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A074023 Number of elements of GF(7^n) with trace 1 and subtrace 6. 9
0, 2, 6, 56, 301, 2450, 16807 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same as the number of elements of GF(7^n) with trace 2 and subtrace 3. Same as the number of elements of GF(7^n) with trace 3 and subtrace 5. Same as the number of elements of GF(7^n) with trace 4 and subtrace 5. Same as the number of elements of GF(7^n) with trace 5 and subtrace 3. Same as the number of elements of GF(7^n) with trace 6 and subtrace 6.

LINKS

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

F. Ruskey, Number of Elements of GF(7^n) with given trace and subtrace

EXAMPLE

a(3;1,6)=6. Let GF(7^3) be defined by the field extension GF(7)[x]/( 3+b^2+b^3 ). The six elements of GF(7^3) with trace 1 and subtrace 6 are { 1+2b, 2+5b, 1+3b+b^2, 4+5b+b^2, 6+2b+6b^2, 2+4b+6b^2 }.

CROSSREFS

Cf. A074014, A074015, A074016, A074017, A074018, A074019, A074020, A074021, A074022.

Sequence in context: A193473 A181509 A213026 * A000146 A318001 A211933

Adjacent sequences:  A074020 A074021 A074022 * A074024 A074025 A074026

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey and Nate Kube, Aug 19 2002

STATUS

approved

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Last modified August 24 14:11 EDT 2019. Contains 326282 sequences. (Running on oeis4.)