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A058820 a(0) = 1, a(1) = 5; for n>=2 a(n) is the number of degree-n monic reducible polynomials over GF(5), i.e. a(n) = 5^n - A001692(n). +0
1
1, 5, 15, 85, 475, 2501, 13045, 66965, 341875, 1736125, 8789377, 44389205, 223796925, 1126802885 (list; graph; listen)
OFFSET

0,2

COMMENT

Dimensions of homogeneous subspaces of shuffle algebra over 5-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. A001692.

Sequence in context: A030487 A165470 A165625 this_sequence A054363 A134135 A121869

Adjacent sequences: A058817 A058818 A058819 this_sequence A058821 A058822 A058823

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 December 18 21:37 EST 2009. Contains 171024 sequences.


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