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A008666 G.f.: 1/((1-x^2)(1-x^3)(1-x^5)(1-x^6)(1-x^9)). +0
1
1, 0, 1, 1, 1, 2, 3, 2, 4, 5, 5, 7, 9, 8, 12, 14, 14, 18, 22, 21, 28, 31, 32, 39, 45, 45, 55, 61, 63, 74, 83, 84, 99, 108, 112, 128, 141, 144, 165, 178, 185, 207, 225, 231, 259, 278, 288, 318, 342, 352, 389 (list; graph; listen)
OFFSET

0,6

COMMENT

Molien series for 5-dimensional complex reflection group of order 2^7.3^4.5 is 1/((1-x^4)(1-x^6)(1-x^10)(1-x^12)(1-x^18)).

REFERENCES

L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 33).

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 247

Index entries for Molien series

PROGRAM

(PARI) a(n)=polcoeff(1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^6)*(1-x^9))+x*O(x^n), n)

CROSSREFS

Sequence in context: A119465 A090321 A120641 this_sequence A140503 A043263 A118978

Adjacent sequences: A008663 A008664 A008665 this_sequence A008667 A008668 A008669

KEYWORD

nonn

AUTHOR

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

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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