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 A007995 PoincarĂ© series [or Poincare series] of Lie algebra associated with a certain braid group. 0
 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; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The series in the Humphries paper has zeros interleaved. LINKS S. P. Humphries, Home page 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. FORMULA (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, Jun 11 2005 G.f.: (-45*x^15 +520*x^14 -2705*x^13 +8340*x^12 -16875*x^11 +23430*x^10 -22710*x^9 +15480*x^8 -7695*x^7 +3300*x^6 -1586*x^5 +745*x^4 -235*x^3 +40*x^2 -5*x)/(x-1)^15. - Mark van Hoeij, Oct 21 2011 CROSSREFS Sequence in context: A187444 A166176 A154780 * A091928 A305739 A290903 Adjacent sequences:  A007992 A007993 A007994 * A007996 A007997 A007998 KEYWORD nonn AUTHOR EXTENSIONS More terms from Ralf Stephan, Jun 11 2005 STATUS approved

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Last modified April 6 11:51 EDT 2020. Contains 333273 sequences. (Running on oeis4.)