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Search: id:A007995
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| A007995 |
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Poincare series of Lie algebra associated with a certain braid group. |
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+0
1
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| 5, 35, 235, 1380, 6711, 26630, 89695, 266305, 716460, 1780978, 4147915, 9144485, 19231895, 38819255, 75566971, 142424625, 260749275, 464984685, 809559075, 1378889190, 2301674475, 3771041860, 6072576655, 9622868805, 15021940010
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The series in the Humphries paper has zeros interleaved.
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REFERENCES
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S. P. Humphries, Braid groups, infinite Lie algebras of Cartan type and rings of invariants, Topology and its Applications, 95 (3) (1999) pp. 173-205.
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LINKS
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S. P. Humphries, Home page
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FORMULA
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(1/87178291200) [n^14 + 91*n^13 + 3731*n^12 + 91091*n^11 + 1474473*n^10 + 16429413*n^9 + 126387833*n^8 + 659772113*n^7 + 430175746*n^6 - 19046231204*n^5 - 113904491064*n^4 + 733785439296*n^3 + 1856912273280*n^2 - 12048593356800*n + 13512635136000 ]. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Jun 11 2005
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CROSSREFS
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Adjacent sequences: A007992 A007993 A007994 this_sequence A007996 A007997 A007998
Sequence in context: A038143 A024062 A002074 this_sequence A091928 A104532 A087630
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KEYWORD
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nonn
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AUTHOR
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Stephen P Humphries (steve(AT)math.byu.edu)
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EXTENSIONS
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More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Jun 11 2005
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