)