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A123991
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G.f.: (1-x^2+x^4)/((1-x)^2*(1-x^2)^4*(1-x^3)^4).
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0
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1, 2, 6, 14, 29, 56, 107, 186, 320, 530, 851, 1332, 2051, 3074, 4544, 6602, 9444, 13322, 18579, 25564, 34827, 46954, 62692, 82954, 108889, 141732, 183169, 235042, 299584, 379434, 477763, 598036, 744628, 922348, 1136838, 1394608, 1703246, 2071068, 2508084
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Poincare series P(C_{3,2}; x).
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REFERENCES
| B. Broer, Hilbert series for modules of covariants, in Algebraic Groups and Their Generalizations..., Proc. Sympos. Pure Math., 56 (1994), Part I, 321-331.
Y. Teranishi, The ring of invariants of matrices, Nagoya Math. J., 104 (1986), 149-161.
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LINKS
| Dragomir Z. Djokovic, Poincare series of some pure and mixed trace algebras of two generic matrices. See Table 3, lines 4 and 5, also Table 5, lines 1 and 2.
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FORMULA
| Or, (1+x^6)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).
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CROSSREFS
| Sequence in context: A027083 A169948 A192705 * A112511 A063452 A009299
Adjacent sequences: A123988 A123989 A123990 * A123992 A123993 A123994
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 21 2006
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