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A058819 a(0) = 1, a(1) = 4; for n>=2 a(n) is the number of degree-n monic reducible polynomials over GF(4), i.e. a(n) = 4^n - A027377(n). +0
1
1, 4, 10, 44, 196, 820, 3426, 14044, 57376, 233024, 943822, 3813004, 15379476, 61946644, 249262666 (list; graph; listen)
OFFSET

0,2

COMMENT

Dimensions of homogeneous subspaces of shuffle algebra over 4-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. A027377.

Sequence in context: A149224 A149225 A122648 this_sequence A052394 A066229 A149226

Adjacent sequences: A058816 A058817 A058818 this_sequence A058820 A058821 A058822

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 20:09 EST 2009. Contains 167514 sequences.


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