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A058824 a(0) = 1, a(1) = 9; for n>=2 a(n) is the number of degree-n monic reducible polynomials over GF(9), i.e. a(n) = 9^n - A027381(n). 0
1, 9, 45, 489, 4941, 47241, 443001, 4099689, 37666701, 344373849, 3138111873, 28528236009 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Dimensions of homogeneous subspaces of shuffle algebra over 9-letter alphabet (see A058766 for 2-letter case).

REFERENCES

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

LINKS

Table of n, a(n) for n=0..11.

CROSSREFS

Cf. A058766.

Cf. A027381.

Sequence in context: A001556 A009432 A145757 * A177742 A050909 A042003

Adjacent sequences:  A058821 A058822 A058823 * A058825 A058826 A058827

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

STATUS

approved

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Last modified June 17 23:56 EDT 2013. Contains 226327 sequences.