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Search: id:A129550
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| A129550 |
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Number of real polynomial invariants for the action of 4 copies of U(2) on the fourth tensor power of C^2. |
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1
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| 1, 1, 8, 20, 98, 293, 1128, 3409, 10846, 30480, 84652, 217677, 544312, 1289225, 2961626, 6528284, 13980717, 28963980, 58464510, 114806429, 220298632, 412950779, 758418342, 1365044296, 2412766496, 4189995629, 7159916414
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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Nolan R. Wallach, The Hilbert series for measures of entanglement in 4 qubits, Acta Appl. Math. 86(2005),203-220.
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FORMULA
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G.f.: (R(q) + q^76*R(1/q))/((1 - q^2)*(1 - q^4)^7*(1 - q^6)^6*(1 - q^8)^4*(1 - q^10)) where R(q) = 1 + 6*q^6 + 46*q^8 + 110*q^10 + 344*q^12 + 844*q^14 + 2154*q^16 + 4606*q^18 + 9397*q^20 + 16848*q^22 + 28747*q^24 + 44580*q^26 + 65366*q^28 + 88036*q^30 + 111909*q^32 + 131368*q^34 + 145676*q^36 + 149860/2*q^38.
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CROSSREFS
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Cf. A129548, A129549.
Sequence in context: A003685 A066011 A007016 this_sequence A014584 A074472 A094253
Adjacent sequences: A129547 A129548 A129549 this_sequence A129551 A129552 A129553
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KEYWORD
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nonn
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AUTHOR
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Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Apr 20 2007
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