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A008624 G.f.: (1+x^3)/((1-x^2)(1-x^4)) = (1-x+x^2)/((1+x)(1-x)^2*(1+x^2)). +0
4
1, 0, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 6, 5, 6, 6, 7, 6, 7, 7, 8, 7, 8, 8, 9, 8, 9, 9, 10, 9, 10, 10, 11, 10, 11, 11, 12, 11, 12, 12, 13, 12, 13, 13, 14, 13, 14, 14, 15, 14, 15, 15, 16, 15, 16, 16, 17 (list; graph; listen)
OFFSET

0,5

COMMENT

Molien series of 2-dimensional representation of group of order 16 over GF(3).

a(n) = A110654(A028242(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 05 2005

REFERENCES

D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 107.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

Index entries for Molien series

FORMULA

a(n) = floor(n/8) + (n mod 2 + 1 - floor((n mod 4)/3)) mod 2. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 05 2005

MAPLE

(1+x^3)/(1-x^2)/(1-x^4);

CROSSREFS

Essentially the same as A059169.

Cf. A110659.

Sequence in context: A143966 A029363 A033922 this_sequence A059169 A026922 A161090

Adjacent sequences: A008621 A008622 A008623 this_sequence A008625 A008626 A008627

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Replaced x^2 three times by x in the generating function (un-aerated). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 23 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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