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Search: id:A091981
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| A091981 |
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Poincare series (or Molien series) for GL_2(4):2. |
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+0
1
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| 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 3, 1, 3, 3, 4, 3, 5, 3, 7, 6, 7, 8, 12, 8, 12, 12, 14, 14, 18, 15, 22, 20, 22, 24, 30, 26, 33, 33, 37, 37, 43, 40, 50, 49, 52, 55, 64, 59, 69, 70, 76, 78, 86, 83, 97, 96, 101, 106, 118, 113, 126, 128, 137, 140, 151, 149, 167, 167, 174, 181, 197, 192
(list; graph; listen)
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OFFSET
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0,9
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REFERENCES
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A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 269.
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FORMULA
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G.f. = p(x)/q(x), where
p(x) = 1 + x^6 + 2*x^8 + x^9 + x^11 + 2*x^12 + x^13 + 3*x^14 + 2*x^15 + 3*x^16 + 3*x^17 + 2*x^18 + 2*x^19 + 4*x^20 + 3*x^21 + 4*x^22 + 4*x^23 + 4*x^24 + 4*x^25 + 4*x^26 + 4*x^27 + 5*x^28 + 5*x^29 + 4*x^30 + 4*x^31 + 4*x^32 + 4*x^33 + 4*x^34 + 4*x^35 + 3*x^36 + 4*x^37 + 2*x^38 + 2*x^39 + 3*x^40 + 3*x^41 + 2*x^42 + 3*x^43 + x^44 + 2*x^45 + x^46 + x^48 + 2*x^49 + x^51 + x^57,
and q(x) = (1-x^10)*(1-x^12)*(1-x^15)*(1-x^24).
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CROSSREFS
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Sequence in context: A105540 A057043 A070091 this_sequence A060247 A060246 A123541
Adjacent sequences: A091978 A091979 A091980 this_sequence A091982 A091983 A091984
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 18 2004
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