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A038521 Number of elements of GF(2^n) with trace 1 and subtrace 1. +0
4
0, 1, 0, 3, 4, 6, 20, 28, 64, 136, 240, 528, 1024, 2016, 4160, 8128, 16384, 32896, 65280, 131328, 262144, 523776, 1049600, 2096128, 4194304, 8390656, 16773120, 33558528, 67108864, 134209536, 268451840, 536854528, 1073741824 (list; graph; listen)
OFFSET

0,4

LINKS

F. Ruskey, Number of irreducible polynomials over GF(2) with given trace and subtrace

F. Ruskey, Number of elements of GF(2^n) of given trace and subtrace

FORMULA

C(n, r+0)+C(n, r+4)+C(n, r+8)+... where r = 3 if n odd, r = 1 if n even.

CROSSREFS

Cf. A038504, A000749.

Cf. A038518, A038519, A038520.

Sequence in context: A136242 A066732 A038520 this_sequence A081888 A019209 A019120

Adjacent sequences: A038518 A038519 A038520 this_sequence A038522 A038523 A038524

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey (fruskey(AT)cs.uvic.ca)

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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