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A133350
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Dimensions of certain Lie algebra (see reference for precise definition).
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0
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1, 90, 1274, 8568, 38115, 130130, 369460, 915552, 2043621, 4198810, 8065134, 14651000, 25393095, 42280434, 68000360, 106108288, 161222985, 239249178, 347629282, 495626040, 694637867, 958548690, 1304114076, 1751385440, 2324174125, 3050557146, 3963426390
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OFFSET
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0,2
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REFERENCES
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J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), 143-179. [Th. 7.2(iii), case a=1]
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LINKS
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Table of n, a(n) for n=0..26.
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FORMULA
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Empirical g.f.: (14*x^5+273*x^4+840*x^3+582*x^2+82*x+1) / (x-1)^8. - Colin Barker, Jul 27 2013
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MAPLE
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b:=binomial; t72c:= proc(a, k) ((4*k+3*a+2)/((3*a+2)*(k+1))) * b(k+a, k)*b(k+a+1, k)*b(k+3*a/2-1, k)*b(k+3*a/2, k)*b(2*k+2*a+1, 2*k)/ (b(k+a/2-1, k)*b(k+a/2, k)*b(2*k+a, 2*k)); end; [seq(t72c(1, k), k=1..40)];
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CROSSREFS
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Sequence in context: A213455 A155016 A179800 * A279438 A250869 A234983
Adjacent sequences: A133347 A133348 A133349 * A133351 A133352 A133353
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Oct 20 2007
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STATUS
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approved
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