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A133240 Dimensions of certain Lie algebra (see reference for precise definition). 1
1, 133, 7371, 238602, 5248750, 85709988, 1101296924, 11604306012, 103402141164, 797856027500, 5431803835220, 33125614508610, 183226228734150, 928793118827175, 4352687787515625, 18999500104801125, 77742635367237750, 299864450702202750 (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. 7.1, case a=4; Th. 7.2(i), case a=8]

LINKS

Table of n, a(n) for n=0..17.

MAPLE

b:=binomial; t71:= proc(a, k) ((3*a+2*k+5)/(3*a+5)) * b(k+2*a+3, k)*b(k+5*a/2+3, k)*b(k+3*a+4, k)/(b(k+a/2+1, k)*b(k+a+1, k)); end; [seq(t71(4, k), k=0..30)];

CROSSREFS

Sequence in context: A028295 A262121 A254684 * A129050 A129049 A281496

Adjacent sequences:  A133237 A133238 A133239 * A133241 A133242 A133243

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 15 2007

STATUS

approved

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Last modified October 3 09:59 EDT 2022. Contains 357231 sequences. (Running on oeis4.)