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Search: id:A133510
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| A133510 |
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Number of primitive H-invariant prime ideals in O_q(M_n) generic quantum matrices. |
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+0
1
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| 2, 5, 17, 53, 167, 515, 1577, 4793, 14507, 43775, 131837, 396533, 1191647, 3579035, 10745297, 32252273, 96789587, 290434295, 871433957, 2614564013, 7844216327, 23533697555, 70603189817, 211813763753, 635449679867, 1906365816815
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Equation given in Bell, Launois, Nguyen, page 2.
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LINKS
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J. Bell, S. Launois and N. Nguyen, Dimension and enumeration of primitive ideals in quantum algebras, v2, Nov 29, 2007.
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FORMULA
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a(n) = ((3^(n+1))-(2^(n+1))+((-1)^(n+1))+2)/4.
G.f.: x(2-5x+2x^2+3x^3)/((1-x)(1-3x)(1-2x)(1+x)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 30 2008]
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EXAMPLE
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a(8) = ((3^(8 + 1)) - (2^(8 + 1)) + ((-1)^(8 + 1)) + 2) / 4 = 4793.
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CROSSREFS
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Sequence in context: A148406 A148407 A141303 this_sequence A148408 A002692 A148409
Adjacent sequences: A133507 A133508 A133509 this_sequence A133511 A133512 A133513
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 30 2007
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