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Search: id:A129549
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| A129549 |
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Measures of entanglement in 4-qbits. |
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3
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| 1, 3, 20, 78, 352, 1365, 5232, 18271, 60598, 187296, 548020, 1515265, 3991204, 10035401, 24210308, 56188768, 125904351, 273044682, 574635828, 1176027747, 2345376048, 4565886531, 8691118644, 16198834634, 29602895824, 53105875363
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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David Meyer and Nolan Wallach, Invariants for multiple qubits: the case of 3 qubits, Mathematics of quantum computing, Computational Mathematics Series, 77-98, Chapman&Hall/CRC, 2002.
Nolan Wallach, The Hilbert sereies of measures of entanglement for 4 q-bits, Acta Appl. Math. 86(2005),203-220.
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FORMULA
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G.f.: (P(q) + q^54*P(1/q))/((1 - q^2)^3*(1 - q^4)^11*(1 - q^6)^6) where P(q) = 1 + 3*q^4 + 20*q^6 + 76*q^8 + 219*q^10 + 654*q^12 + 1539*q^14 + 3119*q^16 + 5660*q^18 + 9157*q^20 + 12876*q^22 + 16177*q^24 + 18275*q^26
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CROSSREFS
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Cf. A000217, A129548.
Sequence in context: A067600 A160456 A006411 this_sequence A092786 A015529 A000948
Adjacent sequences: A129546 A129547 A129548 this_sequence A129550 A129551 A129552
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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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