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 A133348 Dimensions of certain Lie algebra (see reference for precise definition). 0
 1, 32, 462, 4224, 28314, 151008, 674817, 2617472, 9038458, 28316288, 81662152, 219288576, 553361016, 1322057088, 3009057018, 6558440064, 13748813155, 27825992480, 54545269350, 103848201600, 192502703250, 348178802400, 615628210275, 1065899278080, 1809869155380 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), 143-179. [Th. 7.2(ii), case a=4] LINKS Table of n, a(n) for n=0..24. Anatol N. Kirillov, Notes on Schubert, Grothendieck and key polynomials, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 034, 56 p. (2016). FORMULA G.f.: (x^6+16*x^5+70*x^4+112*x^3+70*x^2+16*x+1) / (x-1)^16. - Colin Barker, Jul 27 2013 MAPLE b:=binomial; t72b:= proc(a, k) ((a+k+1)/(a+1)) * b(k+2*a+1, k)*b(k+3*a/2+1, k)/(b(k+a/2, k)); end; [seq(t72b(4, k), k=0..28)]; CROSSREFS Sequence in context: A283811 A066580 A076070 * A010837 A022724 A284339 Adjacent sequences: A133345 A133346 A133347 * A133349 A133350 A133351 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Oct 20 2007 STATUS approved

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Last modified September 23 14:07 EDT 2023. Contains 365551 sequences. (Running on oeis4.)