A008624 - OEIS

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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)).

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; refs; listen; history; internal format)

	OFFSET	`0,5`
	COMMENTS	`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: A178695 A029363 A033922 * A059169 A026922 A178696` `Adjacent sequences: A008621 A008622 A008623 * 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 February 13 14:15 EST 2012. Contains 205503 sequences.