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A058822 a(0) = 1, a(1) = 7; for n>=2 a(n) is the number of degree-n monic reducible polynomials over GF(7), i.e. a(n) = 7^n - A001693(n). +0
1
1, 7, 28, 231, 1813, 13447, 98105, 705895, 5044501, 35869911, 254229409, 1797569767, 12687856601 (list; graph; listen)
OFFSET

0,2

COMMENT

Dimensions of homogeneous subspaces of shuffle algebra over 7-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. A001693.

Sequence in context: A025030 A001554 A026664 this_sequence A054369 A050548 A140447

Adjacent sequences: A058819 A058820 A058821 this_sequence A058823 A058824 A058825

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 25 14:49 EST 2009. Contains 167514 sequences.


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