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 A058823 a(0) = 1, a(1) = 8; for n >= 2 a(n) is the number of degree-n monic reducible polynomials over GF(8), i.e., a(n) = 8^n - A027380(n). 0
 1, 8, 36, 344, 3088, 26216, 218548, 1797560, 14680576, 119304704, 966370924, 7809031448, 62992875856, 507466905128, 4083900481540, 32838747285128, 263882791714816, 2119341001115528, 17013598599759616, 136530178177126616, 1095275429430191920, 8784163844623695896 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Dimensions of homogeneous subspaces of shuffle algebra over 8-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 PROG (PARI) a(n) = if (n<=1, 8^n, 8^n - sumdiv(n, d, moebius(d)*8^(n/d))/n); \\ Michel Marcus, Oct 30 2017 CROSSREFS Cf. A027380, A058766. Sequence in context: A126756 A203297 A181072 * A244301 A268157 A203020 Adjacent sequences:  A058820 A058821 A058822 * A058824 A058825 A058826 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 More terms from Michel Marcus, Oct 30 2017 STATUS approved

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Last modified May 21 10:41 EDT 2022. Contains 353908 sequences. (Running on oeis4.)