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A058818 a(0) = 1, a(1) = 3; for n>=2 a(n) is the number of degree-n monic reducible polynomials over GF(3), i.e. a(n) = 3^n - A027376(n). +0
1
1, 3, 6, 19, 63, 195, 613, 1875, 5751, 17499, 53169, 161043, 487221, 1471683, 4441485, 13392331 (list; graph; listen)
OFFSET

0,2

COMMENT

Dimensions of homogeneous subspaces of shuffle algebra over 3-letter alphabet (see A058766 for 2-letter case).

REFERENCES

M. Lothaire, Combinatorics on words, Cambridge mathematical library, 1983, p. 126 (definition of shuffle algebra).

CROSSREFS

Cf. A058766.

Cf. A027376.

Adjacent sequences: A058815 A058816 A058817 this_sequence A058819 A058820 A058821

Sequence in context: A148572 A052393 A024607 this_sequence A081181 A062164 A052408

KEYWORD

nonn

AUTHOR

Claude Lenormand (claude.lenormand(AT)free.fr), Jan 04 2001

EXTENSIONS

Better description from Sharon Sela (sharonsela(AT)hotmail.com), Feb 19 2002

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Last modified November 8 19:30 EST 2009. Contains 166227 sequences.


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