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A008634 Molien series for A_11. +0
2
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 76, 99, 131, 169, 219, 278, 355, 445, 560, 695, 863, 1060, 1303, 1586, 1930, 2331, 2812, 3370, 4035, 4802, 5708, 6751, 7972, 9373, 11004, 12866, 15021, 17475 (list; graph; listen)
OFFSET

0,3

REFERENCES

D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 105.

LINKS

Index entries for Molien series

FORMULA

G.f.: (1+x^55)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)*(1-x^11)).

MAPLE

(1+x^55)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)/(1-x^11)

Conjecture: It appears that the following Maple code produces this sequence: ZL:=[S, {S = Set(Sequence(Z, 1<= card), card <=11)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=0..39); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 19 2008

CROSSREFS

Differs from A008640 at 55th term.

Sequence in context: A008633 A035999 A036010 this_sequence A008640 A036011 A104501

Adjacent sequences: A008631 A008632 A008633 this_sequence A008635 A008636 A008637

KEYWORD

nonn,easy

AUTHOR

njas

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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