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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.

FORMULA

Empirical 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

AUTHOR

N. J. A. Sloane, Oct 20 2007

STATUS

approved

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Last modified December 7 04:21 EST 2021. Contains 349567 sequences. (Running on oeis4.)