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A089596
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G.f.: (1+2*x^3+3*x^6+x^8+6*x^9+2*x^11+9*x^12+x^14+10*x^15+x^16+9*x^18+2*x^19+6*x^21+x^22+3*x^24+2*x^27+x^30)/((1-x^5)^2*(1-x^12)^2).
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1
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1, 0, 0, 2, 0, 2, 3, 0, 5, 6, 3, 8, 11, 8, 13, 18, 14, 22, 26, 22, 35, 38, 34, 48, 55, 52, 64, 74, 72, 88, 97, 94, 117, 126, 123, 148, 161, 160, 183, 200, 202, 228, 244, 246, 281, 298, 298, 336, 359, 362, 398, 424, 432, 472, 497, 506, 555, 582, 589, 642, 677, 686, 737, 776, 792
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| A_8 = SL_2(4) and acts on F_2[x_1, ..., x_4]. This is the Poincare series (or Molien series) for the subgroup A_5 =SL_2(F_4). See A090492 for the other A_5.
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REFERENCES
| A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 113.
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MATHEMATICA
| CoefficientList[Series[(1+2x^3+3x^6+x^8+6x^9+2x^11+9x^12+x^14+10x^15+x^16+9x^18+2x^19+6x^21+ x^22+3x^24+2x^27+x^30)/((1-x^5)^2(1-x^12)^2), {x, 0, 80}], x] (* From Harvey P. Dale, Apr 02 2011 *)
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CROSSREFS
| Sequence in context: A160706 A087509 A181871 * A105805 A194547 A049581
Adjacent sequences: A089593 A089594 A089595 * A089597 A089598 A089599
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 31 2003
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