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A008649 Molien series of 3 X 3 upper triangular matrices over GF( 3 ). 0
1, 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7, 7, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18, 18, 22, 22, 22, 26, 26, 26, 30, 30, 30, 35, 35, 35, 40, 40, 40, 45, 45, 45, 51, 51, 51, 57, 57, 57, 63, 63, 63, 70, 70, 70, 77, 77, 77 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

Number of partitions of n into parts 1, 3 or 9. [Reinhard Zumkeller, Aug 12 2011]

REFERENCES

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

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 219

Index entries for Molien series

FORMULA

G.f.: 1/((1-x)*(1-x^3)*(1-x^9))

MAPLE

1/(1-x)/(1-x^3)/(1-x^9)

CROSSREFS

Sequence in context: A029160 A032562 A076973 * A008650 A062051 A179269

Adjacent sequences:  A008646 A008647 A008648 * A008650 A008651 A008652

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 17 14:19 EST 2012. Contains 206038 sequences.