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A074021 Number of elements of GF(7^n) with trace 1 and subtrace 4. +0
10
0, 2, 6, 42, 350, 2450, 16807 (list; graph; listen)
OFFSET

1,2

COMMENT

Same as the number of elements of GF(7^n) with trace 2 and subtrace 2. Same as the number of elements of GF(7^n) with trace 3 and subtrace 1. Same as the number of elements of GF(7^n) with trace 4 and subtrace 1. Same as the number of elements of GF(7^n) with trace 5 and subtrace 2. Same as the number of elements of GF(7^n) with trace 6 and subtrace 4.

LINKS

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

EXAMPLE

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

CROSSREFS

Cf. A074014, A074015, A074016, A074017, A074018, A074019, A074020, A074022, A074023.

Sequence in context: A127071 A151333 A074015 this_sequence A050862 A161632 A115974

Adjacent sequences: A074018 A074019 A074020 this_sequence A074022 A074023 A074024

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey, Nate Kube (fruskey(AT)cs.uvic.ca), Aug 19 2002

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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