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Search: id:A091769
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| A091769 |
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Poincare series (or Molien series) for a certain six-fold wreath product P_6. |
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+0
1
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| 1, 0, 1, 1, 2, 2, 5, 4, 9, 10, 16, 19, 32, 35, 55, 67, 95, 117, 166, 199, 276, 339, 449, 555, 731, 889, 1154, 1413, 1794, 2193, 2764, 3347, 4181, 5058, 6233, 7519, 9208, 11027, 13411, 16015, 19307, 22970, 27538, 32582, 38851, 45805, 54265, 63747, 75170, 87896, 103179
(list; graph; listen)
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OFFSET
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0,5
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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. 203.
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FORMULA
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( x^75 + x^70 + x^68 + x^67 + x^66 + 2*x^65 + 2*x^64 + 2*x^63 + 3*x^62 + 4*x^61 + 4*x^60 + 5*x^59 + 5*x^58 + 6*x^57 + 7*x^56 + 8*x^55 + 10*x^54 + 10*x^53 + 11*x^52 + 13*x^51 + 14*x^50 + 15*x^49 + 17*x^48 + 18*x^47 + 19*x^46 + 20*x^45 + 21*x^44 + 22*x^43 + 23*x^42 + 23*x^41 + 24*x^40 + 23*x^39 + 24*x^38 + 24*x^37 + 23*x^36 + 24*x^35 + 23*x^34 + 23*x^33 + 22*x^32 + 21*x^31 + 20*x^30 + 19*x^29 + 18*x^28 + 17*x^27 + 15*x^26 + 14*x^25 + 13*x^24 + 11*x^23 + 10*x^22 + 10*x^21 + 8*x^20 + 7*x^19 + 6*x^18 + 5*x^17 + 5*x^16 + 4*x^15 + 4*x^14 + 3*x^13 + 2*x^12 + 2*x^11 + 2*x^10 + x^9 + x^8 + x^7 + x^5 + 1 ) / ( (1 - x^2)*(1- x^3)*(1 - x^4)*(1 - x^6)^2*( 1- x^8)*(1 - x^9)*(1 - x^12)^2 *(1 - x^10)*(1 - x^15)*(1 - x^18)).
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CROSSREFS
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Sequence in context: A058657 A027633 A091726 this_sequence A034402 A095057 A056439
Adjacent sequences: A091766 A091767 A091768 this_sequence A091770 A091771 A091772
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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 17 2004
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