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A133353 Dimensions of certain Lie algebra (see reference for precise definition). 0
1, 945, 219912, 21488544, 1139660280, 38177564139, 892057462725, 15580701253260, 213956841238140, 2399777401421400, 22644486186626304, 184024677027809280, 1312566991805977344, 8344965320236093032, 47903608753899166620, 250980634154501770596 (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(iii), case a=6]

LINKS

Table of n, a(n) for n=0..15.

MAPLE

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(6, k), k=1..40)];

CROSSREFS

Sequence in context: A289953 A112491 A263889 * A322252 A119240 A257722

Adjacent sequences:  A133350 A133351 A133352 * A133354 A133355 A133356

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 20 2007

STATUS

approved

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Last modified May 9 02:55 EDT 2021. Contains 343685 sequences. (Running on oeis4.)